Alleviation of membrane locking in continuum-mechanics based 4-node quadrilateral shell elements = 연속체 역학 기반 4절점 쉘 유한요소의 막잠김 현상 해결

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In this paper, several continuum-mechanics based finite elements are developed by remedying their deficiencies. Our focus is to develop reliable and efficient shell and solid-shell elements satisfying the ellipticity, consistency and inf-sup conditions. That is, basic tests including the isotropy, patch and zero energy mode tests should be passed and the elements should show uniformly optimal convergence to reference solutions regardless of asymptotic categories of the shell structures considered. Membrane locking severely deteriorates the performance of the of 4-node quadrilateral shell elements when curved geometries are solved with distorted meshes. Previous studies to remedy membrane locking based on reduced integration and assumed strain method has not been successful in developing reliable 4-node shell elements. In the present study, membrane locking in 4-node quadrilateral shell elements is deeply studied for arbitrary mesh geometry. Three new 4-node shell elements developed are presented. In addition, 6-node triangular solid-shell element is developed as an extension of previous shear locking treatment of 3-node shell element and the remedies of thickness locking in the previous literatures. The newly developed continuum-mechanics based shell elements are examined through basic numerical tests as well as comprehensive convergence studies encompassing the practical range of shell thickness.
Advisors
Lee, Phill-Seungresearcher이필승researcher
Description
한국과학기술원 :기계공학과,
Publisher
한국과학기술원
Issue Date
2017
Identifier
325007
Language
eng
Description

학위논문(박사) - 한국과학기술원 : 기계공학과, 2017.2,[viii, 131 p. :]

Keywords

shell element; solid-shell element; assumed strain method; membrane locking; thickness locking; 쉘 유한요소; 연속체 쉘 유한요소; 대체 변형률장; 막잠김 현상; 두께 잠김 현상

URI
http://hdl.handle.net/10203/242136
Link
http://library.kaist.ac.kr/search/detail/view.do?bibCtrlNo=675617&flag=dissertation
Appears in Collection
OSE-Theses_Ph.D.(박사논문)
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