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Mesh distortion, locking and the use of metric trial functions for displacement type finite elements
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  • Mesh distortion, locking and the use of metric trial functions for displacement type finite elements
  • Mesh distortion, locking and the use of metric trial functions for displacement type finite elements
저자명
Kumar. Surendra,Prathap. G.
간행물명
Structural engineering and mechanics : An international journal
권/호정보
2008년|29권 3호|pp.289-300 (12 pages)
발행정보
테크노프레스
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정기간행물|ENG|
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이 논문은 한국과학기술정보연구원과 논문 연계를 통해 무료로 제공되는 원문입니다.
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기타언어초록

The use of metric trial functions to represent the real stress field in what is called the unsymmetric finite element formulation is an effective way to improve predictions from distorted finite elements. This approach works surprisingly well because the use of parametric functions for the test functions satisfies the continuity conditions while the use of metric (Cartesian) shape functions for the trial functions attempts to ensure that the stress representation during finite element computation can retrieve in a best-fit manner, the actual variation of stress in the metric space. However, the issue of how to handle situations where there is locking along with mesh distortion has never been addressed. In this paper, we show that the use of a consistent definition of the constrained strain field in the metric space can ensure a lock-free solution even when there is mesh distortion. The three-noded Timoshenko beam element is used to illustrate the principles. Some significant conclusions are drawn regarding the optimal strategy for finite element modelling where distortion effects and field-consistency requirements have to be reconciled simultaneously.