Thermomechanical response of solids at high strains—Natural approach

• Published in: Computer methods in applied mechanics and engineering Vol. 32; no. 1; pp. 3 - 57
• Main Authors: Argyris, J.H., Doltsinis, J.St, Pimenta, P.M., Wüstenberg, H.
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.09.1982
• ISSN: 0045-7825; 1879-2138
• DOI: 10.1016/0045-7825(82)90067-6

The paper develops in pursuance of [4]the theoretical framework appertaining to coupled thermomechanical deformations of solids, subject to large as well as inelastic deformations. The essential feature of the analysis is a consistent natural formulation which encompasses also all thermodynamic aspects. On the other hand, it must be admitted that current concepts on mechanical constitutive assumptions [5, 6]are not sufficiently sophisticated to permit a precise generalisation for the purpose of incorporating thermomechanical effects and delivering a fully compatible theory of the coupled problem. Uniqueness and bifurcation of the solutions as well as stable postcritical deformation paths are also considered in this account. Furthermore, algorithms for the solution of the nonlinear algebraic equations representing the discretised problem and, in particular, quasi-Newton techniques are discussed. The paper concludes with a number of applications of technical relevance.