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<p>We consider a family of linearly viscoelastic elliptic membrane shells, all sharing the same middle surface and with their lateral face clamped. Under these conditions, when the thickness tends to zero, the solution of the three-dimensional problem converges to the solution of a two-dimensional reduced problem for a viscoelastic membrane shell. In this paper we provide error estimates for this convergence. The proof uses a corrector method.</p>

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Asymptotic analysis of linearly viscoelastic shells: error estimates in the membrane case

  • 期刊论文

  • 发表日期：

    2025年10月15日

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  • G. Castiñeira,
  • Á. Arós,
  • L. D. Venturato

摘要

We consider a family of linearly viscoelastic elliptic membrane shells, all sharing the same middle surface and with their lateral face clamped. Under these conditions, when the thickness tends to zero, the solution of the three-dimensional problem converges to the solution of a two-dimensional reduced problem for a viscoelastic membrane shell. In this paper we provide error estimates for this convergence. The proof uses a corrector method.