CN113514346A - Device and method for measuring shear modulus of material - Google Patents

Device and method for measuring shear modulus of material Download PDF

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CN113514346A
CN113514346A CN202110799819.9A CN202110799819A CN113514346A CN 113514346 A CN113514346 A CN 113514346A CN 202110799819 A CN202110799819 A CN 202110799819A CN 113514346 A CN113514346 A CN 113514346A
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sample
measuring
shear modulus
loading rod
scale
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翦知渐
谢中
周艳明
周正贵
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Changzhou Fengzhi Test Technology Co ltd
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Hunan University
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N3/00Investigating strength properties of solid materials by application of mechanical stress
    • G01N3/22Investigating strength properties of solid materials by application of mechanical stress by applying steady torsional forces
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N3/00Investigating strength properties of solid materials by application of mechanical stress
    • G01N3/02Details
    • G01N3/06Special adaptations of indicating or recording means
    • G01N3/068Special adaptations of indicating or recording means with optical indicating or recording means
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N2203/00Investigating strength properties of solid materials by application of mechanical stress
    • G01N2203/0014Type of force applied
    • G01N2203/0021Torsional
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N2203/00Investigating strength properties of solid materials by application of mechanical stress
    • G01N2203/0058Kind of property studied
    • G01N2203/0069Fatigue, creep, strain-stress relations or elastic constants
    • G01N2203/0075Strain-stress relations or elastic constants
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N2203/00Investigating strength properties of solid materials by application of mechanical stress
    • G01N2203/02Details not specific for a particular testing method
    • G01N2203/026Specifications of the specimen
    • G01N2203/0262Shape of the specimen
    • G01N2203/0266Cylindrical specimens
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N2203/00Investigating strength properties of solid materials by application of mechanical stress
    • G01N2203/02Details not specific for a particular testing method
    • G01N2203/06Indicating or recording means; Sensing means
    • G01N2203/0641Indicating or recording means; Sensing means using optical, X-ray, ultraviolet, infrared or similar detectors
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N2203/00Investigating strength properties of solid materials by application of mechanical stress
    • G01N2203/02Details not specific for a particular testing method
    • G01N2203/06Indicating or recording means; Sensing means
    • G01N2203/067Parameter measured for estimating the property
    • G01N2203/0682Spatial dimension, e.g. length, area, angle

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Abstract

The invention discloses a device and a method for measuring the shear modulus of a material, wherein the device comprises a test frame, a test sample, a torque loader, a laser and a scale; the two ends of the sample are square heads, and the middle part of the sample is cylindrical; a square sample mounting hole is formed in the test frame, and one end of a sample is fixedly mounted in the sample mounting hole in the test frame; the torque loader is provided with a square hole and is fixed at the other end of the test sample through the square hole; the torque loader is provided with a loading rod, and the loading rod is perpendicular to the axis of the sample and is used for applying a shear load to the sample; and a reflector I is arranged on the side surface parallel to the axis of the sample, the laser can emit a light beam to the reflector I, and the light beam is reflected by the reflector I and then reaches the position of the scale. The invention has simple and compact structure and low cost; and the invention can obtain larger spot displacement by applying smaller load, is convenient for measurement, can not cause the material to enter a plastic deformation area, and obtains accurate result.

