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A new volumetric and shear locking‐free 3D enhanced strain element

R.J. Alves de Sousa (Departamento de Engenharia Mecânica, Universidade de Aveiro, Portugal IDMEC – Faculdade de Engenharia, Universidade do Porto, Portugal)
R.M. Natal Jorge (IDMEC – Faculdade de Engenharia, Universidade do Porto, Portugal)
R.A. Fontes Valente (Departamento de Engenharia Mecânica, Universidade de Aveiro, Portugal IDMEC – Faculdade de Engenharia, Universidade do Porto, Portugal)
J.M.A. César de Sá (IDMEC – Faculdade de Engenharia, Universidade do Porto, Portugal)

Engineering Computations

ISSN: 0264-4401

Publication date: 1 November 2003

Abstract

This paper focuses on the development of a new class of eight‐node solid finite elements, suitable for the treatment of volumetric and transverse shear locking problems. Doing so, the proposed elements can be used efficiently for 3D and thin shell applications. The starting point of the work relies on the analysis of the subspace of incompressible deformations associated with the standard (displacement‐based) fully integrated and reduced integrated hexahedral elements. Prediction capabilities for both formulations are defined related to nearly‐incompressible problems and an enhanced strain approach is developed to improve the performance of the earlier formulation in this case. With the insight into volumetric locking gained and benefiting from a recently proposed enhanced transverse shear strain procedure for shell applications, a new element conjugating both the capabilities of efficient solid and shell formulations is obtained. Numerical results attest the robustness and efficiency of the proposed approach, when compared to solid and shell elements well‐established in the literature.

Keywords

  • Shell structures
  • Strain measurement
  • Shear strength

Citation

Alves de Sousa, R.J., Natal Jorge, R.M., Fontes Valente, R.A. and César de Sá, J.M.A. (2003), "A new volumetric and shear locking‐free 3D enhanced strain element", Engineering Computations, Vol. 20 No. 7, pp. 896-925. https://doi.org/10.1108/02644400310502036

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Publisher

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MCB UP Ltd

Copyright © 2003, MCB UP Limited

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