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

Ke Yong Wang

doi:10.4028/www.scientific.net/AMR.279.194

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HomeAdvanced Materials ResearchAdvanced Materials Research Vol. 279A Four-Node Hybrid-Trefftz Plane Elasticity...

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

Abstract:

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:

Advanced Materials Research (Volume 279)

Pages:

194-199

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.279.194

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Online since:

July 2011

Authors:

Ke Yong Wang

Keywords:

Fundamental Analytical Solution, Hybrid-Trefftz Element, Modified Variational Functional

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