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A micropolar peridynamic theory in linear elasticity

Chowdhury, Shubhankar Roy and Rahaman, Masiur Md and Roy, Debasish and Sundaram, Narayan (2015) A micropolar peridynamic theory in linear elasticity. In: INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 59 . pp. 171-182.

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Official URL: http://dx.doi.org/10.1016/j.ijsolstr.2015.01.018

Abstract

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.

Item Type: Journal Article
Additional Information: Copy right for this article belongs to the PERGAMON-ELSEVIER SCIENCE LTD, THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND
Keywords: PROPAGATION; NONORDINARY; BEAMS
Department/Centre: Division of Mechanical Sciences > Civil Engineering
Depositing User: Id for Latest eprints
Date Deposited: 28 Apr 2015 07:18
Last Modified: 28 Apr 2015 07:18
URI: http://eprints.iisc.ac.in/id/eprint/51417

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