| VARIATIONAL PRINCIPLE OF RATE PROBLEM OF ELASTICPLASTIC LARGE DEFORMATION AND IT''S APPLICATION |
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| 引用本文： | Wang Linyun. VARIATIONAL PRINCIPLE OF RATE PROBLEM OF ELASTICPLASTIC LARGE DEFORMATION AND IT''S APPLICATION[J]. 保鲜与加工, 1989, 0(5): 59-67 |
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| 作者姓名： | Wang Linyun |
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| 作者单位： | Wang Linyun |
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| 摘 要： | In this paper, based on Hill's general variational principle(l958-1959), a variational equation in intitial configuration ( reference configuration) and current configuration ( reference configuration ) is derived using convetced coordinates.The derived variational equation is for large elastoplastic, double nonlinear rate problem and is suited for finite element caculation.As an applied example of the derived variational equation, necking of a plane strain ploymer sheet with a initial geometric inperfection ( initial neck ) is analysed using the finite formulation based on the derived variational equation. Work hardening of materials is considered.The derived variational equation in this paper is suitable for analysing large elastoplastic deformation problem including metal forming processes.
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| 关 键 词： | elastic-plastic large deforman variational priciple /rate problem |
VARIATIONAL PRINCIPLE OF RATE PROBLEM OF ELASTICPLASTIC LARGE DEFORMATION AND IT''S APPLICATION |
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| Wang Linyun. VARIATIONAL PRINCIPLE OF RATE PROBLEM OF ELASTICPLASTIC LARGE DEFORMATION AND IT''S APPLICATION[J]. Storage & Process, 1989, 0(5): 59-67 |
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| Authors: | Wang Linyun |
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| Affiliation: | Wang Linyun |
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| Abstract: | In this paper, based on Hill's general variational principle(l958-1959), a variational equation in intitial configuration ( reference configuration) and current configuration ( reference configuration ) is derived using convetced coordinates.The derived variational equation is for large elastoplastic, double nonlinear rate problem and is suited for finite element caculation.As an applied example of the derived variational equation, necking of a plane strain ploymer sheet with a initial geometric inperfection ( initial neck ) is analysed using the finite formulation based on the derived variational equation. Work hardening of materials is considered.The derived variational equation in this paper is suitable for analysing large elastoplastic deformation problem including metal forming processes. |
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| Keywords: | elastic-plastic large deforman variational priciple /rate problem |
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