Elastoplastic Analysis of Ellipsoidal Hole Expansion in Unsaturated Loess

DANG Xinghai; ZHOU Peng; CHAO Xin; GUO Qiming; WU Runlin

doi:10.21656/1000-0887.400186

Volume 41 Issue 9

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Article Navigation > Applied Mathematics and Mechanics > 2020 > 41(9): 994-1010

DANG Xinghai, ZHOU Peng, CHAO Xin, GUO Qiming, WU Runlin. Elastoplastic Analysis of Ellipsoidal Hole Expansion in Unsaturated Loess[J]. Applied Mathematics and Mechanics, 2020, 41(9): 994-1010. doi: 10.21656/1000-0887.400186

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Elastoplastic Analysis of Ellipsoidal Hole Expansion in Unsaturated Loess

doi: 10.21656/1000-0887.400186

¹Western Engineering Research Center of Disaster Mitigation in Civil Engineering of Ministry of Education, Lanzhou 730050, P.R.China;²Key Laboratory of Disaster Prevention and Mitigation in Civil Engineering of Gansu Province, Lanzhou University of Technology, Lanzhou 730050, P.R.China

Funds: The National Natural Science Foundation of China（51468040）

Received Date: 2019-06-12
Rev Recd Date: 2020-01-07
Publish Date: 2020-09-01

Abstract

Abstract

In the unified strength criterion for unsaturated soils, the formulae of cohesion of unsaturated undisturbed loess and matrix suction were introduced. The method of changing hole pattern coefficient k was combined with boundary conditions, equilibrium equations and stress compatibility equations to derive stress and strain solutions under drainage and undrained conditions. Analytical solutions of the stress and strain fields, the plastic zone radii and the limit hole expansion pressure in the elastic and plastic regions around the ellipsoid hole in the plane, and the influences of the matrix suction, the strength criterion and the dilatancy on the analytical solutions were discussed with the MATLAB software. The results show that, the effective stresses of unsaturated loess under different drainage conditions will increase with hole pattern coefficient k and the matrix suction; when the parameters are constant, the effective strain under the drainage condition will increase with dilatation coefficient h and even more with the matrix suction; with the same condition, the effective stress and strain under the double shear stress strength criterion for b=1 will be larger than those under the MC strength criterion for b=0.
- unsaturated loess,
- unified strength criterion,
- ellipsoidal hole expansion,
- drainage condition,
- parameter analysis

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References(21)

References

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