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On the well-posedness of the equilibrium problem for linear elasticity in unbounded regions

✍ Scribed by Giovanni P. Galdi; Salvatore Rionero

Publisher
Springer Netherlands
Year
1980
Tongue
English
Weight
331 KB
Volume
10
Category
Article
ISSN
0374-3535

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✦ Synopsis

In this paper we establish some continuous dependence and uniqueness theorems for equilibrium solutions of the equations of general anisotropic linear elasticity in exterior domains. The method we employ is that of the weight function which we introduced in previous papers. However, this is the first example where the method is applied to a static problem. The above theorems are obtained by allowing the strain to be unbounded at large spatial distances. In some cases, no growth condition is assumed. Moreover, the displacement and the elasticities are also possibly allowed to grow.

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