CN106996970B - A kind of soil shear strength calculation method based on unsaturated soil nonlinear strength envelope shell model - Google Patents
A kind of soil shear strength calculation method based on unsaturated soil nonlinear strength envelope shell model Download PDFInfo
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Abstract
A kind of soil shear strength calculation method based on unsaturated soil nonlinear strength envelope shell model, technical field is soil mechanics.Currently, the widely used shearing strength model in unsaturated soils theory field is that the Mohr-Coulomb that Fredlund is proposed destroys envelope areal model, but the application range of the areal model is smaller, it is larger that corresponding soil shear strength calculates error.Technical solution of the present invention main points are as follows: envelope shell (4) and " τ axis (3) and (σ-ua) plane where axis (1) " and intersection meet relational expression: τ=c0[1+(σ‑ua)/σt]1/m, c0For soil body origin cohesion；σtFor soil body tensile strength；M is the parameter for controlling strength envelope curvature.Envelope shell is arbitrarily parallel to " τ axis (3) and (u on (4)a‑uw) plane where axis (2) " and projection of the curve in the face meet:The present invention can be used to more accurately calculate soil shear strength.
Description
Technical field
The present invention relates to soil mechanics fields, propose a kind of soil body based on unsaturated soil nonlinear strength envelope shell model
Shear Strength Calculation method.
Background technique
Currently, the widely used shearing strength model in unsaturated soils theory field is the Mohr- that Fredlund is proposed
Coulomb destroys envelope areal model, more and more researches show that, when matric suction is less than air-entry value, matric suction is closed
Join angle of frictionWith effective angle of inner frictionIt is roughly equal；But when matric suction incrementally increases,It will be in non-linear reduction.This
Sample, the application of the areal model of Fredlund just receive certain limitation, and corresponding soil shear strength, which calculates, will also occur
Large error.
Summary of the invention
In order to solve the above technical problem, the present invention provides a kind of based on unsaturated soil nonlinear strength envelope shell model
Soil shear strength calculation method can more accurately calculate soil shear strength, have wider array of applicability.
The technical solution used to solve the technical problems of the present invention is that: one kind being based on unsaturated soil nonlinear strength envelope shell
The soil shear strength calculation method of model, the model include effect normal stress (σ-ua) axis (1), matric suction (ua-uw)
(σ is normal stress, u for axis (2) and shear stress τ axis (3)aFor pore air pressure, uwFor pore water pressure)；Unsaturated soil it is non-thread
Property intensity envelope shell (4) is fallen in the first octant of stress-space, and minimum value is located on τ axis, it is characterised in that: shearing strength edge
(σ-ua) axis (1) and (ua-uw) axis (2) is incremented by Nonlinear Monotone and speedup monotone decreasing.
Preferably, the intersection of envelope shell (4) and τ axis (3) and (σ-ua) axis (1) place plane meets relational expression: τ=c0[1
+(σ-ua)/σt]1/m, c0For soil body origin cohesion；σtFor soil body tensile strength；M is the parameter for controlling strength envelope curvature.
Preferably, τ axis (3) and (u are arbitrarily parallel on envelope shell (4)a-uw) plane where axis (2) curve in the face
Projection meets:
For the inclination angle of the increase of shear strength because of caused by matric suction increase, a, b, c are soil-water characteristic curve
Fredlund-Xing model curve fitting parameter, θsAnd θrRespectively saturated volume water content and residual volume water content,For
Soil body effective angle of inner friction.
The beneficial effects of the present invention are: introducing nonlinear strength envelope shell model in unsaturated soil field is to unsaturated soil
The important supplement of Mechanics Calculation and perfect.Nonlinear strength envelope shell model can preferably reflect the soil body actual conditions and
Engineering design can be made to be partial to safety, which has a good application prospect in geotechnical engineering and promotional value.
Detailed description of the invention
Present invention will be further explained below with reference to the attached drawings and examples.
Fig. 1 is the non-linear envelope shell model of unsaturated soil；
Specific embodiment
In order to make the object, technical scheme and advantages of the embodiment of the invention clearer, below in conjunction with the embodiment of the present invention
In attached drawing, technical scheme in the embodiment of the invention is clearly and completely described, it is clear that described embodiment is
A part of the embodiments of the present invention, instead of all the embodiments.Based on the embodiments of the present invention, ordinary skill people
Member's every other embodiment obtained without creative efforts, belongs to protection scope of the present invention.
As shown in Figure 1, the three axes in stress-space respectively indicate: effective normal stress (σ-ua) axis (1), matrix suction
Power (ua-uw) axis (2) and shear stress τ axis (3), wherein σ is normal stress, uaFor pore air pressure, uwFor pore water pressure.
Nonlinear strength envelope shell (4) is fallen in the first octant of stress-space, and minimum value is located on τ axis, and shearing strength is along (σ-ua)
Axis (1) and (ua-uw) axis (2) is incremented by Nonlinear Monotone and speedup monotone decreasing.
