CN111122358A - Method for determining fatigue life of magnesium alloy by considering hysteretic elastic energy - Google Patents

Method for determining fatigue life of magnesium alloy by considering hysteretic elastic energy Download PDF

Info

Publication number
CN111122358A
CN111122358A CN202010030789.0A CN202010030789A CN111122358A CN 111122358 A CN111122358 A CN 111122358A CN 202010030789 A CN202010030789 A CN 202010030789A CN 111122358 A CN111122358 A CN 111122358A
Authority
CN
China
Prior art keywords
magnesium alloy
fatigue life
elastic
mpa
energy
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Granted
Application number
CN202010030789.0A
Other languages
Chinese (zh)
Other versions
CN111122358B (en
Inventor
刘新田
朱梦雨
张海鹏
吴悫
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
SAIC Volkswagen Automotive Co Ltd
Shanghai University of Engineering Science
Original Assignee
SAIC Volkswagen Automotive Co Ltd
Shanghai University of Engineering Science
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by SAIC Volkswagen Automotive Co Ltd, Shanghai University of Engineering Science filed Critical SAIC Volkswagen Automotive Co Ltd
Priority to CN202010030789.0A priority Critical patent/CN111122358B/en
Publication of CN111122358A publication Critical patent/CN111122358A/en
Application granted granted Critical
Publication of CN111122358B publication Critical patent/CN111122358B/en
Expired - Fee Related legal-status Critical Current
Anticipated expiration legal-status Critical

Links

Images

Classifications

    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N3/00—Investigating strength properties of solid materials by application of mechanical stress
    • G01N3/32—Investigating strength properties of solid materials by application of mechanical stress by applying repeated or pulsating forces
    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N2203/00—Investigating strength properties of solid materials by application of mechanical stress
    • G01N2203/0001—Type of application of the stress
    • G01N2203/0005—Repeated or cyclic
    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N2203/00—Investigating strength properties of solid materials by application of mechanical stress
    • G01N2203/0058—Kind of property studied
    • G01N2203/0069—Fatigue, creep, strain-stress relations or elastic constants
    • G01N2203/0073—Fatigue

Landscapes

  • Physics & Mathematics (AREA)
  • Health & Medical Sciences (AREA)
  • Life Sciences & Earth Sciences (AREA)
  • Chemical & Material Sciences (AREA)
  • Analytical Chemistry (AREA)
  • Biochemistry (AREA)
  • General Health & Medical Sciences (AREA)
  • General Physics & Mathematics (AREA)
  • Immunology (AREA)
  • Pathology (AREA)
  • Investigating Strength Of Materials By Application Of Mechanical Stress (AREA)

Abstract

The invention relates to a method for determining fatigue life of magnesium alloy in consideration of hysteresis elastic energy, which comprises the steps of firstly determining the value of a parameter influencing the fatigue life of the magnesium alloy, then inputting the value into a simultaneous equation set, and solving to obtain the fatigue life of the magnesium alloy; the simultaneous equations are as follows:
Figure DDA0002364213140000011
Figure DDA0002364213140000012
Figure DDA0002364213140000013
Figure DDA0002364213140000014
in the formula, NfThe fatigue life of the magnesium alloy. The method for determining the fatigue life of the magnesium alloy in consideration of the hysteretic elastic energy can be used for more accurately calculating the fatigue life of the magnesium alloy, and has ten advantagesThe method has important practical significance.

