* Correspondence to: B. Jeremic, Department of Civil and Environmental Engineering, University of California, Davis, CA 95616, U.S.A. E-mail: jeremic@ucdavis.edu Contract/grant sponsor: NASA; NSF; contract/grant number: NAS8-38779; EEC-9701568 Received 11 May 2000 Copyright 2001 John Wiley & Sons, Ltd. Revised 22 January 2001 INTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS Int. J. Numer. Anal. Meth. Geomech., 2001; 25:809 }840 (DOI: 10.1002/nag.155) Finite deformation analysis of geomaterials Boris Jeremic H *, Kenneth Runesson and Stein Sture Department of Civil and Environmental Engineering, University of California, Davis, CA 95616, U.S.A. Division of Solid Mechanics, Chalmers University of Technology, S-41296 Go ( teborg, Sweden Department of Civil, Environmental, and Architectural Engineering, University of Colorado, Boulder, CO 80309-0428, U.S.A. SUMMARY The mathematical structure and numerical analysis of classical small deformation elasto}plasticity is generally well established. However, development of large deformation elastic}plastic numerical formula- tion for dilatant, pressure sensitive material models is still a research area. In this paper we present development of the "nite element formulation and implementation for large deformation, elastic}plastic analysis of geomaterials. Our developments are based on the multiplicative decomposition of the deformation gradient into elastic and plastic parts. A consistent linearization of the right deformation tensor together with the Newton method at the constitutive and global levels leads toward an e$cient and robust numerical algorithm. The presented numerical formulation is capable of accurately modelling dilatant, pressure sensitive isotropic and anisotropic geomaterials subjected to large deformations. In particular, the formulation is capable of simulating the behaviour of geomaterials in which eigentriads of stress and strain do not coincide during the loading process. The algorithm is tested in conjunction with the novel hyperelasto}plastic model termed the B material model, which is a single surface (single yield surface, a$ne single ultimate surface and a$ne single potential surface) model for dilatant, pressure sensitive, hardening and softening geomaterials. It is speci"cally developed to model large deformation hyperelasto}plastic problems in geomechanics. We present an application of this formulation to numerical analysis of low con"nement tests on cohesionless granular soil specimens recently performed in a SPACEHAB module aboard the Space Shuttle during the STS-89 mission. We compare numerical modelling with test results and show the signi"cance of added con"nement by the thin hyperelastic latex membrane undergoing large stretching. Copyright 2001 John Wiley & Sons, Ltd. KEY WORDS: hyperelasto}plasticity; large deformations; geomaterials; "nite element analysis 1. BACKGROUND Theoretical as well as implementation issues in material non}linear "nite element analysis of solids and structures are increasingly becoming better understood for the case of in"nitesimal
Finite deformation analysis of geomaterials
Jun 23, 2023
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