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On the application of multi‐step integration methods to infinitesimal elastoplasticity
Author(s) -
Papadopoulos Panayiotis,
Taylor Robert L.
Publication year - 1994
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620371810
Subject(s) - infinitesimal , computer science , mathematics , algorithm , calculus (dental) , mathematical analysis , medicine , dentistry
Abstract This article proposes an implicit algorithm for time integration of the differential/algebraic equations of small‐deformation elastoplasticity in strain space. The algorithm employs a two‐step backwards differentiation formula and a standard operator‐split procedure. Second‐order accuracy and non‐linear stability are established under appropriate constitutive restrictions. The algorithm is implemented for the model of J 2 ‐plasticity and numerical simulations are conducted that illustrate its applicability and accuracy.