Mechanics

Well-Posed Nonlinear Nonlocal Fracture Models Associated with Double-Well Potentials
In this chapter, we consider a generic class of bond-based nonlocal nonlinear potentials and formulate the evolution over suitable …
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Free Damage Propagation With Memory
We introduce a simple model for free damage propagation based on non-local potentials. The model is developed using a state based …
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Numerical Convergence of Nonlinear Nonlocal Continuum Models to Local Elastodynamics
We quantify the numerical error and modeling error associated with replac- ing a nonlinear nonlocal bond-based peridynamic model with a …
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Numerical Analysis of Nonlocal Fracture Models in Holder Space
In this work, we calculate the convergence rate of the finite difference approximation for a class of nonlocal fracture models. We …
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