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Eine verallgemeinerte Darstellung inelastischer Deformationsgesetze zur Erleichterung der numerischen Lösung von Anfangs‐Randwertproblemen
Author(s) -
Bergander H.
Publication year - 1978
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.19780581104
Subject(s) - mathematics , connection (principal bundle) , boundary value problem , elasticity (physics) , mathematical analysis , physics , thermodynamics , geometry
It is demonstrated that the connection between stress and strain can be presented in a united form for material classes of most various kinds. This form corresponds to a form of a linear elasticity law with additional strains for the increments of stress and strain. The coefficients of law depend on stress strain state and internal parameters. The number of parameters is differently great for various material states. This formulation is very advantageous for a numerical solution of boundary‐value problems with initial conditions of which are worked out the general aspects.