Description

Method for determining fatigue life of magnesium alloy by considering hysteretic elastic energy
Technical Field
The invention belongs to the technical field of metal fatigue life estimation, and relates to a method for determining fatigue life of magnesium alloy by considering hysteretic elastic energy.
Background
The phenomenon of hysteresis causes the internal units of metal to rub against each other, and most of the internal energy is converted into heat energy and discharged into the air. Some of the energy has a significant impact on fatigue damage. The anelastic strain generated in the AZ31 magnesium alloy has an important effect on fatigue life under high frequency and low load conditions. Therefore, it is necessary to consider the influence of the hysteresis energy on the fatigue life of the magnesium alloy to obtain a more accurate fatigue life of the magnesium alloy.
Disclosure of Invention
The invention aims to solve the problem that the hysteresis elasticity phenomenon is not considered in the determination of the fatigue life of the magnesium alloy in the prior art, and provides a method for determining the fatigue life of the magnesium alloy by considering the hysteresis elasticity.
In order to achieve the purpose, the technical scheme adopted by the invention is as follows:
a method for determining the fatigue life of a magnesium alloy in consideration of hysteretic elastic energy comprises the steps of firstly determining the value of a parameter influencing the fatigue life of the magnesium alloy, then inputting the value into a simultaneous equation set, and solving to obtain the fatigue life of the magnesium alloy;
the simultaneous equations are as follows:
Figure BDA0002364213120000011
Figure BDA0002364213120000012
Figure BDA0002364213120000013
Figure BDA0002364213120000014
in the formula, NfFatigue life of magnesium alloy;
Wfmechanical energy to cause fatigue damage is given in units of J;
ΔWifatigue damage density of hysteretic energy is represented by J;
ΔWpis the plastic strain energy damage density, in units of J;
n' is a cyclic strain hardening index,
Figure BDA0002364213120000015
b is fatigue strength coefficient, b is-0.083-0.166 log (sigma)f/σb)，σfIs the metal fracture strength in MPa, sigmabIs tensile strength in MPa, c is fatigue ductility index,
Figure BDA0002364213120000021
εfthe fracture toughness of the metal is expressed in MPa-m1/2E is the elastic modulus of the magnesium alloy, and the unit is MPa;
σ0is the load in units of MPa,
Figure BDA0002364213120000022
σmaxis the maximum stress in MPa, σminIs the minimum stress in MPa;
Δεpis the plastic strain, in m,
Figure BDA0002364213120000023
σ'fin order to be an index of the fatigue strength,
Figure BDA0002364213120000024
ε'fin order to obtain a coefficient of fatigue ductility,
Figure BDA0002364213120000025
Figure BDA0002364213120000026
is the ith anelastic strain in m,
Figure BDA0002364213120000027
E(Ni) Modulus of elasticity for each cyclic loading:
Figure BDA0002364213120000028
ε1(Ni) The strain is corrected for the dynamics of the modified modulus of elasticity,
Figure BDA0002364213120000029
Nithe total number of i-th cycle (1, 2,3,4,5,6 … …, and N for the last cycle)fTotal number of times is Nf，NfI.e., fatigue life), α is the metallohysteresis parameter,
Figure BDA00023642131200000210
omega is the angular velocity, with unit rad/s,
Figure BDA00023642131200000211
for the time of each cyclic loading,
Figure BDA00023642131200000212
f is the loading frequency in units of s-1，δiThe elastic lag angle of the ith cycle,
Figure BDA00023642131200000213
αmfor the elastic lag angle correction factor, delta1Is an initial elastic lag angle, delta1 α＝kmf,kmIs the initial lag angle linear coefficient;
wherein σf、σb、εfThe values of E and E are determined by examining a fatigue design manual, σmax、σmin、ω、f、αmAnd kmThe value of (a) is a test set value.
The key creation point of the invention is that a dynamic elastic modulus model considering the elastic modulus change under the cyclic load is established based on the hysteresis elasticity of the magnesium alloy, the influence of the elastic hysteresis angle on the elastic modulus is mainly considered, a dynamic elastic strain coefficient (elastic modulus model) is introduced, a fatigue failure hysteresis elastic energy density model is established, the energy density of each cyclic load is accumulated, the total energy of fatigue failure is obtained, and the fatigue life is calculated through the total energy.
The general hysteresis elastic strain equation considers that the hysteresis angle is constant, the model provided by the invention is based on a calculation model of the hysteresis angle, hysteresis elastic strain is calculated by substituting the calculation model of the hysteresis angle provided by the invention, the dynamic elastic modulus is corrected by the elastic hysteresis angle, hysteresis elastic strain is calculated by the dynamic elastic modulus, hysteresis elastic strain energy density is calculated by the hysteresis elastic strain, and the hysteresis elastic strain energy density is summed to finally obtain the total failure hysteresis elastic energy, which is not considered in the prior art.
Has the advantages that:
