Void growth in shear
Void growth in shear
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DOI：
10.1098/rspa.1986.0104
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发表时间：
1986-10
期刊：
影响因子：
--
通讯作者：
N. Fleck;J. Hutchinson
中科院分区：
文献类型：
--
作者：
N. Fleck;J. Hutchinson
针对经历简单剪切和叠加静水张力的材料块中包含的空隙，分析孤立空隙的生长。首先讨论了不可压缩的线性粘性固体中二维和三维空隙的尺寸、形状和方向的演变。解决的主要问题是不可压缩的非线性粘性固体中二维圆柱形空隙的行为，其中应变率随着应力的幂而变化。空隙的增长速率及其形状演变是材料非线性程度的强函数。获得了圆形空隙的膨胀率以及空隙势的相对简单的近似公式。含有稀疏分布的圆柱形空隙的材料块的本构关系是使用隔离空隙势直接获得的。本文最后总结了剪切和静水张力组合下空隙和裂缝膨胀率的可用结果。
The growth of an isolated void is analysed for a void contained in a block of material undergoing simple shearing combined with superimposed hydrostatic tension. The evolution of the size, shape and orientation of two- and three-dimensional voids in an incompressible, linearly viscous solid is first discussed. The main problem addressed is the behaviour of a two-dimensional cylindrical void in an incompressible, nonlinearly viscous solid for which the strain rate varies as the stress to a power. The growth rate of the void and its shape evolution are strong functions of the degree of material nonlinearity. Relatively simple approximate formulas are obtained for the dilatation rate of a circular void as well as for the void potential. The constitutive relation of a block of material containing a dilute distribution of circular cylindrical voids is obtained directly using the isolated void potential. The paper concludes with a summary of available results for the dilatation rates of voids and cracks under combinations of shear and hydrostatic tension.