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International Journal for Multiscale Computational Engineering
Импакт фактор: 1.016 5-летний Импакт фактор: 1.194 SJR: 0.554 SNIP: 0.68 CiteScore™: 1.18

ISSN Печать: 1543-1649
ISSN Онлайн: 1940-4352

Выпуски:
Том 17, 2019 Том 16, 2018 Том 15, 2017 Том 14, 2016 Том 13, 2015 Том 12, 2014 Том 11, 2013 Том 10, 2012 Том 9, 2011 Том 8, 2010 Том 7, 2009 Том 6, 2008 Том 5, 2007 Том 4, 2006 Том 3, 2005 Том 2, 2004 Том 1, 2003

International Journal for Multiscale Computational Engineering

DOI: 10.1615/IntJMultCompEng.2018022670
pages 1-18

EFFECTIVE ELASTIC MODULUS OF PERISTATIC BAR WITH PERIODICALLY DISTRIBUTED DAMAGE

Valeriy A. Buryachenko
Civil Engineering Department, University of Akron, Akron, Ohio 44325-3901, USA and Micromechanics and Composites LLC, 2520 Hingham Lane, Dayton, Ohio 45459, USA

Краткое описание

A basic concept in engineering design is a damage theory which is obtained as a physically natural justification in the framework of peridynamics. The basic feature of the peridynamic model considered is a continuum description of a material behavior as the integrated nonlocal force interactions between infinitesimal material points. In contrast to the classical theories, the peridynamic equation of motion introduced by Silling is free of any spatial derivatives of displacements. The material points interact with each other directly across finite distances through central forces known as "bonds". The damage concept is introduced by permitting these bonds to break irreversibly. A peristatic bar with periodically distributed damage is analyzed by a generalization of the classical locally elastic computational homogenization to its peristatic counterpart. One introduces the new volumetric periodic boundary conditions at the interaction boundary of a representative unit cell whose local limit implies the known locally elastic periodic boundary conditions. The applicability of local elasticity theory is demonstrated for description of effective elastic behavior of this bar. Estimation of the effective moduli of a damaged medium (initially homogeneous) as the functions of the local damage, damage functions, and micromodulus profiles are obtained. One analyzes either the translation invariant damage functions or non-translation-invariant ones (which can be considered as a model of damage localization).


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