Position and size effects on voids growth in nonlinear elasticity

Position and size effects on voids growth in nonlinear elasticity
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位置和尺寸对非线性弹性中空隙增长的影响

DOI:
10.1007/s10704-011-9674-y
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发表时间:
2012-01
期刊:
Internatinal Journal of Fracture
影响因子:
--
通讯作者:
Zhiping Li
Zhiping Li
中科院分区:
其他
文献类型:
--
作者:
Yijiang Lian;Zhiping Li

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对膨胀边界条件下二维非线性超弹性圆柱体中多孔洞的生长进行了数值研究。对于某些可压缩超弹性材料,我们对两个空洞的情况下的数值实验表明,预先存在的空洞的位置和初始尺寸可以有显着的影响,最终生长的配置。我们发现,对于宏观尺度的初始空隙,这两个因素以连续的方式影响最终结果,并且通常观察到两个尺寸相当的生长空隙,而对于介观尺度的初始空隙,尺寸效应不再是连续的,并且其中一个生长空隙总是明显大于另一个。而对于微观尺度的初始空洞,位置效应对空洞生长基本上是决定性的,并且位于中心的空洞总是生长得快得多。我们还发现,如果材料的可压缩性较低,或负载,较小的主应力与两个空隙对齐,是不对称的尺寸和位置的影响更强。
Numerical studies of multiple voids growth are carried out on a nonlinear hyper-elastic 2D cylinder subjected to an expansionary boundary condition. For certain compressible hyper-elastic material, our numerical experiments on the case of two voids revealed that both the positions and initial sizes of the pre-existing voids can have significant effects on the final grown configuration. We found that, for the initial voids of macroscopic scale both factors affect the final result in a continuous manner and two grown voids of comparable size are commonly observed, and for the initial voids of mesoscopic scale the size effect is no longer continuous and one of the grown voids is always found significantly greater than the other, while for the initial voids of microscopic scale the position effect is essentially decisive on the voids growth and the center positioned void always grows much more rapidly. We also found that the size and position effects are stronger if the material is less compressible, or the load, with the smaller principle stress in alignment with the two voids, is less symmetric.
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