| 面向剪切下各向异性三相椭圆夹杂中均匀应力 |
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| 引用本文： | 王旭 沈亚鹏. 面向剪切下各向异性三相椭圆夹杂中均匀应力[J]. 力学学报, 2002, 34(1): 37-46 |
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| 作者姓名： | 王旭 沈亚鹏 |
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| 作者单位： | 西安交通大学工程力学系 西安710049(王旭)，西安交通大学工程力学系 西安710049(沈亚鹏) |
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| 基金项目： | 国家自然科学基金（101320101），西安交通大学博士学位论文基金资助项目~~ |
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| 摘 要： | 论证了只要合适选择中间界面层的弹性常数，各向异性线弹性固体在远场均匀反平面剪切应力作用下三相椭圆夹杂内椭圆上仍存在均匀应力场。讨论了内外两椭圆除过其中心相同外无其它任何几何限制条件。所给出的数值算例显示出该结论的正确性。该方法为纤维增强复合材料的设计提供了一条新途径。
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| 关 键 词： | 各向异性 反平面剪切 均匀应力 材料本征值 三相椭圆夹杂 中间界面层 纤维增强复合材料 弹性常数 各向异性线弹性固体 |
| 修稿时间： | 2000-11-25 |
UNIFORMITY OF STRESSES WITHIN A THREE-PHASE ANISOTROPIC ELLIPTIC INCLUSION IN ANTI-PLANE SHEAR |
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| Wang XuShen Yapeng. UNIFORMITY OF STRESSES WITHIN A THREE-PHASE ANISOTROPIC ELLIPTIC INCLUSION IN ANTI-PLANE SHEAR[J]. chinese journal of theoretical and applied mechanics, 2002, 34(1): 37-46 |
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| Authors: | Wang XuShen Yapeng |
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| Abstract: | This investigation proves that a three-phase anisotropic elliptic inclusion under uniform remote stresses in anti-plane shear admits an internal uniform stress field within inner elliptical inclusion provided that constitutive parameters for the interphase layer are properly selected. In comparison with the result obtained by Ru[5], the inner and the outer ellipses have no other geometrical restrictions except that the two ellipses are concentric; in addition the anisotropic effects for the inner elliptical inclusion and the outer matrix are simultaneously taken into consideration in our discussion. A numerical example is illustrated to verify the correctness of the analysis. The methodology proposed in the present paper provides a novel approach for the design of fiber reinforced composite materials. |
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| Keywords: | anisotropy anti-plane shear elliptic inclusion uniform stresses material's eigenvalue |
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