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A 2D Model Which Accounts for Transverse Strains in a Linear Elastic Thick Shell

Author

Listed:
  • Nzengwa Robert
  • Djopkop Kouanang Landry
  • Bodol Momha Merlin
  • Amba Jean Chills
  • Nkongho Anyi Joseph
  • Zoa Ambassa
  • Salvatore Caddemi

Abstract

In this paper we present a 2D four-parameter model that accounts for the variation of transverse deformation through-the-thickness in thick linear elastic shells. This model is deduced directly from the 3D elasticity equations of the traction-displacement boundary value problem. Transverse shear strains and thickness variation are accountable through additional terms which appear in the final equations besides well-known terms in the classical Kirchhoff-Love models for thin shells. A unique solution of the variational equation is established, and numerical and analytical results are compared with satisfaction.

Suggested Citation

  • Nzengwa Robert & Djopkop Kouanang Landry & Bodol Momha Merlin & Amba Jean Chills & Nkongho Anyi Joseph & Zoa Ambassa & Salvatore Caddemi, 2022. "A 2D Model Which Accounts for Transverse Strains in a Linear Elastic Thick Shell," Mathematical Problems in Engineering, Hindawi, vol. 2022, pages 1-14, October.
    • Handle: RePEc:hin:jnlmpe:5485130
    DOI: 10.1155/2022/5485130
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