Description

Device and method for measuring shear modulus of material
Technical Field
The invention relates to a device and a method for measuring the shear modulus of a material.
Background
Shear modulus, also known as shear modulus, is an important parameter for measuring the magnitude of deformation of a material after being stressed within elastic limits, and is defined as the ratio of shear stress to shear strain. In engineering application, shear modulus plays a key role in rigidity design of a torsion member, and has important application in scientific research of materials, industry, prospecting and the like, so that a plurality of shear modulus measuring methods exist in various fields, and the measurement of shear modulus is one of common experimental projects in physics experiments of science and technology universities.
Common shear modulus measurement methods are: measuring the torsion angle of the test piece after the stress is applied on the torsion angle gauge by using a dial indicator or other sensors; measuring the elastic modulus and the Poisson ratio by an electrical measurement method, thereby obtaining the shear modulus; measuring the deflection of the test piece under the combined deformation to obtain the shear modulus; measuring the simple harmonic vibration period by using a torsional pendulum method, and then obtaining a shear modulus; measuring the shear modulus using the torque of the coil in the earth's magnetic field; there are also distinctive methods such as ultrasonic pulse method, secondary holography, etc. Each of these methods has its limitations, limited application fields, and poor versatility of the apparatus.
Disclosure of Invention
In order to solve the technical problems, the invention provides a device and a method for measuring the shear modulus of a material, which have the advantages of simple structure, low cost, high accuracy of measurement structure and good universality.
The technical scheme adopted by the invention is as follows: a device for measuring the shear modulus of a material comprises a test frame, a test sample, a torque loader, a laser and a scale; the two ends of the sample are square heads, and the middle part of the sample is cylindrical; a square sample mounting hole is formed in the test frame, and one end of a sample is fixedly mounted in the sample mounting hole in the test frame; the torque loader is provided with a square hole and is fixed at the other end of the test sample through the square hole; the torque loader is provided with a loading rod, and the loading rod is perpendicular to the axis of the sample and is used for applying a shear load to the sample; and a reflector I is arranged on the side surface parallel to the axis of the sample, the laser can emit a light beam to the reflector I, and the light beam is reflected by the reflector I and then reaches the position of the scale.
In the device for measuring the shear modulus of the material, one end of the sample is arranged in a sample mounting hole of the test frame through the sample clamp, the sample clamp comprises a clamp body and a clamp cover, the clamp body is of a square plate structure, and two bosses are symmetrically arranged at the top of the clamp body; a groove with a square cross section is arranged on one side surface of the clamp body, one end of the sample is arranged in the groove, and the clamp cover is arranged on the side surface through a screw to clamp and fix the sample; two side walls of the groove are respectively provided with a fastening screw hole, and a fastening screw is arranged in the fastening screw hole; the two bosses of the clamp body are respectively provided with a screw hole, and the clamp body is inserted into a sample mounting hole of the test frame and fixed on the test frame through screws.
In the device for measuring the shear modulus of the material, when the sample is vertically arranged, the device further comprises a fixed pulley and a weight tray, wherein the fixed pulley is arranged on a fixed pulley frame, the fixed pulley is arranged close to the loading rod, and the axis of the fixed pulley is parallel to the loading rod; the weight tray is connected with the loading rod through a string which is vertical to the loading rod and bypasses the fixed pulley.
In the device for measuring the shear modulus of the material, when the sample is horizontally arranged, the device further comprises a weight tray and a supporting seat, wherein the reflector I is positioned on the top surface of the torque loader, a supporting rod is arranged on the bottom surface of the torque loader, and the bottom end of the supporting rod is spherical and is supported on the supporting seat; the loading rod is arranged on the side surface of the torque loader, the loading rod is horizontally arranged, and the weight tray is connected with the loading rod through a string.
The device for measuring the shear modulus of the material further comprises a reflecting mirror II, the reflecting mirror II is arranged in parallel to the reflecting mirror I, and the laser can emit a light beam to the position of the scale after the light beam is reflected by the reflecting mirror I and the reflecting mirror II.
