Objectivity of the Constitutive Equation for a Material with Memory
The restriction imposed by objectivity on the constitutive functional for a material with memory is well-known. However, the derivation usually given is open to certain objections. A more satisfactory proof is given in this note.
KeywordsConstitutive Equation Cauchy Stress Orthogonal Matrix Stress Matrix Material Frame
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- Green, G. (1938). On the laws of reflexion and refraction of light at the common surface of two non-crystallized media. Trans. Camb. Phil. Soc. 7, 1–24.Google Scholar
- Rivlin, R. S. (1970). An introduction to non-linear continuum mechanics. In Son-Linear Continuum Theories in Mechanics and Physics and Their Applications (Edited by R. S. Rivlin), pp. 151–309. Edizioni Cremonese, Rome.Google Scholar
- Truesdell, C. (1960). Principles of continuum mechanics. Socony Mobil Lectures in Pure and Applied Science, No. 5.Google Scholar