Influence function in the continuum model of peridynamics

Title	Influence function in the continuum model of peridynamics
Authors	Y. N. Deryugin¹, D. A. Shishkanov¹ ¹National Research Mordovia State University
Annotation	The paper presents a study of the behavior of a numerical model of peridynamics for various influence functions using the example of two-dimensional elasticity problems with an analytical solution and fracture problems. The influence function is used to define the model in integral relations and describes the behavior of non-local particle interactions. It is shown that the best convergence of the implemented model is achieved by using the cubic spline type influence function.
Keywords	peridynamics, continuum mechanics, interaction horizon, strain gradient tensor, influence function.
Citation	Deryugin Y. N., Shishkanov D. A. ''Influence function in the continuum model of peridynamics'' [Electronic resource]. Proceedings of the International Scientific Youth School-Seminar "Mathematical Modeling, Numerical Methods and Software complexes" named after E.V. Voskresensky (Saransk, July 26-28, 2024). Saransk: SVMO Publ, 2024. - pp. 55-69. Available at: https://conf.svmo.ru/files/2024/papers/paper10.pdf. - Date of access: 16.10.2024.