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arXiv 0811.3667physics.optics
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某些双各向异性层合复合材料有效本构参数的约束条件

Constraints on effective constitutive parameters of certain bianisotropic laminated composite materials

A. Lakhtakia

摘要:

当层压复合材料的电薄单元电池由厚度方向上的本构性质与界面平面中的本构性质解耦的两个双各向异性片材制成时,层压复合材料可以被均匀化为并非所有本构参数都彼此独立的材料。构成材料和均质化复合材料的本构二元体的这种非独立性由两个简单的约束捕获,如果两种构成材料中的甚至一种具有比上述更复杂的本构性质,则这可能不成立。

英文摘要:

When the electrically thin unit cell of a laminated composite material is made of two bianisotropic sheets whose constitutive properties in the thickness direction are decoupled from the constitutive properties in the interfacial planes, the laminated composite material can be homogenized into a material not all of whose constitutive parameters are independent of each other. This non-independence of the constitutive dyadics of the constituent materials and the homogenized composite material is captured by two simple constraints, which may not hold if even one of the two constituent materials has more complicated constitutive properties than stated above.

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