Objectivity of state-based peridynamic models for elasticity
type: Item
instance of: scholarly article
title: Objectivity of state-based peridynamic models for elasticity
zbMATH Open document ID: 1387.74013
author: Quang Van Le
author: Florin Bobaru
published in: Journal of Elasticity
publication date: 2018-03-01T00:00:00Z
Mathematics Subject Classification ID: 74B05
Mathematics Subject Classification ID: 74A45
Mathematics Subject Classification ID: 74G15
Mathematics Subject Classification ID: 74G65
Mathematics Subject Classification ID: 74G70
zbMATH DE Number: 6845597
zbMATH Keywords: peridynamics
zbMATH Keywords: elasticity
zbMATH Keywords: objectivity
zbMATH Keywords: ordinary state-based formulation
zbMATH Keywords: volume dilatation
zbMATH Keywords: large rotations
MaRDI profile type: Publication
full work available at URL: s10659-017-9641-6
OpenAlex ID: W2617748524
cites work: Peridynamic states and constitutive modeling
cites work: Peridynamic Theory and Its Applications
cites work: A two-dimensionalordinary, state-based peridynamic model for linearly elastic solids
cites work: Reformulation of elasticity theory for discontinuities and long-range forces
cites work: A constitutive model for a linearly elastic peridynamic body
cites work: On the determination of a peridynamic constant in a linear constitutive model
cites work: Viscoplasticity using peridynamics
cites work: Linearized theory of peridynamic states
cites work: A morphing approach to couple state-based peridynamics with classical continuum mechanics
cites work: Peridynamic State-Based Models and the Embedded-Atom Model
cites work: New results in the theory of elasticity for two-dimensional composites
cites work: Force flux and the peridynamic stress tensor
cites work: Convergence, adaptive refinement, and scaling in 1D peridynamics
DOI: 10.1007/S10659-017-9641-6
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description: scientific article; zbMATH DE number 6845597