Peridynamics for Material Failure
Abstract not provided.
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Jump to search filtersThe Peridynamic Nonlocal Continuum Theory
Abstract not provided.
Peridynamic nonlocal mechanics
Abstract not provided.
ANALYSIS OF THE VOLUME-CONSTRAINED PERIDYNAMIC NAVIER EQUATION OF LINEAR ELASTICITY
Proposed for publication in Journal of Elasticity.
A New Approach for a Nonlocal Nonlinear Conservation Law
Abstract not provided.
Eigensolvers on HPC Platforms
Abstract not provided.
Peridynamics for Material Failure
Abstract not provided.
Peridynamics: a nonlocal continuum theory
Abstract not provided.
Computing the exit-time for a symmetric jump process
Proposed for publication in Journal of Computational Physics.
Abstract not provided.
Peridynamics with LAMMPS : a user guide
Peridynamics is a nonlocal extension of classical continuum mechanics. The discrete peridynamic model has the same computational structure as a molecular dynamics model. This document provides a brief overview of the peridynamic model of a continuum, then discusses how the peridynamic model is discretized within LAMMPS. An example problem is also included.
A Tutorial on Anasazi and Belos
Abstract not provided.
Statistical mechanical foundation of the peridynamic nonlocal continuum theory: Energy and momentum conservation laws
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
The purpose of this paper is to derive the energy and momentum conservation laws of the peridynamic nonlocal continuum theory using the principles of classical statistical mechanics. The peridynamic laws allow the consideration of discontinuous motion, or deformation, by relying on integral operators. These operators sum forces and power expenditures separated by a finite distance and so represent nonlocal interaction. The integral operators replace the differential divergence operators conventionally used, thereby obviating special treatment at points of discontinuity. The derivation presented employs a general multibody interatomic potential, avoiding the standard assumption of a pairwise decomposition. The integral operators are also expressed in terms of a stress tensor and heat flux vector under the assumption that these fields are differentiable, demonstrating that the classical continuum energy and momentum conservation laws are consequences of the more general peridynamic laws. An important conclusion is that nonlocal interaction is intrinsic to continuum conservation laws when derived using the principles of statistical mechanics. © 2011 American Physical Society.
A New Approach to Nonlocal Advection
Abstract not provided.
A New Model for Nonlocal Advection
Abstract not provided.
The statistical mechanical foundation of the peridynamic nonlocal continuum theory: energy and momentum conservation laws
Physical Review E
Abstract not provided.
Graph and Nonlocal Laplacians
Abstract not provided.
A New Approach to Nonlocal Advection
Abstract not provided.
Recent Developments in Peridynamics
Abstract not provided.
APPLICATION OF A NONLOCAL VECTOR CALCULUS TO THE ANALYSIS OF LINEAR PERIDYNAMIC MATERIALS
Multiscale Modeling and Simulation
Abstract not provided.
An Approach to Nonlocal Nonlinear Advection
SIAM Journal on Applied Mathematics
Abstract not provided.
ANALYSIS AND APPROXIMATION OF NONLOCAL DIFFUSION PROBLEMS WITH VOLUME CONSTRAINTS
SIAM Review
Abstract not provided.
A Model for Nonlocal Advection
Abstract not provided.
An approach to nonlocal nonlinear advection
Multiscale Modeling and Simulation
Abstract not provided.
The Statistical Mechanical Foundations of Peridynamics: Momentum and Energy Conservation Laws
Physical Review E
Abstract not provided.
Continuous Time Random Walks on Bounded Domains
Physical Review E
Abstract not provided.
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