the method for determining the fatigue life of the magnesium alloy in consideration of the hysteresis elastic energy can be used for accurately calculating the fatigue life of the magnesium alloy, and has important practical significance for analyzing the structural reliability of automobile systems such as an automobile clutch shell, a valve cover, a gearbox cylinder cover, an air conditioner shell, a steering wheel, a steering support, a brake support and the like.
Drawings
FIG. 1 is a strain-hysteresis curve;
FIG. 2 is a graph showing the relationship between the elastic modulus and the number of cycles;
FIG. 3 is a graph of a double logarithmic parameter fit of S-N magnesium alloy;
FIG. 4 is a S-N plot of a magnesium alloy.
Detailed Description
The invention will be further illustrated with reference to specific embodiments. It should be understood that these examples are for illustrative purposes only and are not intended to limit the scope of the present invention. Further, it should be understood that various changes or modifications of the present invention may be made by those skilled in the art after reading the teaching of the present invention, and such equivalents may fall within the scope of the present invention as defined in the appended claims.
A method for determining fatigue life of magnesium alloy considering hysteretic elastic energy comprises the following specific steps:
(1) establishing a simultaneous equation set;
(1.1) determining the energy conversion relation:
under the condition of determining the load and stress ratio, the mechanical energy transmitted to each cyclic load test piece is constant, the cyclic load can be regarded as a sinusoidal load, alternating stress acts on metal to generate mechanical energy, the mechanical energy is converted into elastic strain energy, plastic strain energy and hysteresis elastic strain energy inside the metal, the elastic strain energy is generally considered not to influence fatigue damage, fatigue cracks and metal fatigue failure are mainly caused by hysteresis elastic strain energy and plastic strain energy, the influence of the plastic strain on the fatigue failure is small due to the lower stress level of the test piece, the mechanical energy is converted and accumulated in the metal in the form of hysteresis elastic strain energy and elastic strain energy, when the metal generates elastic deformation, the elastic energy is released, and part of the hysteresis elastic strain energy and the plastic energy causes the metal fatigue damage;
(1.2) establishing a dynamic elastic modulus model:
the experimental study shows that the elastic modulus is in a descending trend along with the increase of the cycle number, when the load cycle reaches a certain number, the elastic modulus is stable and does not change greatly, the elastic modulus is considered to be composed of a static elastic modulus and a dynamic elastic modulus, but the dynamic elastic modulus is considered to be the hysteretic elastic strain of a metal test piece in consideration of the situation that deformation cannot be completely recovered, and the dynamic strain is considered to be the static strain epsilon0And dynamic elastic strain coefficient ε1(Ni) The elastic modulus model formula is formed by two parts, the hysteresis elastic strain changes along with the change of the load cycle number, and when the load is constant stress:
Figure BDA0002364213120000041
in the formula: e (N)i) The modulus of elasticity for each cyclic load, which is a variable that varies with the number of loads, σ0Is the load in units of MPa,
Figure BDA0002364213120000042
σmaxis the maximum stress in MPa, σminIs the minimum stress in MPa;
Figure BDA0002364213120000043
ε1(Ni) For dynamic correction of the strain for the modified modulus of elasticity, it is a dynamic parameter, called the dynamic elastic strain coefficient, defined
Figure BDA0002364213120000044
Wherein N isiIs the total number of cycles at the i-th cycle, δiThe elastic lag angle of the ith cycle,
Figure BDA0002364213120000045
αmfor the elastic lag angle correction factor, delta1Is an initial elastic lag angle, delta1 α＝kmf,kmIs the linear coefficient of the initial lag angle,
Figure BDA0002364213120000046
σbis tensile strength in MPa, n' is the cyclic strain hardening index,
Figure BDA0002364213120000047
b is fatigue strength coefficient, b is-0.083-0.166 log (sigma)f/σb)，σfIs the metal fracture strength in MPa, c is the fatigue ductility index,
Figure BDA0002364213120000048
εfthe fracture toughness of the metal is expressed in MPa-m1/2E is the elastic modulus of the magnesium alloy, and the unit is MPa;
(1.3) calculating the i-th anelastic strain:
the strain of an elastic material is independent of time, and the relationship between strain and stress can be expressed as epsilont＝ε0sin ω t, and for newtonian viscous materials,
Figure BDA0002364213120000049
this means that the lag angle of the strain lags behind the stress
Figure BDA00023642131200000410
The viscoelasticity mechanical property of the metal is between viscosity and elasticity, and the lag angle of the metal strain lags behind the stress
Figure BDA00023642131200000411
Thus, the anelastic strain expression for a metal is:
Figure BDA00023642131200000412
in the formula:
Figure BDA00023642131200000413
is the i-th anelastic strain in m, ω is the angular velocity in rad/s,
Figure BDA00023642131200000414
for the time of each cyclic loading,
Figure BDA00023642131200000415
f is the loading frequency in units of s-1；