A method for measuring the shear modulus of the material by using the device for measuring the shear modulus of the material comprises the following steps:
1) and processing a sample by using the material to be measured, and assembling a device for measuring the shear modulus of the material.
2) Starting a laser and debugging the position of a scale; measuring the initial position of the reflected light spot on the scale;
3) then, applying a load on the loading rod, and measuring the position of the reflected light spot on the scale to obtain the displacement delta x of the light spot;
or applying loads on the loading rod for multiple times, wherein the magnitude of the loads applied for multiple times is an arithmetic progression, and the magnitude of the loads applied for two adjacent times is the same as the magnitude of the loads applied for the first time; and measuring the position of the light spot after each load application; then recording the measurement result of each time in a coordinate system taking the measurement times as an x axis and the position of the light spot as a y axis, performing linear fitting on points in the coordinate system to obtain a fitted straight line, and solving the slope of the fitted straight line to obtain the displacement delta x of the light spot under the first applied load;
4) and calculating the torsion angle phi of the sample under the first applied load according to the displacement delta x of the light spot, and further calculating to obtain the shear modulus of the material.
Compared with the prior art, the invention has the beneficial effects that:
the device for measuring the shear modulus of the material utilizes the sample with two square ends and a cylindrical middle part and the optical element to measure the shear modulus of the material, and has simple and compact structure and low cost; in addition, the torsional displacement of the sample after the load is applied is amplified through an optical principle, so that a larger light spot displacement can be obtained by applying a smaller load, the measurement is convenient, the material cannot enter a plastic deformation area, and the obtained result is accurate; and the sample of the invention has regular shape, is convenient for processing, and further reduces the experiment cost.
Drawings
Fig. 1 is a measurement schematic of the present invention.
Fig. 2 is a structural diagram of embodiment 1 of the present invention.
Fig. 3 is a sectional view a-a in fig. 1.
Fig. 4 is a schematic diagram of embodiment 1 of the present invention.
Fig. 5 is a structural view of embodiment 2 of the present invention.
Fig. 6 is a schematic diagram of embodiment 2 of the present invention.
Fig. 7 is a front view of the specimen holder of the present invention.
Fig. 8 is a sectional view taken along line B-B of fig. 7.
Detailed Description
The invention is further described below with reference to the accompanying drawings and examples.
Principle of measurement
As shown in fig. 1, a uniform cylindrical rod with length L and radius r at the bottom surface is fixed at the left end surface, and the right end surface is subjected to moment T to generate pure torsion. In view of symmetry, the cross-section of the rod rotates about the longitudinal axis as if it were a rigid body, while its radius remains straight and the cross-section remains circular. If the torsion angle is very small, the length and the radius of the rod are not changed. The right end face will rotate through an angle to the straight line AC position relative to the torsion angle phi, the generatrix AB of the rod surface.
Taking a small section of the round bar with the length dx, wherein the size of the shear strain gamma is as follows:
Figure BDA0003164268310000031
when the round bar is twisted, the twisting angle d phi/dx of the round bar per unit length is constant along the length direction of the round bar and is marked as theta. From fig. 1, it can be derived: theta is phi/L. According to hooke's law, the shear stress and the shear strain of the surface of the round bar should satisfy: τ ═ G γ ═ Gr θ
. The stress state inside the rod can be determined in the same way as the surface. At the position with the distance rho from the circle center, the corresponding relation is as follows: γ is ρ θ, and τ is G ρ θ. That is, its shear strain and shear stress vary linearly with distance, with a maximum at the surface.
The resultant moment of the shear stress should be equivalent to the external force torque tstone. The shear force τ dA acting on bin dA is the moment about the longitudinal axis of symmetry: τ ρ dA ═ G θ ρ2dA, and therefore the total torque T should be equal to the sum of the moments of the various bins over the entire cross-section:
T=∫Gθρ2dA=Gθ∫ρ2dA=GθI;
wherein: i is the polar moment of inertia of the cross section, for a circular section with radius r and diameter d, the polar moment of inertia is:
I=∫ρ2dA=πr4/2=πd4/32。
