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不同方向载荷作用下含圆孔正交各向异性平面应力问题的弹性解

Elastic solution of plane stress of orthotropic plate with circular holes under different direction loads
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摘要 在工程实际当中,复合材料构件由于环境影响在制造、运输或使用过程中会有孔洞,也会产生微小的缺陷和裂纹。这些孔洞,缺陷和裂纹在外界载荷作用下通常会引起其周围区域的应力集中,这些因素都会削弱结构的静强度和疲劳强度。针对含圆孔的正交各向异性板,根据非均质各向异性弹性理论对孔边进行应力分析,提出积分方程法求解方案。通过保角映射方法建立精确的边界条件,解决了复杂孔形的边界条件问题,按照所建立的数学模型对含有圆形孔的复合材料板进行应力分析,得到了精确解析解。对不同方向的载荷作用情况,以及他们对孔边应力集中系数的影响进行探讨,同含有圆孔的均质材料板孔边的应力场进行比较。 Affected by environments, holes, minute flaws and cracks might come into being in composite material components during the fabrication, transportation and application process, which will cause stress concentrations around them under external loads and weaken the static strength and fatigue strength of the structure. Hole-edge stress analysis of orthotropie plate with circular holes is made upon the nonhomogeneous anisotropic elastic theory, integral equation method is presented. Accurate boundary conditions of composite material plates are founded to resolve boundarycondition problems of complex holes by a con_formal mapping method. The stress of a composite material plate with circular holes is analyzed to get accurate analytical solutions by mathematic model developed here, and then the influences of different directional loads on hole-edge stress concentration factor are discussed. And comparison studies on hole-edge stress with homogeneous plate are carried out.
出处 《兵器材料科学与工程》 CAS CSCD 北大核心 2007年第2期1-4,共4页 Ordnance Material Science and Engineering
关键词 圆孔 复合材料 积分方程 精确的边界条件 circular holes composite materials integral equation accurate boundary conditions
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参考文献8

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