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peridynamics (9) 9
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mathematics, interdisciplinary applications (7) 7
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Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, 12/2014, Volume 282, pp. 184 - 217
Journal Article
Journal Article
Computational Materials Science, ISSN 0927-0256, 01/2013, Volume 66, pp. 34 - 49
► A novel method for coupling concurrent local/nonlocal models is presented. ► The method is based on the peridynamics modeling framework. ► The proposed... 
Patch test | Newton’s third law | Atomistic-to-continuum coupling method | Multiscale modeling | Blending methods | Newton's third law | CONTINUUM MODELS | PARTICLE | MATERIALS SCIENCE, MULTIDISCIPLINARY | CONVERGENCE | ADAPTIVE REFINEMENT
Journal Article
Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, 10/2018, Volume 340, Issue C, pp. 1044 - 1078
Journal Article
Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, 11/2013, Volume 266, pp. 185 - 204
Journal Article
International Journal for Multiscale Computational Engineering, ISSN 1543-1649, 2011, Volume 9, Issue 6, pp. 689 - 706
The influence function in the peridynamic theory is used to weight the contribution of all the bonds participating in the computation of volume-dependent... 
Nonlocal | Influence function | Peridynamics | nonlocal | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | ENGINEERING, MULTIDISCIPLINARY | MODELS | CONVERGENCE | influence function | peridynamics
Journal Article
International Journal for Multiscale Computational Engineering, ISSN 1543-1649, 2015, Volume 13, Issue 2, pp. 91 - 113
Journal Article
Communications in Computational Physics, ISSN 1815-2406, 01/2014, Volume 15, Issue 1, pp. 179 - 205
We investigate connections between nonlocal continuum models and molecular dynamics. A continuous upscaling of molecular dynamics models of the form of the... 
Molecular dynamics | Embedded-atom | Peridynamics | Multibody potentials | DERIVATION | ORDER | multibody potentials | CONTINUUM MODELS | embedded-atom | FCC METALS | molecular dynamics | PHYSICS, MATHEMATICAL
Journal Article
MULTISCALE MODELING & SIMULATION, ISSN 1540-3459, 2009, Volume 8, Issue 1, pp. 204 - 227
Peridynamics is a formulation of continuum mechanics based on integral equations. It is a nonlocal model, accounting for the effects of long-range forces.... 
DERIVATION | DISCRETE MEDIA | DISPERSION | LONG-RANGE FORCES | molecular dynamics | PHYSICS, MATHEMATICAL | NONLINEAR ELASTICITY | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | CONTINUOUS MODELS | CONVERGENCE | GRANULAR MATERIAL | upscaling | GRADIENT CONTINUUM-THEORIES | higher-order gradient | peridynamics | WAVE-PROPAGATION | Studies | Molecular structure | Models
Journal Article
Journal of Mechanics of Materials and Structures, ISSN 1559-3959, 2015, Volume 10, Issue 5, pp. 591 - 612
A notion of material homogeneity is proposed for peridynamic bodies with variable horizon but constant bulk properties. A relation is derived that scales the... 
Elasticity | Nonlocality | Peridynamics | Local-nonlocal coupling | nonlocality | local-nonlocal coupling | MECHANICS | elasticity | MATERIALS SCIENCE, MULTIDISCIPLINARY | CONVERGENCE | peridynamics | MATERIALS SCIENCE | local–nonlocal coupling
Journal Article
Communications in Computational Physics, ISSN 1815-2406, 04/2010, Volume 7, Issue 4, pp. 831 - 876
Several issues connected with bridging methods for atomistic-to-continuum (AtC) coupling are examined. Different coupling approaches using various energy... 
Atomistic-to-continuum coupling | Multiscale modeling | Boundary treatment | PARTICLE | LENGTH SCALES | boundary treatment | MODEL | PHYSICS, MATHEMATICAL | atomistic-to-continuum coupling
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 11/2019, p. 109075
Journal Article
01/2010, ISBN 9781124680590
This dissertation focuses on the nonlocal continuum peridynamics model for the mechanics of materials, related constitutive models, its connections to... 
Mechanics | Applied Mathematics | Materials science
Dissertation
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