The phenomenon of hysteresis elasticity enables a part of mechanical energy to be stored in a material in the form of hysteresis elastic energy, as shown in fig. 1, under a certain loading frequency, the strain always lags behind a certain stress stage, the stress strain is asynchronous, the elastic energy cannot be completely released, the elastic strain energy is generated, a part of the elastic strain energy can be converted into heat energy, and a part of the elastic strain energy can act on fatigue damage;
along with the change of the loading frequency, the elasticity lag angle of AZ31 magnesium alloy is different, the deformation degree of internal metal elements can cause the change of elastic modulus, along with the increase of the number of load cycles, the deformation of magnesium alloy units is continuously changed, so the elastic modulus is changed, based on the change of the elastic modulus, the influence of the loading frequency on the elastic modulus is considered, a dynamic elastic modulus model is adopted to estimate the fatigue life, based on an elastic strain function, the influence of the loading size and the loading frequency is considered, and an elastic strain hysteresis correction formula is given:
Figure BDA0002364213120000051
in the formula:
Figure BDA0002364213120000052
for the static strain generated by the stress applied to the test piece after the elastic modulus is corrected, sin (δ (f, σ) can be considered because the value of the hysteresis angle is small0) Is equal to δ (f, σ)0)；
(1.4) estimating the fatigue life by adopting a dynamic elastic modulus model, and establishing a fatigue life model:
from the above, the initial lag angle is related to the loading frequency and the load size, and the elastic lag angle increases with the increase of the load and the frequency, the AZ31 magnesium alloy is a hysteresis elastomer, when the applied alternating load is lower than the yield limit, the internal unit of the alloy elastically deforms, the fatigue life of the alloy changes with the change of the loading frequency, and the fatigue life decreases when the loading frequency increases, which indicates that the loading frequency has an important influence on the fatigue life of the AZ31 magnesium alloy;
when the loading frequency is higher than the elastic strain recovery frequency of the metal element, the strain lags behind the stress to generate elastic energy, most of the elastic energy is converted into heat energy in the air in the metal, and one part of the elastic energy is used as internal consumption of the metal to cause fatigue damage of the metal;
on one hand, the elastic lag angle is mainly influenced by the loading frequency, on the other hand, the elastic lag angle acts on the alloy unit, different lag angles show different hysteresis elastic strains of metal elements, so that the elastic modulus of the alloy is in a dynamic process, the mechanical property of the AZ31 magnesium alloy is in a constantly changing state in the loading process due to the change of the elastic modulus, and the fatigue life of the magnesium alloy is considered reasonably according to the elastic lag angle;
research shows that alternating stress acts on metal, about 25% of mechanical energy causes fatigue damage, and the mechanical energy density caused by mechanical energy in each period is 0.25 delta W assuming that the proportion of mechanical energy converted into damage energy in each cyclic load is the samem；
Since most of the hysteretic energy in the metal is also transferred to the air in the form of heat energy, the proportion of energy converted into fatigue damage is considered to be the same as that of mechanical energy, and the calculation formula of 25 percent of mechanical energy (hysteretic energy fatigue damage density) causing fatigue damage can be obtained by combining the hysteretic stress-strain curve with a cyclically generated energy:
Figure BDA0002364213120000061
when the test piece fails, by accumulating the mechanical energy damage density, the mechanical damage energy (mechanical energy causing fatigue damage) inputted externally can be obtained:
Figure BDA0002364213120000062
because the fatigue damage caused by elastic strain energy is not considered, the mechanical energy of fatigue failure is equal to the sum of the damage density of the elastic strain energy and the damage density of the plastic strain energy, and the plastic strain is smaller because the stress is smaller than the elastic limit, the density of the plastic strain energy can be considered to be constant;
Figure BDA0002364213120000063
in the formula, NfFor fatigue life of magnesium alloys, Δ WpIn order to achieve a plastic strain energy damage density,
Figure BDA0002364213120000064
Δεpis the plastic strain, in m,
Figure BDA0002364213120000065
σ'fin order to be an index of the fatigue strength,
Figure BDA0002364213120000066
ε'fin order to obtain a coefficient of fatigue ductility,
Figure BDA0002364213120000067
the resulting system of simultaneous equations is as follows:
Figure BDA0002364213120000068
Figure BDA0002364213120000069
Figure BDA00023642131200000610
Figure BDA00023642131200000611
in the formula, NfFatigue life of magnesium alloy;
Wfmechanical energy to cause fatigue damage is given in units of J;
ΔWifatigue damage density of hysteretic energy is represented by J;
ΔWpis the plastic strain energy damage density, in units of J;
n' is a cyclic strain hardening index,
Figure BDA0002364213120000071
b is fatigue strength coefficient, b is-0.083-0.166 log (sigma)f/σb)，σfIs the metal fracture strength in MPa, sigmabIs tensile strength in MPa, c is fatigue ductility index,
