当前位置: X-MOL 学术Int. J. Plasticity › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Homogenization and localization of elastic-plastic nanoporous materials with Gurtin-Murdoch interfaces: an assessment of computational approaches
International Journal of Plasticity ( IF 9.8 ) Pub Date : 2020-01-01 , DOI: 10.1016/j.ijplas.2019.08.004
Qiang Chen , Marek-Jerzy Pindera

Abstract This paper critically examines the predictive capabilities of three computational approaches for the elastic-plastic response of nanoporous materials with energetic surfaces simulated with the Gurtin-Murdoch coherent interface model. These approaches involve the classical composite cylinder assemblage model, and the finite-element and generalized finite-volume homogenization theories. Exact elastic-plastic solution to the composite cylinder assemblage under axisymmetric loading is obtained analytically such that all the governing differential equations are satisfied exactly. Hence it is used as gold standard in assessing the predictive capability of the newly developed generalized finite-volume theory with surface and plasticity effects, as well as a comparable finite-element approach, under axisymmetric loading and porosity volume fractions for which pore interactions are small. The assessment includes homogenized response and local stress and plastic strain fields, as well as solution stability issues for surfaces with negative strain energies that limit the range of pore radii and volume fractions of nanoporous materials that may be analyzed. The effect of surface elasticity is shown to be magnified in the elastic-plastic region. Anomalous homogenized response that results from the use of the elastic Gurtin-Murdoch model which impacts limit surface calculations is highlighted. The generalized finite-volume theory is shown to exhibit larger range of pore radii relative to the finite-element based homogenization wherein stable solutions are obtained under both axisymmetric and asymmetric loading of hexagonal and square arrays of porosities with negative strain energies.

中文翻译:

具有 Gurtin-Murdoch 界面的弹塑性纳米多孔材料的均质化和定位:计算方法的评估

摘要 本文批判性地研究了三种计算方法的预测能力,用于使用 Gurtin-Murdoch 相干界面模型模拟具有高能表面的纳米多孔材料的弹塑性响应。这些方法涉及经典的复合圆柱组合模型,以及有限元和广义有限体积均匀化理论。解析得到轴对称载荷下复合圆柱组合的精确弹塑性解,使得所有控制微分方程都完全满足。因此,它被用作评估新开发的具有表面和塑性效应的广义有限体积理论以及可比较的有限元方法的预测能力的黄金标准,在轴对称载荷和孔隙体积分数下,孔隙相互作用很小。评估包括均匀响应和局部应力和塑性应变场,以及具有负应变能的表面的溶液稳定性问题,这些问题限制了可以分析的纳米多孔材料的孔隙半径和体积分数的范围。表面弹性的影响在弹塑性区域被放大。突出显示了由于使用影响极限表面计算的弹性 Gurtin-Murdoch 模型而产生的异常均匀响应。
更新日期:2020-01-01
down
wechat
bug