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Functional spaces for Norton-Hoff materials. (English) Zbl 0616.73010

In this paper the authors present and study some functional spaces which are a good framework for the mathematical analysis of some continuum mechanical problems: the Norton-Hoff materials problem. The authors give some duality, density and trace theorems. They give a Korn type inequality.
Even if the most important part of the results given here are generalization of existent ones, some novel results are presented in this paper. The paper ends without any application of the above mathematical results to the formulation of a concrete mechanical problem.
Reviewer: T.Hadhri

MSC:

74A99 Generalities, axiomatics, foundations of continuum mechanics of solids
46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
74C99 Plastic materials, materials of stress-rate and internal-variable type
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