Add to ORKGA nonlocal field theory of peridynamic type is applied to model the brittle fracture problem. The elastic fields obtained from the nonlocal model are shown to converge in the limit of vanishing non-locality to solutions of classic plane elastodynamics associated with a running crack. We carry out our analysis for a plate subject to mode one loading. The length of the crack is prescribed a priori and is an increasing function of time
In this chapter, we consider a generic class of bond-based nonlocal nonlinear potentials and formula...
The derivation of nonlocal strong forms for many physical problems remains cumbersome in traditional...
Peridynamics (PD) is a nonlocal continuum theory based on integro-differential equations without spa...
We formulate a nonlocal cohesive model for calculating the deformation inside a cracking body. In th...
In this discussion, we discuss a new class of models for solving problems of free crack propagation ...
We first introduce a regularized model for free fracture propagation based on non-local potentials. ...
We quantify the numerical error and modeling error associated with replacing a nonlinear nonlocal bo...
In this work, we study the finite difference approximation for a class of nonlocal fracture models. ...
Material failure can be tackled by so-called nonlocal models, which introduce an intrinsic length sc...
A simple nonlocal field theory of peridynamic type is applied to model brittle fracture. The kinetic...
In this work we estimate the convergence rate for time stepping schemes applied to nonlocal dynamic ...
We introduce a regularized model for free fracture propagation based on nonlocal potentials. We work...
Crack propagation and branching are modeled using nonlocal peridynamic theory. One major advantage o...
We consider the nonlocal formulation of continuum mechanics described by peridynamics. We provide a ...
A static meshfree implementation of the bond-based peridynamics formulation for linearly elastic sol...
In this chapter, we consider a generic class of bond-based nonlocal nonlinear potentials and formula...
The derivation of nonlocal strong forms for many physical problems remains cumbersome in traditional...
Peridynamics (PD) is a nonlocal continuum theory based on integro-differential equations without spa...
We formulate a nonlocal cohesive model for calculating the deformation inside a cracking body. In th...
In this discussion, we discuss a new class of models for solving problems of free crack propagation ...
We first introduce a regularized model for free fracture propagation based on non-local potentials. ...
We quantify the numerical error and modeling error associated with replacing a nonlinear nonlocal bo...
In this work, we study the finite difference approximation for a class of nonlocal fracture models. ...
Material failure can be tackled by so-called nonlocal models, which introduce an intrinsic length sc...
A simple nonlocal field theory of peridynamic type is applied to model brittle fracture. The kinetic...
In this work we estimate the convergence rate for time stepping schemes applied to nonlocal dynamic ...
We introduce a regularized model for free fracture propagation based on nonlocal potentials. We work...
Crack propagation and branching are modeled using nonlocal peridynamic theory. One major advantage o...
We consider the nonlocal formulation of continuum mechanics described by peridynamics. We provide a ...
A static meshfree implementation of the bond-based peridynamics formulation for linearly elastic sol...
In this chapter, we consider a generic class of bond-based nonlocal nonlinear potentials and formula...
The derivation of nonlocal strong forms for many physical problems remains cumbersome in traditional...
Peridynamics (PD) is a nonlocal continuum theory based on integro-differential equations without spa...