Figure BDA0002364213120000072
εfthe fracture toughness of the metal is expressed in MPa-m1/2E is the elastic modulus of the magnesium alloy, and the unit is MPa;
σ0is the load in units of MPa,
Figure BDA0002364213120000073
σmaxis the maximum stress in MPa, σminIs the minimum stress in MPa;
Δεpis the plastic strain, in m,
Figure BDA0002364213120000074
σ'fin order to be an index of the fatigue strength,
Figure BDA0002364213120000075
ε'fin order to obtain a coefficient of fatigue ductility,
Figure BDA0002364213120000076
Figure BDA0002364213120000077
is the ith anelastic strain in m,
Figure BDA0002364213120000078
E(Ni) Modulus of elasticity for each cyclic loading:
Figure BDA0002364213120000079
ε1(Ni) The strain is corrected for the dynamics of the modified modulus of elasticity,
Figure BDA00023642131200000710
Nithe total number of i-th cycle (1, 2,3,4,5,6 … …, and N for the last cycle)fTotal number of times is Nf，NfI.e., fatigue life), α is the metallohysteresis parameter,
Figure BDA00023642131200000711
omega is the angular velocity, with unit rad/s,
Figure BDA00023642131200000712
for the time of each cyclic loading,
Figure BDA00023642131200000713
f is the loading frequency in units of s-1，δiThe elastic lag angle of the ith cycle,
Figure BDA00023642131200000714
αmfor the elastic lag angle correction factor, delta1Is an initial elastic lag angle, delta1 α＝kmf,kmIs the initial lag angle linear coefficient;
(2) determining the value of a parameter influencing the fatigue life of the magnesium alloy, wherein sigmaf、σb、εfThe values of E and E are determined by looking up a manual, σmax、σmin、ω、f、αmAnd kmThe value of (A) is a set value;
(3) and substituting the values of the parameters influencing the fatigue life of the magnesium alloy into a simultaneous equation set, and solving to obtain the fatigue life of the magnesium alloy.
The fatigue life of the magnesium alloy under different loading frequencies of 80MPa is calculated, and the elastic lag angle corresponding to the fatigue life is obtained by calculating the lag angle under different frequencies, as shown in Table 1, the elastic lag angle is increased along with the increase of the loading frequency, when the loading frequency is smaller, the metal unit completely recovers the elastic strain, and the lag angle is smaller.
TABLE 1
Figure BDA0002364213120000081
The fatigue life of AZ31 magnesium was predicted, and the chemical composition (weight/%) of AZ31 magnesium is shown in table 2.
TABLE 2
Figure BDA0002364213120000082
The parameter related to the elastic strain energy of AZ31 magnesium, n' ═ 0.2028, Delta epsilonp＝2.4033×10-5It can be seen from the calculations that the plastic strain is small under small loads, that is, the anelastic strain energy has a significant effect on fatigue damage of the metal under small loads when the load frequency is high.
The magnesium alloy AZ31 was subjected to a fatigue test (ref Horynov M, zapleatal J,
Figure BDA0002364213120000083
P,
Figure BDA0002364213120000084
evaluation of magic life of AZ31 magnesium alloy contaminated by squeezing casting. Mater. Des.2013; 45: 253-.
TABLE 3
Figure BDA0002364213120000085
R is stress ratio, sigmamaxAnd σminThe ratio psi is the reduction of area.
The test values and the predicted values of the fatigue life of the magnesium alloy AZ31 under the stress of 50MPa to 110MPa are shown in Table 4.
TABLE 4
Figure BDA0002364213120000086
Figure BDA0002364213120000091
As can be seen from Table 4, the predicted values substantially agreed with the test values. The test values have certain dispersion and test error factorsThere is an abnormality in the individual test values. From the analysis of the predicted values, it can be seen that the fatigue life and load are logarithmic. Through the fitting of the load and the predicted value, the S-N curve N of the AZ31 magnesium alloy is 1016.0988S-6.2222As shown in fig. 3.
Figure 2 shows the elastic modulus curves of magnesium alloys at four different stress levels. According to the equation εtThe elastic modulus of the metal is continuously changed under the action of alternating external force load, and the elastic modulus shows the gradual reduction process along with the increase of the load.
In using the log-log prediction for fatigue life and load, the S-N curve is shown in FIG. 3. The discrete points represent test data and the curves represent stress-fatigue life curves corresponding to the above-described method. Through logarithmic calculation of test data, the fatigue life of the test is basically linearly related to the stress, which is basically consistent with the existing research results. The test results are discrete due to uncertainties in the test operation, but may reflect the fundamental laws of fatigue life. According to the fatigue life prediction model established above, under different stress loads, the fatigue life is predicted by considering the influence of the dynamic change of the elastic modulus. As shown in fig. 3, the fitted curve more intuitively shows that the fatigue life and stress are logarithmically linear, and the test values are substantially distributed on both sides of the fitted curve.
Based on the proposed fatigue life prediction method described above, a curve was fitted according to the predicted values listed in table 4, such as S-N shown in fig. 4. The predicted curve is well matched with the test value.

