Definitions of standard stress and standard heat flux, in simple bodies, treated according to Mach and Painlevé
Adriano Montanaro (1994)
Rendiconti del Seminario Matematico della Università di Padova
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Adriano Montanaro (1994)
Rendiconti del Seminario Matematico della Università di Padova
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Bruno Carbonaro, Remigio Russo (1991)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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N. S. Wilkes (1979)
Stochastica
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In 1964, Green and Rivlin [1, 2] proposed two non-standard theories of continua. Both papers concerned non-simple materials: the first considered deformation gradients of higher order than the first as dependent variables; and the second, which generalised the first, treated materials whose kinematic state was not completely detemined by the deformation function, but was also dependent upon some multipolar deformation functions. In both theories the existence of higher order stresses...
Mircea Sofonea (1992)
Annales scientifiques de l'Université de Clermont. Mathématiques
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F. Martínez, R. Quintanilla (1995)
Collectanea Mathematica
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In this paper we study the linear thermodynamical problem of mixtures of thermoelastic solids. We use some results of the semigroup theory to obtain an existence theorem for the initial value problem with homogeneous Dirichlet boundary conditions. Continuous dependence of solutions upon the initial data and body forces is also established. We finish with a study of the asymptotic behavior of solutions of the homogeneous problem.
Victor Mizel (1992)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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The mistaken notion that consistency with fading memory should require uniqueness is refuted by citation of the sources. Indeed, insistence on uniqueness would exclude many examples from non-linear elasticity and would exclude materials capable of exhibiting hysteresis.
Wang, Jun, Slattery, Susan Palmer (2002)
International Journal of Mathematics and Mathematical Sciences
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