| 弹塑性耦合张量的宏细观对偶形式 |
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| 引用本文： | 孙秦,徐晓飞. 弹塑性耦合张量的宏细观对偶形式[J]. 应用力学学报, 1998, 0(4) |
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| 作者姓名： | 孙秦 徐晓飞 |
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| 作者单位： | 西北工业大学(孙秦)，南昌６５０飞机设计研究所(徐晓飞) |
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| 摘 要： | 依据弹塑性耦合问题的不同类型，应用广义正交原理，在应变空间上推导出已知宏、细观形变规律情况下两种不同形式的弹塑性耦合张量理论表达式及其显形式。该两类弹塑性耦合张量作为宏、细观的对耦形式可应用于体胞模型的损伤力学理论分析与数值计算。
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| 关 键 词： | 弹塑性耦合张量；宏细观对耦形式；损伤力学 |
On Macroscopic and Mesoscopic Conjugate Forms of Elastoplastic Coupling Tensor |
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| Sun Qin Xu Xiaofei Aircraft Engineering Department,Northwestern Polytechnical University Aircraft Design Institute,Nan Chang Aircraft Industrial Company. On Macroscopic and Mesoscopic Conjugate Forms of Elastoplastic Coupling Tensor[J]. Chinese Journal of Applied Mechanics, 1998, 0(4) |
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| Authors: | Sun Qin Xu Xiaofei Aircraft Engineering Department Northwestern Polytechnical University Aircraft Design Institute Nan Chang Aircraft Industrial Company |
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| Affiliation: | Sun Qin 1 Xu Xiaofei 2 1 Aircraft Engineering Department,Northwestern Polytechnical University 2 650 Aircraft Design Institute,Nan Chang Aircraft Industrial Company |
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| Abstract: | According to different scale material performances data obtainable in analysis of elastoplastic coupling problems, this paper dedicated its rigorous study to deduce the closed theoretical and explicit conjugate expressions of elastoplastic coupling tensor in mesoscopic and macroscopic dimensions. Their theoretical tensor forms, eqs. 9 and 15, were stringently proven through generalized orthogonal principle in strain space, also their corresponding explicit expressions, eqs. 28 and 37, were obtained respectively by generalized Gurson's plastic potential function and dynamic damage evolution laws in meso scale, and by damage phenomenal laws in macro scale. Both kinds of elastoplastic coupling tensor forms, acting as new constitutive relationships of representative material cell in different scales, can be applied to theoretical analysis and numerical computations of damage mechanics. |
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| Keywords: | elastoplastic coupling tensor theoretical and explicit conjugate expressions macroscopic and mesoscopic dimensions. |
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