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Viscoplastic Solution of Thick Walled Cylinder Considering Axial Constraint

축방향 경계 조건을 고려한 두꺼운 실린더의 점소성 응력해

  • 윤삼손 (한국과학기술원 기계공학과) ;
  • 이순복 (한국과학기술원 기계공학과)
  • Published : 2003.09.01

Abstract

Finite element analysis using modern constitutive equation is one of the most general tools to simulate the deformation behavior and to predict the life of the structure. Constitutive equation becomes complicated so as to predict the material behavior more accurately than the classical models. Because of the complexity of constitutive model, numerical treatment becomes so difficult that the calculation should be verified carefully. One-element tests, simple tension or simple shear, are usually used to verify the accuracy of finite element analysis using complicated constitutive model. Since this test is mainly focused on the time integration scheme, it is also necessary to verify the equilibrium iteration using material stiffness matrix and to compare FE results with solution of structures. In this investigation, viscoplastic solution of thick walled cylinder was derived considering axial constraints and was compared with the finite element analysis. All the numerical solutions showed a good coincidence with FE results. This numerical solution can be used as a verification tool for newly developed FE code with complicated constitutive model.

Keywords

Viscoplastic Constitutive Equation;Finite Element Method;Time Integration;Thick Walled Cylinder;Generalized Plane Stress Condition;Generalized Plane Strain Condition

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