周期的内部構造を有する複合材料の時間依存変形に対する均質化理論

概要

論文の詳細を見る
A homogenization theory for rate dependent deformation such as creep and viscoplastic deformation of composites with periodic internal structures is described. The first-order perturbation of displacement rate is decomposed into elastic and viscous parts. Then, a constitutive equation between macro-stress and strain rates and an evolution equation of micro-stress are expressed in terms of Y-periodic functions appearing in the elastic and viscous parts, and two-unit cell problems for determination of the Y-periodic functions are formulated. An incremental formulation of the theory is also given. The theory is effective for problems in which either macro-stress or macrostrain, or a mixture of the two, is prescribed. As an application of the theory, transverse creep of metal matrix composites reinforced unidirectionally with continuous fibers is analyzed by solving the unit cell problems discretized with finite elements.
一般社団法人日本機械学会の論文
1997-09-25