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Patch recovery based on complementary energy
Author(s) -
Ubertini F.
Publication year - 2004
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.924
Subject(s) - compatibility (geochemistry) , simple (philosophy) , computer science , mathematical optimization , set (abstract data type) , mathematics , structural engineering , engineering , philosophy , epistemology , chemical engineering , programming language
In this paper a new stress recovery procedure is presented. The formulation is very simple and based on improving stresses by enforcing compatibility over local patches of elements. This is obtained by minimizing the complementary energy, properly defined for the patch thought as a separate system, among an assumed set of equilibrated stress fields. The resultant implementation is simple, cost effective and numerically stable. Several numerical tests evidence an excellent performance which promises a wide applicability of the new procedure. Copyright © 2004 John Wiley & Sons, Ltd.