Justification of two dimensional model of shallow shells using gamma convergence

J. Raja and N. Sabu ()
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J. Raja: Indian Institute of Space Science and Technology
N. Sabu: Indian Institute of Space Science and Technology

Indian Journal of Pure and Applied Mathematics, 2013, vol. 44, issue 3, 277-295

Abstract: Abstract In this paper we derive the two dimensional model of elastic shallow shell using gamma convergence. We consider thin elastic shallow shells of “very small” thickness and we show that the sequence of functions minimizing the energy associated with the three-dimensional elastic shallow shells converges to the function which minimizes the energy associated with the two dimensional elastic shallow shell as the thickness of the shell goes to zero.

Keywords: Shallow shell; gamma convergence; elasticity (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/s13226-013-0014-y

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