then, the relation between the shear modulus G and the total torsion angle phi of the end face can be obtained:
Figure BDA0003164268310000032
therefore, the shear modulus of the material can be measured by applying a certain external moment T to one end surface of the round rod and then measuring the torsion angle phi.
Example 1
As shown in fig. 2-4, the device for measuring the shear modulus of a material of the present invention comprises a test frame 1, a test sample 2, a torque loader 3, a fixed pulley 5, a weight tray 6, a laser 8 and a ruler 9. The two ends of the sample 2 are square heads, and the middle part of the sample is cylindrical. The test jig 1 is of a portal structure, a square sample mounting hole is formed in a cross beam of the test jig, and the sample mounting hole is vertically arranged. The upper end of the sample 2 is fixedly arranged in a sample mounting hole on the test jig. The torque loader 3 is provided with a square hole and is fixed at the lower end of the sample 2 through the square hole. The torque loader 3 is provided with two loading rods 31 (only one loading rod 31 can be provided), the two loading rods 31 are coaxial, the loading rods 31 are horizontally arranged (arranged perpendicular to the axis of the sample 2), and the loading rods 31 are used for applying shear load to the sample. The side surface parallel to the sample axis is provided with a reflector I4, the laser 8 can emit a light beam to a reflector I4, and the light beam is reflected by a reflector I4 to the position of the scale 9.
And a fixed pulley frame 7 is respectively arranged at the end parts close to the two loading rods 31, the fixed pulley 5 is arranged on the fixed pulley frame 7, and the axis of the fixed pulley 5 is parallel to the loading rods 31. The weight tray 6 is connected with the loading rod 31 through a string which is perpendicular to the loading rod 31 and passes through the fixed pulley 5. A reflecting mirror II can be added, and the laser 8 can emit a light beam to the position of the scale 9 after being reflected by the reflecting mirror I4 and the reflecting mirror II.
A method for measuring the shear modulus of the material by using the device for measuring the shear modulus of the material comprises the following steps:
1) sample 2 was processed with the material to be measured and a device for measuring the shear modulus of the material was assembled.
2) Starting the laser 8 and debugging the position of the scale 9; measuring the initial position of the reflected light spot on the scale 9;
3) then, applying a load on the loading rod, and measuring the position of the reflected light spot on the scale 9 to obtain the displacement delta x of the light spot;
4) and calculating the torsion angle phi of the sample under the first applied load according to the displacement delta x of the light spot, and further calculating to obtain the shear modulus of the material.
As shown in fig. 4, the measurement of Φ is achieved using an optical lever: a mirror I4 was attached to the side of the torque loader 3 and the laser beam was incident normally. When the rod is twisted by an angle phi, the reflected light I4 is deflected by an angle phi of 2 phi. A scale 9 is placed at a vertical distance D from the reflector, and the position of the light spot is measured. When the moving distance of the light spot at the torsion angle phi is deltax, the following can be obtained:
Figure BDA0003164268310000041
the material shear modulus G was then calculated by the following formula:
Figure BDA0003164268310000042
wherein: l is the length of the cylindrical portion of sample 2, d is the diameter of the cylindrical portion of sample 2, and F is the loading load; l is the moment arm of the loading load.
In order to facilitate the installation of the sample and improve the experimental precision, one end of the sample 2 is installed in the sample installation hole of the test stand through the sample clamp 10. As shown in fig. 7 and 8, the sample clamp 10 includes a clamp body 101 and a clamp cover 102, the clamp body 101 is a square plate-shaped structure, and two bosses are symmetrically arranged on the top of the clamp body 101. A groove with a square cross section is formed in one side face of the clamp body 101, one end of the sample 2 is placed in the groove 104, and the clamp cover 102 is installed on the side face through screws, so that the sample is clamped 2 and fixed. Two side walls of the groove are respectively provided with a fastening screw hole 105, and a fastening screw is arranged in the fastening screw hole 105. The two bosses of the clamp body 101 are respectively provided with a screw hole 103, and the clamp body 101 is inserted into a sample mounting hole of the test frame and fixed on the test frame through screws.
Example 2
