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正交异性材料弹性力学通解
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Abstract:
正交异性材料力学行为研究对于复合材料结构设计及工程应用具有重要意义。根据正交异性材料本构关系，建立了求解正交异性板应力边值问题的弹性力学基本方程。利用坐标变换法和实函数分析对正交异性板的偏微分方程进行充分求解。以楔形板承受集中力作为典例，选用恰当的调和函数推导出正交异性板的应力场通解。
The investigation of the mechanic property for orthotropic materials must be of great significance for the design procedure and engineering application of composite constructions. According to the constitutive relations of the orthotropic materials, the basic equations of elastic mechanics have been established to solve the stress boundary problem of the orthotropic plate. By the method of the coordinate transition and real variable functional analysis, the partial derivation equation of the orthotropic plate has been fully solved. To take the wedge plate supported a concentrated force for the typical example, and by selecting the reasonable harmonious functions, the general solutions of stress fields are derived for the orthotropic plate.
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