Assumed strain formulation for triangular C0 plate elements based on a weak form of the Kirchhoff constraints

H. K. Stolarski; M. Y M Chiang

doi:10.1002/nme.1620281009

Assumed strain formulation for triangular C⁰ plate elements based on a weak form of the Kirchhoff constraints

H. K. Stolarski, M. Y M Chiang

Civil, Environmental, and Geo- Engineering

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Abstract

Application of a weak form of the Kirchhoff constraints in the formulation of triangular assumed shear strain C⁰ plate element is described. It is shown that, compared to a similar formulation of the quadrilateral elements, formulation of the triangles requires some additional considerations which lead to additional terms in the energy expression. With those terms performance of the assumed shear strain triangular elements is comparable to that of the quadrilateral elements.

Original language	English (US)
Pages (from-to)	2323-2338
Number of pages	16
Journal	International Journal for Numerical Methods in Engineering
Volume	28
Issue number	10
DOIs	https://doi.org/10.1002/nme.1620281009
State	Published - Oct 1989

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10.1002/nme.1620281009

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abstract = "Application of a weak form of the Kirchhoff constraints in the formulation of triangular assumed shear strain C0 plate element is described. It is shown that, compared to a similar formulation of the quadrilateral elements, formulation of the triangles requires some additional considerations which lead to additional terms in the energy expression. With those terms performance of the assumed shear strain triangular elements is comparable to that of the quadrilateral elements.",

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N2 - Application of a weak form of the Kirchhoff constraints in the formulation of triangular assumed shear strain C0 plate element is described. It is shown that, compared to a similar formulation of the quadrilateral elements, formulation of the triangles requires some additional considerations which lead to additional terms in the energy expression. With those terms performance of the assumed shear strain triangular elements is comparable to that of the quadrilateral elements.

AB - Application of a weak form of the Kirchhoff constraints in the formulation of triangular assumed shear strain C0 plate element is described. It is shown that, compared to a similar formulation of the quadrilateral elements, formulation of the triangles requires some additional considerations which lead to additional terms in the energy expression. With those terms performance of the assumed shear strain triangular elements is comparable to that of the quadrilateral elements.

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Assumed strain formulation for triangular C⁰ plate elements based on a weak form of the Kirchhoff constraints

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