Cubic elasticity and stress distribution at the free surface of polycrystals

Cubic elasticity and stress distribution at the free surface of polycrystals
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DOI:
10.1016/j.actamat.2006.09.035
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发表时间:
2007-02-01
期刊:
影响因子:
9.4
通讯作者:
Sauzay, Maxime
Sauzay, Maxime
中科院分区:
材料科学1区
文献类型:
--
作者:
Sauzay, Maxime

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在多晶微塑性机制的研究中,晶体弹性各向异性经常被忽视,即使对于铜和奥氏体等高度各向异性的金属也是如此。提出了立方弹性对三维多晶自由表面应力分布影响的有限元评估。考虑到通常研究的各向异性程度较高的金属(铝、镍、奥氏体、铜)。对于各向异性金属,有效施密德因子的分布(在有或没有相邻晶粒效应的情况下计算的晶粒平均解析剪切应力与宏观拉应力之间的比率)相对于评估各向同性弹性的参考分布进行了强烈修改。轴向应力的内取向分散(由于相邻晶粒的随机晶体取向引起的分散)高于取向间分散(由于晶粒本身的取向引起的分散)。最后,通过与散装颗粒的估计值进行比较来讨论自由表面效应。 (c) 2006 Acta Materialia Inc. 由 Elsevier Ltd 出版。保留所有权利。
Crystalline elasticity anisotropy is often neglected in the study of microplasticity mechanisms of polycrystals, even for highly anisotropic metals such as copper and austenite. A finite element evaluation of the effect of cubic elasticity on the stress distribution at the free surface of three-dimesional polycrystals is presented. Commonly studied metals presenting an increased degree of anisotropy are considered (aluminum, nickel, austenite, copper). For anisotropic metals, the distributions of the effective Schmid factors (ratios between the grain mean resolved shear stress computed either with or without neighboring grain effects and the macroscopic tensile stress) are strongly modified with respect to the reference distribution evaluated for isotropic elasticity. The intra-orientation scatters in the axial stress (scatter due to the random crystallographic orientations of the neighboring grains) are higher than the inter-orientation ones (scatter due to the orientation of the grain itself). Finally, free surface effects are discussed by comparing with estimates obtained for bulk grains. (c) 2006 Acta Materialia Inc. Published by Elsevier Ltd. All rights reserved.