| 平面断裂解析元的列式 |
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| 引用本文： | 钟万勰,张洪武.平面断裂解析元的列式[J].机械强度,1995,17(3):1-6. |
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| 作者姓名： | 钟万勰 张洪武 |
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| 作者单位： | 大连理工大学工程力学研究所 |
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| 摘 要： | 将平面弹性扇形域的方程通过变量代换导向哈密顿体系，从而可通过分离变量及共轭辛本征函数展开法解析求解扇形域的方程，对于外圆圈上任意给出的有限元离散插值位移，给出了弹性平面断裂解析元。
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| 关 键 词： | 断裂 解析 平面 弹性力学 |
ANALYTICAL FORMULAS ON PLANE CRACK ELEMENT |
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| Zhong Wanxie,Zhang Hongwu.ANALYTICAL FORMULAS ON PLANE CRACK ELEMENT[J].Journal of Mechanical Strength,1995,17(3):1-6. |
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| Authors: | Zhong Wanxie Zhang Hongwu |
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| Abstract: | The governing equations of plane elasticity in sectorial domain are derived to be in Hamiltonianform via variable substitutions.The methods of seperation of variables and conjugate symplectic eigenfunctionexpansion are developed to solve the equations in sectorial domain,The analytical element for piane elastic crackproblems,in which the arbitrary finite element displacements on the boundary of sectorial area are adopted,are put forward. |
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| Keywords: | crack element analytical solution plane |
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