Claims (1)

1. A method for determining fatigue life of magnesium alloy in consideration of hysteretic elastic energy is characterized by comprising the following steps: firstly, determining the value of a parameter influencing the fatigue life of the magnesium alloy, then inputting the value into a simultaneous equation set, and solving to obtain the fatigue life of the magnesium alloy;
the simultaneous equations are as follows:
Figure FDA0002364213110000011
Figure FDA0002364213110000012
Figure FDA0002364213110000013
Figure FDA0002364213110000014
in the formula, NfFatigue life of magnesium alloy;
Figure FDA0002364213110000015
b＝-0.083-0.166log(σf/σb)，σfis the metal fracture strength in MPa, sigmabThe tensile strength is expressed in MPa,
Figure FDA0002364213110000016
εfthe fracture toughness of the metal is expressed in MPa-m1 /2E is the elastic modulus of the magnesium alloy, and the unit is MPa;
Figure FDA0002364213110000017
σmaxis the maximum stress in MPa, σminIs the minimum stress in MPa;
Figure FDA0002364213110000018
Figure FDA0002364213110000019
Niis the total cycle number of the ith cycle,
Figure FDA00023642131100000110
omega is the angular velocity, with unit rad/s,
Figure FDA00023642131100000111
f is the loading frequency in units of s-1，
Figure FDA00023642131100000112
αmFor the elastic lag angle correction factor, delta1 α＝kmf,kmIs the initial lag angle linear coefficient;
wherein σf、σb、εfThe values of E and E are determined by looking up a manual, σmax、σmin、ω、f、αmAnd kmIs taken as a set value.
CN202010030789.0A 2020-01-13 2020-01-13 Method for determining fatigue life of magnesium alloy by considering hysteretic elastic energy Expired - Fee Related CN111122358B (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
CN202010030789.0A CN111122358B (en) 2020-01-13 2020-01-13 Method for determining fatigue life of magnesium alloy by considering hysteretic elastic energy

