In many problems of interest the (Cauchy) surface traction is given as a function of position on the deformed surface. A class of loadings sufficiently general to include these problems is considered, and within the context of the traction problem in finite elasticity, a number of uniqueness results
On the physical meaning of an uniqueness condition in finite elasticity
โ Scribed by M. Aron
- Publisher
- Springer Netherlands
- Year
- 1978
- Tongue
- English
- Weight
- 200 KB
- Volume
- 8
- Category
- Article
- ISSN
- 0374-3535
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โฆ Synopsis
With the help of the concept of work done by the deformation of an elastic body an uniqueness condition in nonlinear elasticity is interpreted. A work theorem is reformulated.
RESUME
A l'aide de concept de travail donn6 par la deformation d'un materiaux 61astique on discute la signification physique d'une condition d'unicit6 en 61asticit6 non lin6aire. Une thforbme de travail est reformul6. * A Cartesian coordinate system is used in this paper. A comma, followed by a letter, denotes partial differentiation, with capital letters signifying differentiation with respect to the coordinates X A and small letters the coordinates x i. All indices take the values 1, 2, 3 and the convention of summing over repeated indices is adopted.
๐ SIMILAR VOLUMES
By means of a weighted form of Garding's inequality, we prove a uniqueness theorem for the initial boundary value problem of finite elastodynamics in unbounded domains. ## Sommario Mediante un'opportuna forma pesata della disuguaglianza di Garding, che ricaviamo preliminarmente, dimostriamo un te