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A technique to avoid aspect-ratio locking in QUAD8 element for extremely large aspect-ratios
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  • A technique to avoid aspect-ratio locking in QUAD8 element for extremely large aspect-ratios
  • A technique to avoid aspect-ratio locking in QUAD8 element for extremely large aspect-ratios
저자명
Rajendran. S.
간행물명
Structural engineering and mechanics : An international journal
권/호정보
2011년|37권 6호|pp.633-648 (16 pages)
발행정보
테크노프레스
파일정보
정기간행물|ENG|
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기타
이 논문은 한국과학기술정보연구원과 논문 연계를 통해 무료로 제공되는 원문입니다.
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기타언어초록

This paper investigates the aspect-ratio locking of the isoparametric 8-node quadrilateral (QUAD8) element. An important finding is that, if finite element solution is carried out with in exact arithmetic (i.e., with no truncation and round off errors), the locking tendency of the element is completely avoided even for aspect-ratios as high as 100000. The current finite element codes mostly use floating point arithmetic. Thus, they can only avoid this locking for aspect-ratios up to 100 or 1000. A novel method is proposed in the paper to avoid aspect-ratio locking in floating point computations. In this method, the offending terms of the strain-displacement matrix (i.e., $mathbf{B}$-matrix) are multiplied by suitable scaling factors to avoid ill-conditioning of stiffness matrix. Numerical examples are presented to demonstrate the efficacy of the method. The examples reveal that aspect-ratio locking is avoided even for aspect-ratios as high as 100000.