期刊
INTERNATIONAL JOURNAL OF PLASTICITY
卷 124, 期 -, 页码 42-70出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijplas.2019.08.004
关键词
Nanoporous materials; Surface effects; Classical micromechanics; Finite-volume and finite-element based homogenization; Elastic-plastic response; Local stress fields; Stability
资金
- China Scholarship Council
- National Natural Science Foundation of China [51605365, 51505364]
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.
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