Summary
In this paper we examine the restrictions in the form of constitutive functions of relativistic continuum physics resulting from the requirement of form-invariance under the Lorentz group. These functions are assumed to depend on the deformation gradient and a number of vectors. It is shown that the restricted forms are the relativistic extensions of similar expressions of classical continuum physics derived byRivlin.
Riassunto
In questo articolo si esaminano le restrizioni alla forma delle funzioni costitutive della fisica del continuo relativistico risultanti dalla condizione di invarianza rispetto alla forma nell’ambito del gruppo di Lorentz. Si suppone che queste funzioni dipendano dal gradiente di deformazione e da un certo numero di vettori. Si dimostra che le forme ristrette sono le estensioni relativistiche di espressioni similari della fisica classica del continuo dedotta da Rivlin.
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The results of this paper were obtained in the course of research sonsored by the National Science Foundation under Grant GR-00413.
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Lianis, G. The formulation of constitutive equations in continuum relativistic physics. Nuovo Cimento B (1965-1970) 66, 239–259 (1970). https://doi.org/10.1007/BF02710262
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DOI: https://doi.org/10.1007/BF02710262