Chapter

Dynamic Brittle Fracture from Nonlocal Double-Well Potentials: A State-Based Model
We introduce a regularized model for free fracture propagation based on nonlocal potentials. We work within the small deformation …
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Dynamic Damage Propagation with Memory: A State-Based Model
A model for dynamic damage propagation is developed using nonlocal potentials. The model is posed using a state-based peridynamic …
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Finite Differences and Finite Elements in Nonlocal Fracture Modeling: A Priori Convergence Rates
In this chapter we present a rigorous convergence analysis of finite difference and finite element approximation of nonlinear nonlocal …
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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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