母材クリープを有する一方向繊維強化複合材の繊維応力分布解析に対する変分法(<小特集>:非弾性挙動の力学)

概要

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In this paper, a variational method is developed for analyzing the matrix creep induced change of fiber stress profiles in unidirectional composites. A functional of admissible profiles of fiber stress is first presented by supposing a broken fiber in matrix as well as a fiber pulled out from matrix. The functional is shown to have the stationary function satisfying a rate-type differential equation based on a shear lag theory. Then, the stationary function is determined approximately at every moment by assuming bilinear profiles of fiber stress and a power law of matrix creep, leading to an analytical solution for the time-dependent increase of a stress transfer length. The analytical solution is compared with finite difference computations based on the shear lag model and with an experiment performed by the present authors using a single carbon fiber/acryl model composite. Thus, the effects of matrix creep, matrix shear rigidity, and interfacial slip on the stress transfer length are discussed, and it is shown that the solution has a good agreement with the experiment if interfacial slip is taken into account.
社団法人日本機械学会の論文
2000-03-25