Constitutive modeling based on continuum mechanics theory has been a classical approach
for modeling the mechanical responses of materials. However, when constitutive laws are …

In this work, we propose a novel approach based on the higher-order nonlocal operator for
the phase-field modeling of ductile fracture in elasto-plastic materials. The present method …

A static peridynamic (proposed by Silling, see J. Mech. Phys. Solids 2000; 48: 175–209)
composite materials (CMs) of both the random and periodic structures are considered. In the …

The equation of the Vickers indentation fracture (VIF) proposed by Moradkhani et al.(J. Adv.
Ceram. 2, 87–102 (2013)) has been used for the determination of indentation fracture …

This paper presents a novel higher-order nonlocal operator theory for the phase-field
modeling of brittle fracture in anisotropic materials. Incorporating higher order nonlocal …

To accurately address the thermally induced dynamic and steady-state crack propagation
problems for homogeneous and heterogeneous materials involving crack branching …

Steel plates are widely used in construction to connect different structural elements using
welding or bolts. The fracture in these plates may lead to catastrophic consequences such …

Human tissues are highly organized structures with collagen fiber arrangements varying
from point to point. Anisotropy of the tissue arises from the natural orientation of the fibers …

This paper proposes a peridynamics-based statistical multiscale (PSM) framework to
simulate the macroscopic structure fracture with high efficiency. The heterogeneities of …

In this paper, we propose the implicit stabilized dual-horizon peridynamics-based strain
gradient damage model (GDH-PD) to describe the cross-scale fracture behavior of …