Deformations of infinite slabs of non-linear viscoelastic solids containing an elliptic hole
Deformations of infinite slabs of non-linear viscoelastic solids containing an elliptic hole
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包含椭圆孔的非线性粘弹性固体无限板的变形
DOI：
10.1007/s11012-016-0539-3
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发表时间：
2016
期刊：
影响因子：
2.7
通讯作者：
K. Kannan
中科院分区：
文献类型：
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作者：
P. Alagappan;K. Rajagopal;K. Kannan
本文研究了含椭圆孔的非线性粘弹性固体无限大弹性板在单轴和双轴应力作用下的应力和应变状态。几何学提供了一个得到一些关于应力和应变状态的物体包含一个裂纹通过获得的限制的解决方案的纵横比（在这种情况下，短轴的比长轴）的椭圆趋于零的暗示。我们考虑两类非线性粘弹体，经典的不可压缩Kelvin-Voigt固体（Thomson in R Soc Lond 14：289-297，1865; Voigt in Ann Phys 283（12）：671-693，1892）和Gent的可压缩模型的推广（Rubber Chem Technol 69（1）：59-61，1996）。为了比较，我们还研究了带有椭圆孔的非线性neo-Hookean弹性固体的情况。
In this paper we study the state of stress and strain in infinite elastic slabs of nonlinear viscoelastic solids containing elliptic holes subject to an uni-axial as well as a bi-axial state of stress. The geometry affords one to get some inkling concerning the states of stress and strain in bodies containing a crack by obtaining the limit of the solutions as the aspect ratio (in this case the ratio of the minor axis to the major axis) of the ellipse tends to zero. We consider two classes of non-linear viscoelastic bodies, the classical incompressible Kelvin–Voigt solid (Thomson in R Soc Lond 14:289–297, 1865; Voigt in Ann Phys 283(12):671–693, 1892) and a generalization of a compressible model due to Gent (Rubber Chem Technol 69(1):59–61, 1996). We also study for the sake of comparison the case of a nonlinear neo-Hookean elastic solid with an elliptic hole.
关于识别一类聚合物材料损坏起始的可能方法
DOI：
10.1098/rspa.2016.0231
发表时间：
2016
期刊：
Physical and Engineering Sciences
影响因子：
--
作者：
Alagappan, P.;Kannan, K.;Rajagopal, K. R.
通讯作者：
Rajagopal, K. R.