SOLIDS WITH PERIODICALLY DISTRIBUTED CRACKS
SOLIDS WITH PERIODICALLY DISTRIBUTED CRACKS
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DOI：
10.1016/0020-7683(93)90052-9
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发表时间：
1993-01-01
影响因子：
3.6
通讯作者：
HORI, M
中科院分区：
文献类型：
--
作者：
NEMATNASSER, S;YU, N;HORI, M
提出了一种估计具有周期性分布裂纹的固体整体性能的系统方法。考虑到裂纹固体的周期性，裂纹固体的位移场、应变场和应力场可以用傅里叶级数表示。首先考虑具有周期性分布的扁平空隙的弹性固体。然后通过让空隙的厚度纵横比接近零来获得裂纹的结果。这个限制过程是小心执行的。所涉及的唯一近似是均匀化特征应变的分布，它被假定为分段常数。整体弹性模量、裂纹张开位移和应力强度因子的估计最终归结为几个无穷级数的计算。该公式适用于椭圆型裂纹、二维线状裂纹和任意形状的裂纹。它充分包含了交互效应。
A systematic method is presented for estimating the overall properties of solids with periodically distributed cracks. In view of the periodicity, the displacement, strain and stress fields of the cracked solid can be expressed in Fourier series. Elastic solids with periodically distributed flat voids are considered first. The results for cracks are then obtained by letting the thickness aspect ratio of the void approach zero. This limiting process is performed with care. The only approximation involved is the distribution of the homogenization eigenstrains, which is assumed to be piecewise constant. The estimate of overall elastic moduli, crack opening displacements and stress intensity factors eventually reduces to the calculation of several infinite series. The formulation is valid for elliptic as well as two-dimensional line (slit-like) cracks, and cracks with arbitrary shapes. It fully includes the interaction effects.