鉄道用バラスト材の繰り返し変形解析のための時間域均質化法定式化

抄録

The time-domain homogenization method for hypoplastic elastoplastic model is formulated for cyclic defor-mation analysis of railway ballast, and its numerical algorithm for stress analysis is developed. The multiple temporal scales of the stress, strain and void ratio are introduced, and the original constitutive equations are decomposed into coupled micro-chronological and macro-chronological equations using asymptotic anal-ysis. Accuracy of the simulated macro-chronological strain, corresponds to the accumulated permanent strain induced by cyclic loading, depends on the approximation of the time derivatives of temporal averages of micro-chronological response.