| Plastic theory for the multi-crystal metals-From infinitesimal deformation to finite deformation |
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| 作者姓名： | LI Mingrui ZHOU Zhe HUANG Wenbin |
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| 作者单位： | Applied Mechanics Institute, China Agricultural University, Beijing 100083, China,Applied Mechanics Institute, China Agricultural University, Beijing 100083, China,Applied Mechanics Institute, China Agricultural University, Beijing 100083, China |
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| 摘 要： | Multi-crystal metals have the property of volume conservation in the plastic state. In the infinitesimal deformation plasticity the strain tensor can be split into a deviator part and a volumetric part. The vanishing of the first variant of the strain tensor is equivalent to the volume conservation. Furthermore, the split of the strain into an elastic part and a plastic part is also adopted widely. The flow rule is thus established. These two splits are not confirmed in the finite deformation plasticity. The plasticity criterion and the flow rule are thus facing great challenge. There are various definitions of strain measures in the finite deformation theory. Though the choosing of strain measure is arbitrary in the elastic problem, it is strongly restricted in the plastic problem. By theoretical and experimental studies, it is shown that the logarithmic strain is the only suitable strain measure in the metal forming problem.
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| 关 键 词： | finite deformation plasticity logarithmic strain multi-crystal metal |
Plastic theory for the multi-crystal metals-From infinitesimal deformation to finite deformation |
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| LI Mingrui,ZHOU Zhe,HUANG Wenbin.Plastic theory for the multi-crystal metals-From infinitesimal deformation to finite deformation[J].Progress in Natural Science,2003,13(1):25-30. |
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| Authors: | Li Mingrui ZHOU Zhe Huang Wenbin |
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| Institution: | Applied Mechanics Institute, China Agricultural University, Beijing 100083, China |
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| Abstract: | Multi-crystal metals have the property of volume conservation in the plastic state. In the infinitesimal deformation plasticity the strain tensor can be split into a deviator part and a volumetric part. The vanishing of the first variant of the strain tensor is equivalent to the volume conservation. Furthermore, the split of the strain into an elastic part and a plastic part is also adopted widely. The flow rule is thus established. These two splits are not confirmed in the finite deformation plasticity. The plasticity criterion and the flow rule are thus facing great challenge. There are various definitions of strain measures in the finite deformation theory. Though the choosing of strain measure is arbitrary in the elastic problem, it is strongly restricted in the plastic problem. By theoretical and experimental studies, it is shown that the logarithmic strain is the only suitable strain measure in the metal forming problem. |
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| Keywords: | finite deformation plasticity logarithmic strain multi-crystal metal |
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