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| 带双周期裂缝与孔洞的弹性平面基本问题 | |
| 引用本文： | 李星. 带双周期裂缝与孔洞的弹性平面基本问题[J]. 宁夏大学学报(自然科学版), 1990, 11(2): 11-24 |
| 作者姓名： | 李星 |
| 作者单位： | 宁夏大学数学系 |
| 摘 要： | 本文讨论了双周期基本胞腔中既含若干个任意形状孔洞,又具若干条任意形状裂缝的平面弹性基本问题。将寻求复应力函数的问题归结为求解正则型的奇异积分方程,并证明了其解存在且唯一。 |
| 关 键 词： | 双周期 裂缝 孔洞 平面弹性 复应力 |
On Doubly-Periodic Problems in Plane Elasticity with Cracks and Holes |
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| Li Xing. On Doubly-Periodic Problems in Plane Elasticity with Cracks and Holes[J]. Journal of Ningxia University(Natural Science Edition), 1990, 11(2): 11-24 | |
| Authors: | Li Xing |
| Affiliation: | Department of Mathematics |
| Abstract: | In this paper, the first and the second fundamental problems in elastic plane with a doubly-periodic set of cracks and holes of arbitrary shape are investigated when both the elastic region and the stresses are doubly-periodic, Under some general restrictions, the fundamental problems are reduced to certain singular integral equations. The existence and the uniqueness of solution are established. |
| Keywords: | Doubly-Periodic Crack Hole Plane Elasticity Singular Integral Equation Stress Fundamental Period-Parallelogram. |
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