Premium
Computational aspects of incrementally objective algorithms for large deformation plasticity
Author(s) -
Fish Jacob,
Shek Kamlun
Publication year - 1999
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/(sici)1097-0207(19990228)44:6<839::aid-nme533>3.0.co;2-c
Subject(s) - tangent , context (archaeology) , projection (relational algebra) , deformation (meteorology) , computer science , algorithm , finite element method , kinematics , stiffness , plasticity , point (geometry) , material point method , matrix (chemical analysis) , tangent stiffness matrix , stiffness matrix , mathematical optimization , mathematics , geometry , structural engineering , engineering , geology , paleontology , oceanography , physics , materials science , classical mechanics , composite material , thermodynamics
A methodology for computationally efficient formulation of the tangent stiffness matrix consistent with incrementally objective algorithms for integrating finite deformation kinematics and with closest point projection algorithms for integrating material response is developed in the context of finite deformation plasticity. Numerical experiments illustrate an excellent performance of the proposed formulation in comparison with other algorithms. Copyright © 1999 John Wiley & Sons, Ltd.