Envelope shell (4) and " τ axis (3) and (σ-ua) plane where axis (1) " and intersection meet relational expression: τ=c0[1+(σ-
ua)/σt]1/m, c0For soil body origin cohesion；σtFor soil body tensile strength；M is the parameter for controlling strength envelope curvature.Envelope shell
(4) " τ axis (3) and (u are arbitrarily parallel ona-uw) plane where axis (2) " and projection of the curve in the face meet:
For the inclination angle of the increase of shear strength because of caused by matric suction increase, a, b, c are soil-water characteristic curve
Fredlund-Xing model curve fitting parameter, θsAnd θrRespectively saturated volume water content and residual volume water content,For
Soil body effective angle of inner friction.
More accurate unsaturated soil slopes can be calculated on the basis of foregoing model.
Claims (1)
1. a kind of soil shear strength calculation method based on unsaturated soil nonlinear strength envelope shell model, the model include
Effective normal stress (σ-ua) axis (1), matric suction (ua-uw) axis (2) and shear stress τ axis (3), wherein σ is normal stress, ua
For pore air pressure, uwFor pore water pressure；The nonlinear strength envelope shell (4) of unsaturated soil falls in the first hexagram of stress-space
In limit, minimum value is located on τ axis, it is characterised in that: shearing strength is along (σ-ua) axis (1) and (ua-uw) axis (2) is in non-linear
Monotonic increase and speedup monotone decreasing, envelope shell (4) and τ axis (3) and (σ-ua) intersection of plane where axis (1) meets relationship
Formula: τ=c0[1+(σ-ua)/σt]1/m, c0For soil body origin cohesion；σtFor soil body tensile strength；M is control strength envelope curvature
Parameter, be arbitrarily parallel to τ axis (3) and (u on envelope shell (4)a-uw) plane where axis (2) projection of the curve in the face it is full
Foot:
Wherein,For the inclination angle of the increase of shear strength because of caused by matric suction increase, a, b, c are soil-water characteristic curve
Fredlund-Xing model curve fitting parameter, θsAnd θrRespectively saturated volume water content and residual volume water content,For
Soil body effective angle of inner friction；On the basis of above-mentioned model, more accurate unsaturated soil slopes can be calculated.
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Families Citing this family (3)
| Publication number | Priority date | Publication date | Assignee | Title |
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| CN108169458B (en) * | 2017-12-27 | 2020-07-31 | 辽宁工程技术大学 | Device and method for measuring three-dimensional stress state of soil |
| CN109211688B (en) * | 2018-09-19 | 2021-03-26 | 华北水利水电大学 | Method for rapidly judging whether unsaturated soil is damaged or not after stress |
| CN114047100B (en) * | 2021-10-20 | 2023-12-15 | 长沙理工大学 | Test device for measuring capillary water elevation and capillary water velocity of porous medium |
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| CN102305845A (en) * | 2011-07-28 | 2012-01-04 | 河北建设勘察研究院有限公司 | Method for rapidly detecting area unsaturated soil shearing strength |
| KR20120068103A (en) * | 2010-12-14 | 2012-06-27 | 연세대학교 산학협력단 | Method for tri-axial compression test of unsaturated soils and intermediate soils |
| CN104091068A (en) * | 2014-07-07 | 2014-10-08 | 长安大学 | Method for establishing unified strength theory of unsaturated soil |
| CN105467098A (en) * | 2015-11-16 | 2016-04-06 | 天津城建大学 | Correction method for unsaturated soil soil-water characteristic curve based on axis translation technique test |
| CN105928803A (en) * | 2016-07-15 | 2016-09-07 | 中南大学 | Soil shear strength parameter in-situ test apparatus and test method thereof |
| CN106289979A (en) * | 2016-09-09 | 2017-01-04 | 中国地质大学（武汉） | Unsaturated soil tensile strength test device and method of testing |
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Patent Citations (6)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| KR20120068103A (en) * | 2010-12-14 | 2012-06-27 | 연세대학교 산학협력단 | Method for tri-axial compression test of unsaturated soils and intermediate soils |
| CN102305845A (en) * | 2011-07-28 | 2012-01-04 | 河北建设勘察研究院有限公司 | Method for rapidly detecting area unsaturated soil shearing strength |
| CN104091068A (en) * | 2014-07-07 | 2014-10-08 | 长安大学 | Method for establishing unified strength theory of unsaturated soil |
| CN105467098A (en) * | 2015-11-16 | 2016-04-06 | 天津城建大学 | Correction method for unsaturated soil soil-water characteristic curve based on axis translation technique test |
| CN105928803A (en) * | 2016-07-15 | 2016-09-07 | 中南大学 | Soil shear strength parameter in-situ test apparatus and test method thereof |
| CN106289979A (en) * | 2016-09-09 | 2017-01-04 | 中国地质大学（武汉） | Unsaturated soil tensile strength test device and method of testing |
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