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A general converse theorem for mean-value theorems in linear elasticity

✍ Scribed by Dorina Mitrea; Heather Rosenblatt

Publisher
John Wiley and Sons
Year
2006
Tongue
English
Weight
121 KB
Volume
29
Category
Article
ISSN
0170-4214

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✦ Synopsis

We prove a rather general mean-value formula in the theory of elasticity, which expresses the value of the displacement at the centre of a sphere in terms of certain combinations of integral averages over the sphere itself of the traction and the displacement. We also establish the corresponding converse to this mean-value formula under minimal smoothness assumptions on the displacement. Copyright ? 2006 John Wiley & Sons, Ltd.

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