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
CN202010030789.0A CN111122358B (en) 2020-01-13 2020-01-13 Method for determining fatigue life of magnesium alloy by considering hysteretic elastic energy

Publications (2)

Publication Number Publication Date
CN111122358A true CN111122358A (en) 2020-05-08
CN111122358B CN111122358B (en) 2022-05-31

Family

ID=70488250

Family Applications (1)

Application Number Title Priority Date Filing Date
CN202010030789.0A Expired - Fee Related CN111122358B (en) 2020-01-13 2020-01-13 Method for determining fatigue life of magnesium alloy by considering hysteretic elastic energy

Country Status (1)

Country Link
CN (1) CN111122358B (en)

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN115577578A (en) * 2022-12-09 2023-01-06 中国空气动力研究与发展中心设备设计与测试技术研究所 Method for safety assessment and service life prediction of selective laser melting plate

Citations (18)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US20020139194A1 (en) * 2000-08-31 2002-10-03 Cooper Tire & Rubber Company Method and article of manufacture for estimating material failure due to crack formation and growth
US20070295098A1 (en) * 2006-06-22 2007-12-27 Balestra Chester L System and method for determining fatigue life expenditure of a component
CN101187615A (en) * 2007-12-04 2008-05-28 东风汽车有限公司 Method for evaluating fatigue performance of rubber-plastic viscoelastic component
CN101839904A (en) * 2009-03-12 2010-09-22 通用汽车环球科技运作公司 Predict the aluminium alloy system and method for the fatigue lifetime under multiaxis loads
US20120253704A1 (en) * 2011-03-29 2012-10-04 University Of Tennessee Research Foundation Method and apparatus for fatigue and viscoeleastic property testing of asphalt mixtures using a loaded wheel tester
US20120271566A1 (en) * 2011-04-21 2012-10-25 Vinayak Deshmukh Method for the prediction of fatigue life for structures
CN103196741A (en) * 2013-03-26 2013-07-10 四川升拓检测技术有限责任公司 Nondestructive testing method for bearing capacity of concrete bridge based on elastic modulus
CN103630450A (en) * 2013-12-10 2014-03-12 云南云岭高速公路养护绿化工程有限公司 Asphalt mixture life prediction method considering fatigue-creep interaction damage effect
CN103761365A (en) * 2013-12-28 2014-04-30 合肥通用机械研究院 High-temperature pressure vessel creep fatigue strength design method based on service life
CN104217094A (en) * 2013-05-13 2014-12-17 Lms国际公司 A process for calculating fatigue and fatigue failure of structures
CN104460339A (en) * 2014-10-27 2015-03-25 上海理工大学 Active load spectrum control method used for designing automobile transmission structures in lightweight mode
CN105302987A (en) * 2015-11-15 2016-02-03 北京工业大学 Equivalent method for predicting thermo-mechanical fatigue life
CN106979861A (en) * 2017-03-30 2017-07-25 北京理工大学 Gear Contact Fatigue Life appraisal procedure and device
CN108984926A (en) * 2018-07-25 2018-12-11 湖南大学 A kind of Multiaxial Fatigue Life Prediction method
CN109165407A (en) * 2018-07-18 2019-01-08 上海工程技术大学 A kind of predictor method for the mechanical component fatigue crack service life
CN109214078A (en) * 2018-08-28 2019-01-15 华南理工大学 A kind of knuckle analysis of Fatigue-life method
CN110059432A (en) * 2019-04-26 2019-07-26 上海工程技术大学 A method of estimation fatigue crack initiation size numerical value
CN110455651A (en) * 2019-08-12 2019-11-15 武汉理工大学 A kind of antifatigue cracking performance evaluation method of bituminous pavement based on cuboid test specimen

Patent Citations (18)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US20020139194A1 (en) * 2000-08-31 2002-10-03 Cooper Tire & Rubber Company Method and article of manufacture for estimating material failure due to crack formation and growth
US20070295098A1 (en) * 2006-06-22 2007-12-27 Balestra Chester L System and method for determining fatigue life expenditure of a component
CN101187615A (en) * 2007-12-04 2008-05-28 东风汽车有限公司 Method for evaluating fatigue performance of rubber-plastic viscoelastic component
CN101839904A (en) * 2009-03-12 2010-09-22 通用汽车环球科技运作公司 Predict the aluminium alloy system and method for the fatigue lifetime under multiaxis loads
US20120253704A1 (en) * 2011-03-29 2012-10-04 University Of Tennessee Research Foundation Method and apparatus for fatigue and viscoeleastic property testing of asphalt mixtures using a loaded wheel tester
US20120271566A1 (en) * 2011-04-21 2012-10-25 Vinayak Deshmukh Method for the prediction of fatigue life for structures
CN103196741A (en) * 2013-03-26 2013-07-10 四川升拓检测技术有限责任公司 Nondestructive testing method for bearing capacity of concrete bridge based on elastic modulus
CN104217094A (en) * 2013-05-13 2014-12-17 Lms国际公司 A process for calculating fatigue and fatigue failure of structures
CN103630450A (en) * 2013-12-10 2014-03-12 云南云岭高速公路养护绿化工程有限公司 Asphalt mixture life prediction method considering fatigue-creep interaction damage effect
CN103761365A (en) * 2013-12-28 2014-04-30 合肥通用机械研究院 High-temperature pressure vessel creep fatigue strength design method based on service life
CN104460339A (en) * 2014-10-27 2015-03-25 上海理工大学 Active load spectrum control method used for designing automobile transmission structures in lightweight mode
CN105302987A (en) * 2015-11-15 2016-02-03 北京工业大学 Equivalent method for predicting thermo-mechanical fatigue life
CN106979861A (en) * 2017-03-30 2017-07-25 北京理工大学 Gear Contact Fatigue Life appraisal procedure and device
CN109165407A (en) * 2018-07-18 2019-01-08 上海工程技术大学 A kind of predictor method for the mechanical component fatigue crack service life
CN108984926A (en) * 2018-07-25 2018-12-11 湖南大学 A kind of Multiaxial Fatigue Life Prediction method
CN109214078A (en) * 2018-08-28 2019-01-15 华南理工大学 A kind of knuckle analysis of Fatigue-life method
CN110059432A (en) * 2019-04-26 2019-07-26 上海工程技术大学 A method of estimation fatigue crack initiation size numerical value
CN110455651A (en) * 2019-08-12 2019-11-15 武汉理工大学 A kind of antifatigue cracking performance evaluation method of bituminous pavement based on cuboid test specimen

