A micropolar peridynamic theory in linear elasticity

被引：44
作者：
Chowdhury, Shubhankar Roy [1 ]
Rahaman, Md. Masiur [1 ]
Roy, Debasish [1 ]
Sundaram, Narayan [1 ]
机构：
[1] Indian Inst Sci, Dept Civil Engn, Bangalore 560012, Karnataka, India
来源：
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES | 2015年 / 59卷
关键词：
Micropolar peridynamics; Length scales; Constitutive correspondence; Timoshenko-type beams; Plane stress problems; PROPAGATION; NONORDINARY; BEAMS;
D O I：
10.1016/j.ijsolstr.2015.01.018
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
A state-based micropolar peridynamic theory for linear elastic solids is proposed. The main motivation is to introduce additional micro-rotational degrees of freedom to each material point and thus naturally bring in the physically relevant material length scale parameters into peridynamics. Non-ordinary type modeling via constitutive correspondence is adopted here to define the micropolar peridynamic material. Along with a general three dimensional model, homogenized one dimensional Timoshenko type beam models for both the proposed micropolar and the standard non-polar peridynamic variants are derived. The efficacy of the proposed models in analyzing continua with length scale effects is established via numerical simulations of a few beam and plane-stress problems. (C) 2015 Elsevier Ltd. All rights reserved.
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收藏
页码：171 / 182
页数：12
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