Fracture Mechanics

Numerical Convergence of Finite Difference Approximations for State-Based Peridynamic Fracture Models
In this work, we study the finite difference approximation for a class of nonlocal fracture models. The nonlocal model is initially …
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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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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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Conference talk: Free damage propagation with memory
This work introduces damage at a bond level in peridynamics
Jul 25, 2018 12:00 AM New York, USA
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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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