Fracture Mechanics

Analysis and application of peridynamics
Analysis and application of peridynamics
Analysis and application of peridynamics
Nodal finite element approximation of peridynamics
In this work, nodal finite element discretization is detailed.
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NLMech: Implementation of Finite Difference/Meshfree Discretization of Nonlocal Fracture Models
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Peridynamics-Based Discrete Element Method (PeriDEM) Model of Granular Systems Involving Breakage of Arbitrarily Shaped Particles
Usage, manipulation, transport, delivery, and mixing of granular or particulate media, comprised of spherical or polyhedral particles, …
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Nonlocal Elastodynamics and Fracture
A nonlocal field theory of peridynamic type is applied to model the brittle fracture problem. The elastic fields obtained from the …
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Finite Element Approximation of Nonlocal Dynamic Fracture Models
In this work we estimate the convergence rate for time stepping schemes applied to nonlocal dynamic fracture modeling. Here we use the …
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An Asynchronous and Task-Based Implementation of Peridynamics Utilizing HPX—the C++ Standard Library for Parallelism and Concurrency
On modern supercomputers, asynchronous many task systems are emerging to address the new architecture of computational nodes. Through …
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Kinetic Relations and Local Energy Balance for LEFM from a Nonlocal Peridynamic Model
A simple nonlocal field theory of peridynamic type is applied to model brittle fracture. The kinetic relation for the crack tip …
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Finite Element Convergence for State-Based Peridynamic Fracture Models
We establish the a priori convergence rate for finite element approximations of a class of nonlocal nonlinear fracture models. We …
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Complex Fracture Nucleation and Evolution With Nonlocal Elastodynamics
A mechanical model is introduced for predicting the initiation and evolution of complex fracture patterns without the need for a damage …
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