Structural Engineering and Mechanics

  • 제4권5호
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  • Pages.569-586
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  • 1996
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
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DOI QR코드

DOI QR Code

Three dimensional non-conforming 8-node solid elements with rotational degrees of freedom

  • Choi, Chang-Koon (Department of Civil Engineering, Korea Advanced Institute of Science and Technology) ;
  • Chung, Keun-Young (Department of Civil Engineering, Korea Advanced Institute of Science and Technology) ;
  • Lee, Nam-Ho (Korea Power Engineering Company, Inc.)
  • 발행 : 1996.09.25
⟨ 이전 논문 다음 논문 ⟩

초록

A new three-dimensional 8-node solid element with rotational degrees of freedom is presented. The proposed element is established by adding rotational degrees of freedom to the basic 8-node solid element. Thus the element has three translations and three rotational degrees of freedom per node. The corner rotations are introduced by transforming the hierarchical mid-edge displacements which are parabolic shape along an edge. The derivation of the element is based on the mixed variational principles in which the rotations are introduced as independent variables. Several types of non-conforming modes are selectively added to the displacement fields to obtain a series of improved elements. The resulting elements do not have the spurious zero energy modes and Poisson's ratio locking and pass patch test. Numerical examples show that presented non-conforming solid elements with rotational degrees of freedom show good performance even in the highly distorted meshes.

키워드

참고문헌

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피인용 문헌

  1. A hybrid 8-node hexahedral element for static and free vibration analysis vol.21, pp.5, 2005, https://doi.org/10.12989/sem.2005.21.5.571
  2. A direct modification method for strains due to non-conforming modes vol.11, pp.3, 2001, https://doi.org/10.12989/sem.2001.11.3.325
  3. Mixed formulated 13-node hexahedral elements with rotational degrees of freedom: MR-H13 elements vol.11, pp.1, 2001, https://doi.org/10.12989/sem.2001.11.1.105
  4. Finite element linear and nonlinear, static and dynamic analysis of structural elements – an addendum – A bibliography (1996‐1999) vol.17, pp.3, 2000, https://doi.org/10.1108/02644400010324893