含有扁长椭球形增强物复合材料的弹性常数
OVERALL ELASTIC MODULI OF COMPOSITE MATERIALS WITH PROLATRE SPHEROID INCLUSIONS
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摘要: 研究了含有扁长椭球形增强物复合材料的弹性过程并得到了材料整体的弹性常数.当材料基体和增强材料均为各向同性材料,增强材料的体积相对于基体非常地小并与基体紧密相联时,含有扁长椭球形增强物的材料具有各向异性,提高这种材料的杨氏模量是以牺牲剪切模量为代价的.Abstract: The average elastic-plastic behavior of composite materals is discussed.The general formulation of the composite material with prolate spheroid inclusion and with the matrix is shown when the matrix and the inclusion are isotropic materials.The volume of any inclusion is smaller than that of the matrix,and the inclusions fit tightly against the matrix.The overall average Young's modulus,average shear elasticity and average Poisson's ratio of the composite material with prolate spheroid inclusions are shown,and it is proved that this composite material is nonisotropic.The way to increase the average elastic moduli of the composite material is also found.
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Key words:
- elastic modulus /
- composite material /
- poisson’s ratio /
- nonisotropy
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