Premium
UNDRAINED CAVITY EXPANSIONS IN CRITICAL STATE SOILS
Author(s) -
COLLINS I. F.,
YU H. S.
Publication year - 1996
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/(sici)1096-9853(199607)20:7<489::aid-nag829>3.0.co;2-v
Subject(s) - finite element method , hardening (computing) , critical state soil mechanics , soil water , geotechnical engineering , boundary value problem , softening , mechanics , displacement (psychology) , geology , mathematics , materials science , structural engineering , engineering , mathematical analysis , physics , constitutive equation , soil science , composite material , psychology , layer (electronics) , psychotherapist
Boundary value problems for hardening/softening soils, such as Cam‐Clay, usually require the extensive use of finite element methods. Here analytical and semi‐analytical solutions for the undrained expansion of cylindrical and spherical cavities in critical state soils are presented. The strain is finite, the initial cavity radius is arbitrary and the procedure applicable to any isotropically hardening materials. In all cases only simple quadratures are involved, and in the case of the original Cam‐Clay a complete analytical solution can be found. In addition to providing models of the behaviour of displacement piles and pressuremeters these results also provide valuable benchmark solutions for verifying various numerical methods.