A uniqueness theorem in the theory of Cosserat surface

✍ Scribed by P. M. Naghdi; J. A. Trapp

• Publisher: Springer Netherlands
• Year: 1972
• Tongue: English
• Weight: 667 KB
• Volume: 2
• Category: Article
• ISSN: 0374-3535
• DOI: 10.1007/bf00045690

✦ Synopsis

Within the scope of the non-isothermal theory of an elastic Cosserat surface and for a system of linear equations characterizing the initial mixed boundary-value problems of thermoelastic shells, a uniqueness theorem is obtained without the use of definiteness assumption for the free energy. The theorem holds for nonhomogeneous and anisotropic shells undergoing small motions (and small temperature change) superposed on a large deformation.

R15SUME

Dans le cadre de la th6orie d'une surface 61astique de Cosserat et pour un syst~me d'6quations lin6aires d6crivant les probl6mes h conditions initiales et ~ conditions aux fronti6res mixtes de coques thermo61astiques, on obtient un th6or6me d'unicit6 sans faire appel ~t une hypoth6se de d6finition pour l'6nergie libre. Le th6or6me est valable pour des coques non-homog6nes et anisotropes soumises h de petits mouvements (et petits changements de temp6rature) superpos6s ~ une grande d6formation.

~) The system of equations used in [5] are more general than those for an elastic Cosserat surface and involves two temperature functions and two energy equations.