Non-Patent Citations (8)

* Cited by examiner, † Cited by third party
Title
GENG, SHUANGLONG等: "Load Spectrum for Automotive Wheels Hub Based on Mixed Probability Distribution Model", 《PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS, PART D: JOURNAL OF AUTOMOBILE ENGINEERING》 *
M.M.HE.等: "Plastic Strain Energy Model for Rock Salt Under Fatigue loading", 《ACTA MECHANICA SOLIDA SINICA》 *
WANG, HAIJIE等: "Numerical Method for Estimating Fatigue Crack Initiation Size Using Elastic–Plastic Fracture Mechanics Method", 《APPLIED MATHEMATICAL MODELLING》 *
XUE FEI等: "Life Prediction and Stress Evolvement for Low Cycle Fatigue in PWR Primary Pipe Material", 《AIP CONFERENCE PROCEEDINGS》 *
何飞等主编: "《材料物理性能分析》", 28 February 2018, 哈尔滨工业大学出版社 *
张彦华编著: "《焊接结构原理》", 1 December 2011, 北京航空航天大学出版社 *
王润主编: "《金属材料物理性能》", 30 November 1985, 冶金工业出版社 *
黄丽编著: "《聚合物复合材料》", 31 January 2012, 中国轻工业出版社 *

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN115577578A (en) * 2022-12-09 2023-01-06 中国空气动力研究与发展中心设备设计与测试技术研究所 Method for safety assessment and service life prediction of selective laser melting plate

Also Published As

Publication number Publication date
CN111122358B (en) 2022-05-31

Similar Documents

Publication Publication Date Title
Fatemi et al. Application of bi-linear log–log S–N model to strain-controlled fatigue data of aluminum alloys and its effect on life predictions
Kang et al. Constitutive modeling of strain range dependent cyclic hardening
Lin et al. Investigation of uniaxial low-cycle fatigue failure behavior of hot-rolled AZ91 magnesium alloy
CN110334405B (en) High-temperature multi-axis low-cycle fatigue life prediction method based on Chaboche structure and Lemailre damage model
Mehar et al. Thermoelastic deflection responses of CNT reinforced sandwich shell structure using finite element method
Al-Rubaie et al. Fatigue crack growth analysis of pre-strained 7475–T7351 aluminum alloy
Epaarachchi et al. A new cumulative fatigue damage model for glass fibre reinforced plastic composites under step/discrete loading
CN112580235B (en) Nonlinear estimation method for high cycle fatigue crack initiation life of metal structure
WO2009076972A1 (en) Method of determining fatigue life and remaining life
Chung et al. Modeling creep in thermoplastic composites
CN111122358B (en) Method for determining fatigue life of magnesium alloy by considering hysteretic elastic energy
Marohnić et al. Evaluation of the possibility of estimating cyclic stress-strain parameters and curves from monotonic properties of steels
Jono Fatigue damage and crack growth under variable amplitude loading with reference to the counting methods of stress–strain ranges
CN115329544A (en) Fatigue life prediction method under multi-axis variable amplitude load
Babaei et al. Damage-based modification for fatigue life prediction under non-proportional loadings
Gao A cumulative damage model for fatigue life of composite laminates
Sathyanarayanan et al. Evaluation of dynamic fracture toughness of cold worked 9Cr–1Mo steel
Li et al. Identification of combined hardening model parameters by considering pre-tensile stress for 2024-T3 aluminum alloy
Madani et al. Numerical analysis of the elastic-plastic behavior of a tubular structure in FGM under pressure and defect presence
Machado Geometrically non-linear approximations on stability and free vibration of composite beams
Butler et al. Experiments on interactive buckling in optimized stiffened panels
Echle et al. Simulation of damage evolution in a uni-directional titanium matrix composite subjected to high cycle fatigue
Li et al. A modified method to estimate fatigue parameters of wrought aluminum alloys
Cox Life prediction for bridged fatigue cracks
Borodii Determination of the non-proportional cyclic hardening coefficient sensitive to the loading amplitude

Legal Events

Date Code Title Description
PB01 Publication
PB01 Publication
SE01 Entry into force of request for substantive examination
SE01 Entry into force of request for substantive examination
GR01 Patent grant
GR01 Patent grant
CF01 Termination of patent right due to non-payment of annual fee

Granted publication date: 20220531

CF01 Termination of patent right due to non-payment of annual fee