VISCOELASTIC CONSTITUTIVE LAW AS AN ASYMPTOTIC BEHAVIOR IN THE HOMOGENIZATION METHOD FOR SOLID-FLUID MIXTURES

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  • 固体一流体混合体の均質化理論における漸近挙動としての粘弾性構成則

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The mechanical behaviors of solid-fluid mixtures are characterized by using the homogenization method which is based on the method of two-scale asymptotic expansions. The asymptotic behavior reflects the features of periodic microstructures where the constitutive relations for solid and fluid phases are separately defined and is recognized as that for linear viscoelasticity. The result is due to the present choice of the so-called effective parameters and clarifies the roles of individual phases in the mechanical behaviors of an overall structure. In addition to the new interpretation about the initial conditions for viscoelasticity problems, the present developments and several numerical simulations will provide insight into variety of engineering problems regarding to solid-fluid coupled systems.

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