Wave propagation and dispersion in elasto-plastic microstructured materials

被引:14
作者
Dingreville, Remi [1 ]
Robbins, Joshua [1 ]
Voth, Thomas E. [1 ]
机构
[1] Sandia Natl Labs, Albuquerque, NM 87185 USA
基金
美国能源部;
关键词
Wave dispersion; Wave propagation; Mindlin continuum; Micromorphic; Hardening materials; DYNAMIC DEFORMATION; COMPOSITE-MATERIALS; HOMOGENIZATION; LOCALIZATION; BEHAVIOR; SOLIDS; IMPACT; MEDIA; SCALE;
D O I
10.1016/j.ijsolstr.2014.02.030
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
A Mindlin continuum model that incorporates both a dependence upon the microstructure and inelastic (nonlinear) behavior is used to study dispersive effects in elasto-plastic microstructured materials. A one-dimensional equation of motion of such material systems is derived based on a combination of the Mindlin microcontinuum model and a hardening model both at the macroscopic and microscopic level. The dispersion relation of propagating waves is established and compared to the classical linear elastic and gradient-dependent solutions. It is shown that the observed wave dispersion is the result of introducing microstructural effects and material inelasticity. The introduction of an internal characteristic length scale regularizes the ill-posedness of the set of partial differential equations governing the wave propagation. The phase speed does not necessarily become imaginary at the onset of plastic softening, as it is the case in classical continuum models and the dispersive character of such models constrains strain softening regions to localize. (C) 2014 Elsevier Ltd. All rights reserved.
引用
收藏
页码:2226 / 2237
页数:12
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