Peridynamics method for problems solve of solids destruction

DOI10.15507/2079-6900.24.202204.452-468OpenAlexW4312218057MaRDI QIDQ6046705

Yu. N. Deryugin, Unnamed Author, Unnamed Author

Publication date: 6 October 2023

Published in: Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/svmo844

zbMATH Keywords

continuum mechanicsmolecular dynamicsnonlocal interactionsperidynamicsmesh-free methodfracture modelbond stiffness function

Mathematics Subject Classification ID

Integro-partial differential equations (45K05)

Cites Work

• Deformation of a peridynamic bar
• Implementing peridynamics within a molecular dynamics code
• Convergence of peridynamics to classical elasticity theory
• Reformulation of elasticity theory for discontinuities and long-range forces
• Convergence studies in meshfree peridynamic simulations
• Peridynamic states and constitutive modeling
• Peridynamic Theory and Its Applications
• Handbook of Peridynamic Modeling
• Convergence, adaptive refinement, and scaling in 1D peridynamics