Prism solid-shell with heterogonous and hierarchical approximation basis

L. Kaczmarczyk, Zahur Ullah, C. J. Pearce

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

A solid-shell element which does not possess rotational degrees of freedom (DOFs) and which is applicable to thin plate/shell problems is considered. The element approximation is constructed in prisms, where displacements on the upper and lower surfaces are approximated in the global coordinate system. In addition, two other fields are defined in the shell natural (local) coordinate system that represent the components of the displacement vector in both the current shell normal direction and the current shell tangent plane. To each field, an arbitrary order of approximation can be defined, and all fields reproduce a complete and conforming polynomial approximation basis for the solid prism element. It is not necessary to augment the formulation with an assumed natural strain (ANS) field or enhanced assumed strain (EAS) field or to use reduced integration, making the element ideally suited for geometrically and physically nonlinear problems.
LanguageEnglish
Title of host publicationUnknown Host Publication
Pages189-192
Number of pages4
Publication statusAccepted/In press - 31 Mar 2016
Event24th UK Conference of the Association for Computational Mechanics in Engineering - Cardiff University, Cardiff, UK
Duration: 31 Mar 2016 → …

Conference

Conference24th UK Conference of the Association for Computational Mechanics in Engineering
Period31/03/16 → …

Fingerprint

Prisms
Polynomial approximation

Keywords

  • solid shell
  • large deformations
  • hierarchical approximation

Cite this

Kaczmarczyk, L., Ullah, Z., & Pearce, C. J. (Accepted/In press). Prism solid-shell with heterogonous and hierarchical approximation basis. In Unknown Host Publication (pp. 189-192)
Kaczmarczyk, L. ; Ullah, Zahur ; Pearce, C. J. / Prism solid-shell with heterogonous and hierarchical approximation basis. Unknown Host Publication. 2016. pp. 189-192
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Kaczmarczyk, L, Ullah, Z & Pearce, CJ 2016, Prism solid-shell with heterogonous and hierarchical approximation basis. in Unknown Host Publication. pp. 189-192, 24th UK Conference of the Association for Computational Mechanics in Engineering, 31/03/16.

Prism solid-shell with heterogonous and hierarchical approximation basis. / Kaczmarczyk, L.; Ullah, Zahur; Pearce, C. J.

Unknown Host Publication. 2016. p. 189-192.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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N2 - A solid-shell element which does not possess rotational degrees of freedom (DOFs) and which is applicable to thin plate/shell problems is considered. The element approximation is constructed in prisms, where displacements on the upper and lower surfaces are approximated in the global coordinate system. In addition, two other fields are defined in the shell natural (local) coordinate system that represent the components of the displacement vector in both the current shell normal direction and the current shell tangent plane. To each field, an arbitrary order of approximation can be defined, and all fields reproduce a complete and conforming polynomial approximation basis for the solid prism element. It is not necessary to augment the formulation with an assumed natural strain (ANS) field or enhanced assumed strain (EAS) field or to use reduced integration, making the element ideally suited for geometrically and physically nonlinear problems.

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Kaczmarczyk L, Ullah Z, Pearce CJ. Prism solid-shell with heterogonous and hierarchical approximation basis. In Unknown Host Publication. 2016. p. 189-192