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A functional type a posteriori error analysis for the Ramberg‐Osgood model
Author(s) -
Bildhauer M.,
Fuchs M.,
Repin S.
Publication year - 2007
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.200710350
Subject(s) - a priori and a posteriori , type (biology) , cauchy stress tensor , nonlinear system , mathematics , tensor (intrinsic definition) , space (punctuation) , mathematical analysis , function (biology) , geometry , physics , computer science , biology , operating system , ecology , philosophy , epistemology , quantum mechanics , evolutionary biology
We discuss the weak form of the Ramberg‐Osgood equations (also known as the Norton‐Hoff model) for nonlinear elastic materials and prove functional type a posteriori error estimates for the difference of the exact stress tensor and any tensor from the admissible function space. These equations are of great importance since they can be used as an approximation for elastic‐perfectly plastic Hencky materials.