Title | Influence function in the continuum model of peridynamics |
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Authors | Y. N. Deryugin^{1}, D. A. Shishkanov^{1}^{1}National 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: 12.11.2024. |

**© SVMO, National Research Mordovia State University, 2024**

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