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The effect of a thin inclusion of high rigidity in an elastic body (1980)

Caillerie, D. ; Nedelec, J. C.

Chichester, West Sussex : Wiley-Blackwell

Mathematical Methods in the Applied Sciences 2 (1980), S. 251-270

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ISSN: 0170-4214

Keywords: Mathematics and Statistics ; Applied Mathematics

Source: Wiley InterScience Backfile Collection 1832-2000

Topics: Mathematics

Notes: We study an elastic body comprising an inclusion whose thickness is 2∊ and for which Lamé's constants are λ∊ and μ. We are interested in the limit behaviour of the inclusion, when ∊ → 0 and μ∊ → ∊; that is when the inclusion becomes thiner and more rigid. Different behaviours are possible, according to the rate at which μ∊ converges to infinity; the limit inclusion may “vanish” if it is not very rigid, but also it may be entirely solid.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1002/mma.1670020302

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