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Smoothness of weak solutions of the Ramberg/Osgood equations on plane domains
Author(s) -
Bildhauer M.,
Fuchs M.
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.200610297
Subject(s) - smoothness , cauchy stress tensor , tensor (intrinsic definition) , plane stress , plane (geometry) , mathematical analysis , mathematics , infinitesimal strain theory , stress (linguistics) , classical mechanics , geometry , physics , finite element method , philosophy , thermodynamics , linguistics
We discuss the weak form of the Ramberg/Osgood equations (also known as the Norton/Hoff model) on two‐dimensional domains and prove continuity of the stress and the strain tensor. These equations are of great importance since they can be used as an approximation for elastic‐perfectly plastic Hencky materials.