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finite difference approximation

Numerical convergence of finite difference approximations for state based peridynamic fracture models

Submitted by Prashant K. Jha on

Prashant K. Jha and Robert Lipton

Computer Methods in Applied Mechanics and Engineering, 2019. 

https://doi.org/10.1016/j.cma.2019.03.024

 

Highlights

1. Well-posedness of a general nonlinear state based peridynamic models.

2. A priori numerical convergence rate for finite difference approximations of state based peridynamic models.

3. Numerical verification of convergence rate for samples with growing cracks.