An optimisation approach towards locking-free isotropic shell elements
Abstract eng: The locking phenomena in finite elements is characterised by degraded element performance, principally owing to the inability of the finite element to generate lower-order strain modes. An optimisation approach was previously established to overcome locking, which remedies locking by enriching conforming strain terms with a set of hierarchic terms, and optimising the enriched strains towards an objective low-order strain distribution via mathematical optimisation. In this paper, a J2 invariant-based optimisation function is proposed, which ensures the improved strain tensor to be invariant to the choice of local coordinates and nodal ordering. The modified optimisation approach provides a systematic way of eliminating locking in shell elements for both quadrilateral and triangular elements. Its application to 6-noded and 9-noded shell elements is presented, within the context of large displacement analysis. Linear and geometrically nonlinear numerical examples are finally provided to demonstrate the effectiveness of the proposed shell elements.
Contributors:
Publisher:
Taylor and Francis Group, London, UK
Conference Title:
Conference Title:
Sixth International Conference on Structural Engineering, Mechanics and Computation
Conference Venue:
Cape Town, South Africa
Conference Dates:
2016-09-05 / 2016-09-07
Rights:
Text je chráněný podle autorského zákona č. 121/2000 Sb.
Record appears in:
Record created 2016-09-20, last modified 2016-09-20
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