Material stability restrictions on the response function in finite elasticity

✍ Scribed by Paolo Podio Guidugli; Fabio Selleri

• Publisher: Springer Netherlands
• Year: 1974
• Tongue: English
• Weight: 445 KB
• Volume: 4
• Category: Article
• ISSN: 0374-3535
• DOI: 10.1007/bf00045663

✦ Synopsis

This paper is concerned with the problem of finding a priori constitutive inequalities in finite elasticity. It is required here that the response function of a general elastic material be such as to render a strong localization of Hadamard's inequality valid in every infinitesimal deformation superimposed on every finite deformation of a certain class. The consequences of this assumption are illustrated by means of some examples.

R E S U M E

On 6tudie le probl6me de retrouver des in6galit6s additionnelles en 61asticit6 non lin6aire. On 6xige ici que la loi de comportement d'un mat6riau 61astique g6n6ral soit telle qu'une localization forte de l'in6galit6 d'Hadamard soit valable pour toute d6formation infinit6simale appliqu~e ~ n'importe quelle d6formation finie d'une certaine classe. On montre les restrictions que cette in6galit6 pose sur la loi de comportement en utilisant quelques exemples.