On the equivalent inclusion method and impotent eigenstrains

On the equivalent inclusion method and impotent eigenstrains
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关于等效包含法和无效特征应变

DOI:
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发表时间:
1979
期刊:
影响因子:
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通讯作者:
T. Mura
T. Mura
中科院分区:
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文献类型:
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作者:
R. Furuhashi;T. Mura

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研究了用夹杂本征应变来模拟应力作用下的夹杂时的等效方程及其解的性质。当夹杂不存在且外加应力为一次坐标多项式时,得到等效本征应变的等效方程组变为奇异。等价方程组的解不是唯一确定的。显式表达式给出的幂等本征应变不产生任何应力场整个材料。
The equivalency equations and the nature of the solution are investigated when an inhomogeneity under applied stresses is simulated by an inclusion with eigenstrains. The equivalency equations by which the equivalent eigenstrain is obtained becomes singular when the inhomogeneity is void and the applied stress has a form of polynomials of coordinates of degree one. The solutions of the system of the equivalency equations are not uniquely determined. Explicit expressions are given for the impotent eigenstrains which do not generate any stress field throughout a material.