K-0632 薄膜被覆繊維の応力場の二重介在物法による近似解析(S06-1 膜質の応力解析とキャラクタリゼーション)(S06 コーティング材の力学特性と損傷機構)

概要

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A thin-coated ellipsoidal short fiber in an infinite body is modeled by a double inclusion which consists of a nested sequence of two inclusions whose elastic constants are different both from that of a matrix and from each other. By adopting the double inclusion method proposed by Hori and Nemat-Nasser to the present model, the volume averages of stresses induced in and around the fiber under the uniaxial external stress are calculated and compared with the exact value obtained by Mikata and Taya. The present values of the volume average of the stress taken over the thin-coat layer are good agreement with the exact ones at the equators of the thin-coat layer. Moreover, by using Mori-Tanaka's theorem, the equivalent expression for the case that their are many double inclusions in the matrix is derived and the expression of the stresses in and around the fiber are derived as a function of the volume fraction of thin-coated fibers. These stresses decrease with increase in the volume fraction of thin-coated fibers.
社団法人日本機械学会の論文
2001-08-22