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- W2143262302 abstract "A method is developed allowing to establish irreducible representations for anisotropic non-polynomial constitutive equations. The case when a constitutive equation takes the form of an explicit relation between two symmetric second order tensoers is considered in detail. Transitions from the most general anisotropy to particular cases of anisotropy are established. As an example the transition from the general non linear forms to the case of classical linear elasticity is given. It appears that for the considered case of tensor functions the irreducible representations for the non-polynomial case are similar to those concerning a polynomial function. This similarity disappears for functions involving a larger number of arguments. Es wird eine Methode entwickelt, die es gestattet, nichtreduzierbare Darstellungen für anisotrope Stoffgesetze zu formulieren, welche keine Polynome darstellen. Im Detail wird der Fall betrachtet, daß das Stoffgesetz in Form einer expliziten Relation zwischen zwei symmetrischen Tensoren zweiter Stufe vorliegt. Die Übergänge vom allgemeinsten Fall zu Sonderfällen der Anisotropie werden aufgezeigt. Als Beispiel wird der Übergang von den allgemeinen nichtlinearen Stoffgesetzen zu den klassischen linearen Elastizitätsgleichungen betrachtet. Es erscheint, daß für den zugrundegelegten Fall von Tensorfunktionen die nichtreduzierbaren Darstellungen von Stoffgesetzen, die keine Polynomfunktionen darstellen, denen der Polynom-stoffgesetze ähnlich sind. Für Funktionen mit einer größeren Anzahl von Argumenten verschwinden diese Ähnlichkeiten jedoch." @default.
- W2143262302 created "2016-06-24" @default.
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- W2143262302 date "1979-01-01" @default.
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- W2143262302 title "A Simple Derivation of Representations for Non-Polynomial Constitutive Equations in Some Cases of Anisotropy" @default.
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- W2143262302 doi "https://doi.org/10.1002/zamm.19790590403" @default.
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