2 papers
math-ph2025
An asymptotically compatible bond-based peridynamics with Gaussian kernel
Chenguang Liu, Hao Tian, Jinlong Shao
In this paper, we introduce a novel bond-based peridynamic model that utilizes a Gaussian kernel function. Previous peridynamic models, when directly discretized, have exhibited a…
cond-mat.mtrl-sci2024
Tensor-involved peridynamics: A unified framework for isotropic and anisotropic materials
Hao Tian, Jinlong Shao, Chenguang Liu +2
In this paper, we introduce tensor involved peridynamics, a unified framework for simulating both isotropic and anisotropic materials. While traditional peridynamics models effecti…