A Four-Node Hybrid-Trefftz Plane Elasticity Element with Fundamental Analytical Solutions

Abstract:

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A new four-node hybrid-Trefftz element is developed for plane elasticity problems. From the Airy stress function, the fundamental analytical solutions of the governing equation are derived as Trefftz functions for the intra-element (Trefftz) displacement field. Together with an independent frame displacement field along the element boundary, the element formulation is then constructed following the modified variational functional. Several numerical examples indicate that the proposed element exhibits good performance.

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Periodical:

Edited by:

Fei Hu and Beibei Wang

Pages:

194-199

DOI:

10.4028/www.scientific.net/AMR.279.194

Citation:

K. Y. Wang "A Four-Node Hybrid-Trefftz Plane Elasticity Element with Fundamental Analytical Solutions", Advanced Materials Research, Vol. 279, pp. 194-199, 2011

Online since:

July 2011

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Price:

$35.00

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