As shown in figures 5 and 6, the device for measuring the shear modulus of the material comprises a test rack 1, a test sample 2, a torque loader 3, a fixed pulley 5, a weight plate 6, a laser 8, a supporting seat 11, a reflecting mirror II12 and a ruler 9. The two ends of the sample 2 are square heads, and the middle part of the sample is cylindrical. The test jig 1 is of a portal structure, a square sample mounting hole is formed in a cross beam of the test jig, and the sample mounting hole is horizontally arranged. One end of the sample 2 is fixedly arranged in a sample mounting hole on the test jig. The torque loader 3 is provided with a square hole and is fixed at the other end of the sample 2 through the square hole, and the sample 2 is horizontally arranged. The torque loader 3 is provided with a loading rod 31, the loading rod 31 is horizontally arranged (arranged perpendicular to the axis of the sample 2), and the weight tray 6 is connected with the loading rod 31 through a string and is used for applying shearing load to the sample 2. The top surface (the side surface parallel to the sample axis) of the torque loader 3 is provided with a reflector I4, a reflector II12 is horizontally arranged, the laser 8 can emit a light beam to the position of the scale 9 after being reflected by the reflector I4 and the reflector II12, and the scale 9 is horizontally arranged. The bottom surface of the torque loader 3 is provided with a support rod 32, and the bottom end of the support rod 32 is spherical and is supported on the support seat 11.
A method for measuring the shear modulus of the material by using the device for measuring the shear modulus of the material comprises the following steps:
1) sample 2 was processed with the material to be measured and a device for measuring the shear modulus of the material was assembled.
2) Starting the laser 8 and debugging the position of the scale 9; measuring the initial position of the reflected light spot on the scale 9;
3) then, applying a load on the loading rod 31 for multiple times, wherein the magnitude of the load applied for multiple times is an arithmetic progression, and the magnitude of the load applied for two adjacent times is the same as the magnitude of the load F applied for the first time; and measuring the position of the light spot after each load application; then recording the measurement result of each time in a coordinate system taking the measurement times as an x axis and the position of the light spot as a y axis, performing linear fitting on points in the coordinate system to obtain a fitted straight line, and solving the slope of the fitted straight line to obtain the displacement delta x of the light spot under the first applied load F;
4) and calculating the torsion angle phi under the first applied load F of the sample according to the displacement delta x of the light spot, and further calculating to obtain the material shear modulus G.
As shown in fig. 6, the measurement of the torsion angle Φ is also achieved by using an optical lever: a reflecting mirror I4 is attached to the top surface of the loading device 3, the laser beam is incident at a certain angle, and reaches a horizontally arranged reflecting mirror II12 after being reflected, and then is reflected to a ruler 9 on the desktop. When the angle between the reflected light and the normal direction of the reflecting mirror II12 is α, the coordinate of the spot position on the scale (with the support center position as the origin) is x ═ H1+H2) tan α. In the formula: h1 is the vertical distance from the incident point of the laser beam on the mirror I4 to the mirror II 12; h2 is the perpendicular distance between mirror II12 and scale 9.
When the rod is twisted by an angle phi, the reflected light will be deflected by an angle 2 phi, so the angle between the reflected light and the vertical direction is alpha-2 phi, so the distance deltax that the light spot moves will be:
Figure BDA0003164268310000061
in fact, since the twist angle φ is small, the high order terms are completely negligible and the above equation can be considered to be a linear relationship. Measuring delta x and other parameters to obtain a torsion angle phi, and substituting the absolute value of delta x into an equation (7) to obtain a shear modulus G:
Figure BDA0003164268310000062
in order to facilitate the installation of the sample and improve the experimental precision, one end of the sample 2 is installed in the sample installation hole of the test stand through the sample clamp 10. As shown in fig. 7 and 8, the sample clamp 10 includes a clamp body 101 and a clamp cover 102, the clamp body 101 is a square plate-shaped structure, and two bosses are symmetrically arranged on the top of the clamp body 101. A groove with a square cross section is formed in one side face of the clamp body 101, one end of the sample 2 is placed in the groove 104, and the clamp cover 102 is installed on the side face through screws, so that the sample is clamped 2 and fixed. Two side walls of the groove are respectively provided with a fastening screw hole 105, and a fastening screw is arranged in the fastening screw hole 105. The two bosses of the clamp body 101 are respectively provided with a screw hole 103, and the clamp body 101 is inserted into a sample mounting hole of the test frame and fixed on the test frame through screws.

