| 从能量原理推导J积分的表达式 |
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| 引用本文： | 唐小弟.从能量原理推导J积分的表达式[J].中南林业科技大学学报,1994(1). |
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| 作者姓名： | 唐小弟 |
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| 作者单位： | Dept.of Forestry Products industry，CSFC |
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| 摘 要： | 本文用最小位能原理和最小余能原理，推导出了弹塑性断裂力学中的Ｊ积分表达式．并由此而得到非线性弹性材料和弹塑性材料的平面裂纹尖端发生断裂前，位能与众能同时达到最小值．这一推导，为能量原理在断裂力学中的应用提出了一个新的见解．
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| 关 键 词： | 能量原理：J积分 最小位能原理 最小余能原理 变分原理 |
The J-Integral Equation Deduced from the Energy Principles |
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| Tang Xiaodi.The J-Integral Equation Deduced from the Energy Principles[J].Journal of Central South Forestry University,1994(1). |
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| Authors: | Tang Xiaodi |
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| Abstract: | The J-integral equaiton which is used in the elastic-plastic fracture mechanics is deduces byapplying the principle of least potential energy and the principles of least complementary energy.From the J-integral equation,the potential energy and the complemenlary energy can simultaneously arrive at the minimum value before the pointed ends of plane crack on the non--linear elasticand elasticplastic materials begin fracturing.From the deduction,a new concept for the application of the energy principles in the fracture mechanics is put forward. |
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| Keywords: | energy principles J-integral Principle of least potential energy principle of leastcomplementray energy variational principles |
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