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Derivation of the limit equations of elasticity theory on thin nets

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Abstract

A new approach is proposed to the study of plane problems of elasticity on rod junctures. This approach is based on so-called structural theorems and yields a fairly simple method of passing to the limit in the integral identity and thus obtaining the limit problem. In the case of nonlinear problems, the structural theorems make it possible to use variational methods like that of Γ-convergence of energy functionals.

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Authors
  1. V. V. Zhikov
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  2. S. E. Pastukhova
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Translated from Trudy Seminara imeni I. G. Petrovskogo, No. 25, pp. 55–97, 2005.

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Zhikov, V.V., Pastukhova, S.E. Derivation of the limit equations of elasticity theory on thin nets. J Math Sci 135, 2637–2665 (2006). https://doi.org/10.1007/s10958-006-0135-5

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  • DOI: https://doi.org/10.1007/s10958-006-0135-5

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