A Note on Uniqueness in Linear Elastostatics
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Abstract
We obtain a uniqueness theorem for linear elastostatics, for a homogeneous isotropic body, under the condition of strong ellipticity, in the case of “mixed–mixed” boundary conditions. The theorem applies to bodies of restricted local concavity and convexity. Some example domains are illustrated.
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Research context
OpenAlex topics: Advanced Mathematical Modeling in Engineering · Contact Mechanics and Variational Inequalities · Composite Material Mechanics
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References (3)
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1. Edelstein, W.S., Fosdick, R.L.: A note on non-uniqueness in linear elasticity theory. J. Appl. Math. Phys. (ZAMP) 19, 906–912 (1968)10.1007/BF01602270 ↗
2. Knops, R.J., Payne, L.E.: Uniqueness Theorems in Linear Elasticity. Springer, Berlin (1971)10.1007/978-3-642-65101-4 ↗
3. Kreyszig, E.: Differential Geometry. Dover, New York (1991)