NUMERICAL IMPLEMENTATION OF PLASTICITY MODEL FOR COHESIVE SOILS

A numerical implementation of the "bounding surface plasticity" model for cohesive soils is described. An adaptive multistep integration procedure is used in conjunction with local iteration and radial return. Emphasis is placed on the development of a robust algorithm. The incorporation of the material model into finite element codes for stress-consolidation problems in geotechnical engineering is described. Example analyses are given for one element problem, an idealized footing problem and two centrifugal simulations of field problems.

[1]  L. Herrmann.  Elasticity Equations for Incompressible and Nearly Incompressible Materials by a Variational Theorem , 1965 .

[2]  Sergio Idelsohn,et al.  Computational strategies for the solution of large nonlinear problems via quasi-newton methods , 1981 .

[3]  A. Schofield,et al.  Critical State Soil Mechanics , 1968 .

[4]  E. Wilson,et al.  FINITE-ELEMENT ANALYSIS OF SEEPAGE IN ELASTIC MEDIA , 1969 .

[5]  E. P. Popov,et al.  Accuracy and stability of integration algorithms for elastoplastic constitutive relations , 1985 .

[6]  John T. Christian,et al.  PLANE STRAIN CONSOLIDATION BY FINITE ELEMENTS , 1970 .

[7]  Leonard R. Herrmann,et al.  Bounding surface plasticity. II: application to isotropic cohesive soils , 1986 .

[8]  Yannis F. Dafalias,et al.  BOUNDING SURFACE PLASTICITY, I: MATHEMATICAL FOUNDATION AND HYPOPLASTICITY , 1986 .

[9]  R. D. Krieg,et al.  Accuracies of Numerical Solution Methods for the Elastic-Perfectly Plastic Model , 1977 .

[10]  Chandrakant S. Desai,et al.  Consolidation analysis of layered anisotropic foundations , 1977 .

[11]  L R Herrmann,et al.  User's Manual for SAC-3: A Three-Dimensional Nonlinear, Time Dependent Soil Analysis Code Using the Bounding Surface Plasticity Model. , 1983 .

[12]  T. Hughes.  Numerical Implementation of Constitutive Models: Rate-Independent Deviatoric Plasticity , 1984 .

[13]  T. M. Williams,et al.  Practical Methods of Optimization. Vol. 1: Unconstrained Optimization , 1980 .

[14]  R. Cook,et al.  Concepts and Applications of Finite Element Analysis , 1974 .

[15]  H. Keller,et al.  Analysis of Numerical Methods , 1969 .

[16]  M. Powell,et al.  On the Estimation of Sparse Jacobian Matrices , 1974 .

[17]  D. A. Sangrey,et al.  THE EFFECTIVE STRESS RESPONSE OF A SATURATED CLAY SOIL TO REPEATED LOADING , 1969 .

[18]  E. Wilson,et al.  Flow of compressible fluid in porous elastic media , 1973 .

[19]  J. Z. Zhu,et al.  The finite element method , 1977 .