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A peridynamic theory for linear elastic shells

Chowdhury, Shubhankar Roy and Roy, Pranesh and Roy, Debasish and Reddy, JN (2016) A peridynamic theory for linear elastic shells. In: INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 84 . pp. 110-132.

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Official URL: http://dx.doi.org/10.1016/j.ijsolstr.2016.01.019

Abstract

A state-based peridynamic formulation for linear elastic shells is presented. The emphasis is on introducing, possibly for the first time, a general surface based peridynamic model to represent the deformation characteristics of structures that have one geometric dimension much smaller than the other two. A new notion of curved bonds is exploited to cater for force transfer between the peridynamic particles describing the shell. Starting with the three dimensional force and deformation states, appropriate surface based force, moment and several deformation states are arrived at. Upon application on the curved bonds, such states yield the necessary force and deformation vectors governing the motion of the shell. By incorporating a shear correction factor, the formulation also accommodates analysis of shells that have higher thickness. In order to attain this, a consistent second order approximation to the complementary energy density is considered and incorporated in peridynamics via constitutive correspondence. Unlike the uncoupled constitution for thin shells, a consequence of a first order approximation, constitutive relations for thick shells are fully coupled in that surface wryness influences the in-plane stress resultants and surface strain the moments. Our proposal on the peridynamic shell theory is numerically assessed against simulations on static deformation of spherical and cylindrical shells, that of flat plates and quasi-static fracture propagation in a cylindrical shell. (C) 2016 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: Peridynamic shell; Curved bond; Surface based state; Shear correction; Constitutive correspondence; Crack propagation
Department/Centre: Division of Mechanical Sciences > Civil Engineering
Depositing User: Id for Latest eprints
Date Deposited: 11 May 2016 05:24
Last Modified: 11 May 2016 05:24
URI: http://eprints.iisc.ac.in/id/eprint/53762

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