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Thermal Effects in Plasticity. Part II: Uniqueness and Applications
Author(s) -
Raniecki B.,
Sawczuk A.
Publication year - 1975
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.19750550703
Subject(s) - shakedown , uniqueness , bounding overwatch , plasticity , consistency (knowledge bases) , boundary value problem , mathematics , coupling (piping) , calculus (dental) , mathematical analysis , materials science , thermodynamics , computer science , physics , geometry , finite element method , medicine , dentistry , artificial intelligence , metallurgy
The constitutive relations of the theory proposed in the first part of the paper are analyzed as to their consistency. The inversion of the obtained rate relations and the uniqueness of the solution to boundary value problems in coupled thermoplasticity are discussed. Simplified rate relations are derived on neglecting certain couplings. The significance of coupling effects in the stability analysis of thermo‐plastic deformations is outlined. The response of structural elements to thermal and loading cycles is described and the bounding theorems of the shakedown analysis are recalled.