2018
DOI: 10.1590/1679-78254337
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Boundary Layer Effects in a Finite Linearly Elastic Peridynamic Bar

Abstract: The peridynamic theory is an extension of the classical continuum mechanics theory. The peridynamic governing equations involve integrals of interaction forces between near particles separated by finite distances. These forces depend upon the relative displacements between material points within a body. On the other hand, the classical governing equations involve the divergence of a tensor field, which depends upon the spatial derivatives of displacements. Thus, the peridynamic governing equations are valid no… Show more

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Cited by 5 publications
(3 citation statements)
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“…Aguiar et al [10] investigated the behavior of the displacement field near the ends of a peridynamic bar and found that depending on the micromodulus, the displacement field could become unbounded near the bar ends.…”
Section: Introductionmentioning
confidence: 99%
“…Aguiar et al [10] investigated the behavior of the displacement field near the ends of a peridynamic bar and found that depending on the micromodulus, the displacement field could become unbounded near the bar ends.…”
Section: Introductionmentioning
confidence: 99%
“…Aguiar et al [12] investigated the behavior of the displacement field near the ends of a peridynamic bar and found that depending on the micromodulus, the displacement field could become unbounded near the bar ends.…”
Section: Introductionmentioning
confidence: 99%
“…One of the significant features of the peridynamic approach is that it allows for spontaneous formation, interaction, and growth of discontinuities in a consistent framework (Xu et al 2008). Using this theory, promising results have been attained in elastic bar (Aguiar et al 2018) dynamic brittle fracture in glass Bobaru 2010, 2011;Bobaru and Ha 2011;Hu et al 2013), fiber-reinforced composites (Ghajari et al 2014;Hu et al 2012), functionally graded materials (Cheng et al 2015) and corrosion damage (Chen and Bobaru 2015;Chen et al 2016).…”
Section: Introductionmentioning
confidence: 99%