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A three‐invariant smooth cap model with mixed hardening
Author(s) -
Schwer Leonard E.,
Murray Yvonne D.
Publication year - 1994
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.1610181002
Subject(s) - invariant (physics) , hardening (computing) , multiplicative function , algorithm , mathematics , computer science , mathematical analysis , materials science , composite material , layer (electronics) , mathematical physics
A cap model is presented that uses a multiplicative formulation to define a smooth (continuous derivative) failure surface that includes the third stress invariant. This formulation offers several advantages over previous cap model formulations: elimination of ‘corner’ coding, resulting in a numerical algorithm suitable for vectorization; a three stress invariant implementation that is easily specialized to classical failure surfaces or generalized to represent observed material response; and a framework for easily implementing additional model features such as kinematic hardening as demonstrated.