Uniform Convergence Analysis of a Higher Order Hybrid Stress Quadrilateral Finite Element Method for Linear Elasticity Problems
2016 ◽
Vol 8
(3)
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pp. 399-425
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Abstract.This paper derives a higher order hybrid stress finite element method on quadrilateral meshes for linear plane elasticity problems. The method employs continuous piecewise bi-quadratic functions in local coordinates to approximate the displacement vector and a piecewise-independent 15-parameter mode to approximate the stress tensor. Error estimation shows that the method is free from Poisson-locking and has second-order accuracy in the energy norm. Numerical experiments confirm the theoretical results.
2015 ◽
Vol 39
(2)
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pp. 642-653
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1992 ◽
Vol 96
(1)
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pp. 45-63
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2009 ◽
Vol 59
(5)
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pp. 905-919
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2018 ◽
Vol 456
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pp. 012114
2001 ◽
Vol 3
(1)
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pp. 27
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2013 ◽
Vol 72
(2)
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pp. 111-123
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1993 ◽
Vol 102
(1)
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pp. 29-40
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