서지주요정보
6절점 HCT6 요소를 이용한 탄-완전소성체의 평형유한요소 해석법 = Equilibrium finite element analysis of elasto-perfectly plastic bodies using six node HCT6 element
서명 / 저자 6절점 HCT6 요소를 이용한 탄-완전소성체의 평형유한요소 해석법 = Equilibrium finite element analysis of elasto-perfectly plastic bodies using six node HCT6 element / 문병식.
저자명 문병식 ; Moon, Byung-Sik
발행사항 [대전 : 한국과학기술원, 1998].
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소장정보

등록번호

8008583

소장위치/청구기호

학술문화관(문화관) 보존서고

MME 98031

SMS전송

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초록정보

A finite element method for two-dimensional quasi-static elasto-perfectly plasticity problems, employing the stress-based approach, is presented. The HCT6 element, 6-node 12-d.o.f. Hsieh-Clough-Tocher triangle, is used to approximate Airy stress function which is applied to construct the self equilibrating fields of stresses, so it needs $C^1$ continuity. The HCT6 is made of three sub-elements in which shape functions are defined as complete cubic ploynomials and $C^1$ continuity is satisfied in an element. Two examples are solved by using three types of finite elements. The first is the HCT3 element : the 3-node 9-d.o.f. Hsieh-Clough-Tocher triangle. The second is the HCT6 that is the modification of HCT3. The third is the TRI6 : the 6-node 12-d.o.f. triangle which uses the displacement-based FEM. The technique to calculate a shape function value of HCT6 is shown. Traction boundary conditions are imposed by the use of Lagrange's multipliers method, which employs an additional boundary element. The procedure of calculating shape function along boundary is described. For each example, results are obtained with three types of elements and convergence is shown to be achived in each element as the mesh is refined. In the case of stress-based FEM, better results are obtained with HCT6 than HCT3 for the similar number of nodal degrees of freedom. The lower load bound obtained from the stress-based FEM is compared with the upper one obtained from the displacement-based FEM.

서지기타정보

서지기타정보
청구기호 {MME 98031
형태사항 vii, 58 p. : 삽도 ; 26 cm
언어 한국어
일반주기 저자명의 영문표기 : Byung-Sik Moon
지도교수의 한글표기 : 윤성기
지도교수의 영문표기 : Sung-Kie Youn
학위논문 학위논문(석사) - 한국과학기술원 : 기계공학과,
서지주기 참고문헌 : p. 34-35
주제 유한요소법
Airy 응력함수
HCT
유한요소
소성
FEM
Airy stress function
HCT
Element
Plasticity
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