3 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…
math.NA2024
A novel bond-based nonlocal diffusion model with matrix-valued coefficients in non-divergence form and its collocation discretization
Lili Ju, Hao Tian, Junke Lu
Existing nonlocal diffusion models are predominantly classified into two categories: bond-based models, which involve a single-fold integral and usually simulate isotropic diffusio…
math.NA2024
A high-order multi-time-step scheme for bond-based peridynamics
Chenguang Liu, Jie Sun, Hao Tian +2
A high-order multi-time-step (MTS) scheme for the bond-based peridynamic (PD) model, an extension of classical continuous mechanics widely used for analyzing discontinuous problems…