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A large strain theory and its application in the analysis of the cone penetration mechanism
Author(s) -
Kiousis Panos D.,
Voyiadjis George Z.,
Tumay Mehmet T.
Publication year - 1988
Publication title -
international journal for numerical and analytical methods in geomechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.419
H-Index - 91
eISSN - 1096-9853
pISSN - 0363-9061
DOI - 10.1002/nag.1610120104
Subject(s) - finite element method , lagrangian , penetration (warfare) , boundary value problem , constitutive equation , mathematical analysis , mathematics , simple (philosophy) , computer science , structural engineering , engineering , operations research , philosophy , epistemology
A computational method, based on an advanced elasto‐plastic large strain formulation, well suited for the analysis of the cone penetration problem, is presented. A new approach of finite strain elasto‐plastic analysis is employed. 13 The basic (non‐rate) constitutive relations are developed in a spatial reference space to preserve their physical significance. They are subsequently transformed in Lagrangian co‐ordinates, and through simple time differentiation, their rate equations are introduced. The method is computationally implemented with the finite element method and special provisions are taken to allow for the moving boundary conditions of the problem.