Claims (6)

1. A device for measuring the shear modulus of a material is characterized in that: the device comprises a test frame, a test sample, a torque loader, a laser and a scale; the two ends of the sample are square heads, and the middle part of the sample is cylindrical; a square sample mounting hole is formed in the test frame, and one end of a sample is fixedly mounted in the sample mounting hole in the test frame; the torque loader is provided with a square hole and is fixed at the other end of the test sample through the square hole; the torque loader is provided with a loading rod, and the loading rod is perpendicular to the axis of the sample and is used for applying a shear load to the sample; and a reflector I is arranged on the side surface parallel to the axis of the sample, the laser can emit a light beam to the reflector I, and the light beam is reflected by the reflector I and then reaches the position of the scale.
2. The apparatus for measuring shear modulus of a material of claim 1, wherein: one end of the sample is arranged in a sample mounting hole of the test frame through a sample clamp, the sample clamp comprises a clamp body and a clamp cover, the clamp body is of a square plate-shaped structure, and two bosses are symmetrically arranged at the top of the clamp body; a groove with a square cross section is arranged on one side surface of the clamp body, one end of the sample is arranged in the groove, and the clamp cover is arranged on the side surface through a screw to clamp and fix the sample; two side walls of the groove are respectively provided with a fastening screw hole, and a fastening screw is arranged in the fastening screw hole; the two bosses of the clamp body are respectively provided with a screw hole, and the clamp body is inserted into a sample mounting hole of the test frame and fixed on the test frame through screws.
3. The apparatus for measuring shear modulus of a material of claim 1, wherein: when the sample is vertically arranged, the device also comprises a fixed pulley and a weight tray, wherein the fixed pulley is arranged on a fixed pulley frame, the fixed pulley is arranged close to the loading rod, and the axis of the fixed pulley is parallel to the loading rod; the weight tray is connected with the loading rod through a string which is vertical to the loading rod and bypasses the fixed pulley.
4. The apparatus for measuring shear modulus of a material of claim 1, wherein: when the sample is horizontally arranged, the device also comprises a weight tray and a supporting seat, wherein the reflecting mirror I is positioned on the top surface of the torque loader, a supporting rod is arranged on the bottom surface of the torque loader, and the bottom end of the supporting rod is spherical and is supported on the supporting seat; the loading rod is arranged on the side surface of the torque loader, the loading rod is horizontally arranged, and the weight tray is connected with the loading rod through a string.
5. The apparatus for measuring shear modulus of a material of claim 1, wherein: the laser device further comprises a reflecting mirror II, the reflecting mirror II is arranged in parallel to the reflecting mirror I, and the laser device can emit a light beam to the position of the scale after the light beam is reflected by the reflecting mirror I and the reflecting mirror II.
6. A method for measuring shear modulus of a material using the apparatus for measuring shear modulus of a material according to any one of claims 1 to 5, comprising the steps of:
1) processing a sample by using a material to be measured, and assembling a device for measuring the shear modulus of the material;
2) starting a laser and debugging the position of a scale; measuring the initial position of the reflected light spot on the scale;
3) then, applying a load on the loading rod, and measuring the position of the reflected light spot on the scale to obtain the displacement delta x of the light spot;
or applying loads on the loading rod for multiple times, wherein the magnitude of the loads applied for multiple times is an arithmetic progression, and the magnitude of the loads applied for two adjacent times is the same as the magnitude of the loads applied for the first time; and measuring the position of the light spot after each load application; then recording the measurement result of each time in a coordinate system taking the measurement times as an x axis and the position of the light spot as a y axis, performing linear fitting on points in the coordinate system to obtain a fitted straight line, and solving the slope of the fitted straight line to obtain the displacement delta x of the light spot under the first applied load;
4) and calculating the torsion angle phi of the sample under the first applied load according to the displacement delta x of the light spot, and further calculating to obtain the shear modulus of the material.
CN202110799819.9A 2021-07-15 2021-07-15 Device and method for measuring shear modulus of material Pending CN113514346A (en)

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Cited By (2)

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Publication number Priority date Publication date Assignee Title
CN116202886A (en) * 2023-04-21 2023-06-02 四川职业技术学院 Detection device and detection method for shear modulus of metal material
CN117571506A (en) * 2024-01-15 2024-02-20 西南交通大学 Shear modulus measuring device and method based on Michelson equal-thickness interference

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