Implementation

  • Birner, Matthias, et al. “A fracture multiscale model for peridynamic enrichment within the partition of unity method.” Advances in Engineering Software 176 (2023): 103360. arXiv:2108.02336
  • Diehl, Patrick, and Robert Lipton. “Quasistatic fracture using nonlinear‐nonlocal elastostatics with explicit tangent stiffness matrix.” International Journal for Numerical Methods in Engineering 123.18 (2022): 4183-4208. https://doi.org/10.31224/osf.io/3je6b
  • Jha et al., (2021). NLMech: Implementation of finite difference/meshfree discretization of nonlocal fracture models. Journal of Open Source Software, 6(65), 3020,10.21105/joss.03020
  • P. Diehl, P. K. Jha, H. Kaiser, R. Lipton, and M. Lévesque. An asynchronous and task-based implementation of peridynamics utilizing hpx—the C++ standard library for parallelism and concurrency. SN Applied Sciences, 2(12):2144, 2020, 10.1007/s42452-020-03784-x, Preprint.
  • Jha, PK, Lipton R. “Numerical convergence of finite difference approximations for state based peridynamic fracture models.” Computer Methods in Applied Mechanics and Engineering, 1 July 2019, 351(1), 184 - 225. Link
  • P. Gadikar, P. Diehl and P. Jha, “Load balancing for distributed nonlocal models within asynchronous many-task systems,” in 2021 IEEE International Parallel and Distributed Processing Symposium Workshops (IPDPSW), Portland, OR, USA, 2021 pp. 669-678. 10.1109/IPDPSW52791.2021.00103, Preprint

Applications

  • Lipton RP, Lehoucq RB, Jha PK. “Complex fracture nucleation and evolution with nonlocal elastodynamics”. Journal of Peridynamics and Nonlocal Modeling. 2019:1-9. Link
  • Lipton RP, Said E, Jha PK.”Free damage propagation with memory”. Journal of Elasticity, 14 March 2018, 133(2), 129-153. Link
  • Jha PK, Lipton RP. Kinetic relations and local energy balance for LEFM from a nonlocal peridynamic model. International Journal of Fracture. 2020 Sep 5:1-5. Link
  • Bhattacharya, Debdeep, Patrick Diehl, and Robert P. Lipton. “Peridynamics for quasistatic fracture modeling.” ASME International Mechanical Engineering Congress and Exposition. Vol. 85680. American Society of Mechanical Engineers, 2021. 10.1115/IMECE2021-70793, Preprint