서지주요정보
드릴링 자유도의 삼차 근사법과 대체변형률법을 이용한 비선형 감절점 쉘 요소의 개발 = Development of a nonlinear degenerated shell element with the drilling degree of freedom by the cubic polynomial interpolation and the assumed strain method
서명 / 저자 드릴링 자유도의 삼차 근사법과 대체변형률법을 이용한 비선형 감절점 쉘 요소의 개발 = Development of a nonlinear degenerated shell element with the drilling degree of freedom by the cubic polynomial interpolation and the assumed strain method / 이형욱.
저자명 이형욱 ; Lee, Hyoung-Wook
발행사항 [대전 : 한국과학기술원, 2003].
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8014295

소장위치/청구기호

학술문화관(문화관) 보존서고

DME 03018

SMS전송

도서상태

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초록정보

Most structural analyses are concerned with the behavior of shell structures that are the effective form of relatively thin and flexible structures. Deformation of the shell structures is generally calculated by the finite element analysis with shell elements. The demand of shell models is rapidly growing in a wide range of finite element analyses of the shell structures in order to perform large-scale computations in complicated three-dimensional problems of structural analyses and forming processes. Among various types of shell elements, the four-node bilinear degenerated shell element is widely used for numerical analysis Many recent efforts have been done to include the sixth degree of freedom of the drilling rotation compatible to the physical meaning. In this paper, a four-node degenerated shell element with the drilling DOF is developed to solve nonlinear problems with the implicit numerical scheme based on the Belytschko-Leviathan's shell element and the Zhu-Zacharia's bilinear quadrilateral shell element. The drilling DOF has been interpolated by a cubic polynomial function of the beam deflection mechanism and the assumed strain method for the purpose of eliminating the in-plane shear locking phenomenon induced by the third order polynomial interpolation. A suitable assumed strain method for the drilling DOF is obtained by the Rayleigh-Ritz method and is applied to portion of the drilling DOF among the in-plane strain components of a shell element. The transverse shear locking phenomenon is prevented by the Dvorkin and Bathe's assumed strain method. The one point integration rule is adopted for the computational efficiency. Since the reduced integration results in spurious energy modes so called hourglass modes, the physical stabilization method is applied in order to control these spurious modes. The shell element developed is extended to deal with the geometric and the material nonlinearities. The material nonlinearity is considered by applying the return mapping method for a plane stress problem by Simo and Taylor in order to deal with the elasto-plastic constitutive model. Several benchmark problems and example problems were solved to investigate the performance of the element developed. The eigenvalue analysis confirmed the validity of the developed shell element and the analysis of linear problems demonstrated the accuracy and convergence of the element developed. Results of linear problems demonstrated that the element developed was free from the in-plane shear locking phenomenon and had good convergence and accuracy under the in-plane deformation and the warped geometry even with the coarse mesh system. The result form the full hemispherical shell problem showed that the membrane locking phenomenon still occurred with the coarse mesh system since it was influenced by the term with ξη. Nonlinear problems including the geometrical and the material nonlinearities were chosen in order to confirm the versatility of the drilling degree of freedom and the robustness in the large rotational problem. The nonlinear problems of the bending, the torsion, the plate with a hole, collapse of a square box and collapse of a S-rail have been solved with the element developed and the results fully demonstrate the versatility and performance of the developed shell element. Results showed that the element developed was useful not only in linear problems but also in nonlinear problems including the geometrical and the material nonlinearities.

서지기타정보

서지기타정보
청구기호 {DME 03018
형태사항 ix, 107 p. : 삽도 ; 26 cm
언어 한국어
일반주기 저자명의 영문표기 : Hyoung-Wook Lee
지도교수의 한글표기 : 허훈
지도교수의 영문표기 : Hoon Huh
수록잡지명 : "Nonlinear degenerated shell element with the drilling degree of freedom by the cubic polynomial inte". Computer methods in applied mechanics and engineering
수록잡지명 : "Optimization of a roller leveling process for Al7001T9 pipes with finite element analysis and taguchi method". International journal of machine tools and manufacture, (2003)
학위논문 학위논문(박사) - 한국과학기술원 : 기계공학전공,
서지주기 참고문헌 : p. 101-107
주제 감절점 쉘 요소
드릴링 자유도
대체변형률법
비선형
degenerated shell element
drilling degree of freedom
assumed strain method
nonlinear
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