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Three dimensional, finite deformation, elastic-plastic finite element analysis of ductile structures
Abstract This paper presents an accurate finite deformation, elastic-plastic incremental finite element procedure to analyse three-dimensional realistic ductile metal structures. In dealing with the geometric as well as materials nonlinearities, the present procedure is based on a continuously updated Lagrangean coordinate formulation, and a consistent tangent modulus incremental plasticity approach with iterative equilibrium corrections. Plasticity effects are accounted for in the stiffness matrix, which is updated in each step of iterative loading. To account for the anisotropy of plastic deformation and the Bauschinger effect, based on the well-known Huber-Mises-Hencky yield criterion, Drucker's normality conditions and Prager-Ziegler's kinematic hardening law, a three-dimensional constitutive relation between the incremental Truesdell stress and the incremental Green strain is first derived. Verification of the present analysis is obtained by analysing the thick circular ring under increasing diametral loading for which experimental results are also available. Lastly, to study the variation of stress concentration factors across the thickness of elastic-plastic structures, which is important in engineering practice, a uniaxially loaded thick plate with a central hollow circular cylinder is investigated. The spreading of the yield zones at various sections in the specimen for various load levels can be drawn.
Three dimensional, finite deformation, elastic-plastic finite element analysis of ductile structures
Abstract This paper presents an accurate finite deformation, elastic-plastic incremental finite element procedure to analyse three-dimensional realistic ductile metal structures. In dealing with the geometric as well as materials nonlinearities, the present procedure is based on a continuously updated Lagrangean coordinate formulation, and a consistent tangent modulus incremental plasticity approach with iterative equilibrium corrections. Plasticity effects are accounted for in the stiffness matrix, which is updated in each step of iterative loading. To account for the anisotropy of plastic deformation and the Bauschinger effect, based on the well-known Huber-Mises-Hencky yield criterion, Drucker's normality conditions and Prager-Ziegler's kinematic hardening law, a three-dimensional constitutive relation between the incremental Truesdell stress and the incremental Green strain is first derived. Verification of the present analysis is obtained by analysing the thick circular ring under increasing diametral loading for which experimental results are also available. Lastly, to study the variation of stress concentration factors across the thickness of elastic-plastic structures, which is important in engineering practice, a uniaxially loaded thick plate with a central hollow circular cylinder is investigated. The spreading of the yield zones at various sections in the specimen for various load levels can be drawn.
Three dimensional, finite deformation, elastic-plastic finite element analysis of ductile structures
Chen, Wen-Hwa (author)
Engineering Structures ; 4 ; 242-248
1982-01-01
7 pages
Article (Journal)
Electronic Resource
English
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