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

• G. Castiñeira ^[1] ; Á. Arós ^[2] ; L. D. Venturato ^[3]
  1. [1] Universidade de Santiago de Compostela

     Universidade de Santiago de Compostela

     Santiago de Compostela, España

     
  2. [2] Universidade da Coruña

     Universidade da Coruña

     A Coruña, España

     
  3. [3] Universidad Austral

     Universidad Austral

     Argentina

     

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• Localización: SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada, ISSN-e 2254-3902, ISSN 2254-3902, Vol. 83, Nº. 3, 2026, págs. 573-595
• Idioma: inglés
• DOI: 10.1007/S40324-025-00411-W
• Texto completo no disponible (Saber más ...)
• Resumen

  • 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.

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