A review on phase field models for fracture and fatigue

P Li, W Li, B Li, S Yang, Y Shen, Q Wang… - Engineering Fracture …, 2023 - Elsevier
Phase field fracture models have demonstrated great capacities in simulating crack
nucleation, propagation, branching, and joining in brittle and ductile materials subjected to …

Modeling via peridynamics for large deformation and progressive fracture of hyperelastic materials

BB Yin, WK Sun, Y Zhang, KM Liew - Computer Methods in Applied …, 2023 - Elsevier
Hyperelastic materials are frequently observed in the natural world and engineering
applications such as rubbers and animal soft tissues. Modeling large deformation and …

An adaptive phase-field model with variable-node elements for fracture of hyperelastic materials at large deformations

C Xing, T Yu, Y Sun, Y Wang - Engineering Fracture Mechanics, 2023 - Elsevier
In this work, an adaptive phase-field method is proposed for modeling fracture of
hyperelastic materials at large deformations. The adaptive mesh refinement is facilitated by …

Advancements in phase-field modeling for fracture in nonlinear elastic solids under finite deformations

G Zhang, C Tang, P Chen, G Long, J Cao, S Tang - Mathematics, 2023 - mdpi.com
The prediction of failure mechanisms in nonlinear elastic materials holds significant
importance in engineering applications. In recent years, the phase-field model has emerged …

A phase field solution for modelling hyperelastic material and hydrogel fracture in ABAQUS

S Zheng, R Huang, R Lin, Z Liu - Engineering Fracture Mechanics, 2022 - Elsevier
The phase field fracture model is attracting significant interest. To model fracture in
hyperelastic material and hydrogel, we have implemented a robust two-and three …

A cell-based smoothed finite element method (CS-FEM) for three-dimensional incompressible laminar flows using mixed wedge-hexahedral element

M Liu, G Gao, H Zhu, C Jiang, G Liu - Engineering Analysis with Boundary …, 2021 - Elsevier
Smoothed finite element method (S-FEM) has attracted lots of attentions in the fields of
computational mechanics, especially in solid mechanics and heat transfer problems. In …

Efficient BFGS quasi-Newton method for large deformation phase-field modeling of fracture in hyperelastic materials

A Najmeddine, M Shakiba - Engineering Fracture Mechanics, 2024 - Elsevier
The prediction of crack propagation in materials is a crucial problem in solid mechanics, with
many practical applications ranging from structural integrity assessment to the design of …

Mixed displacement–pressure-phase field framework for finite strain fracture of nearly incompressible hyperelastic materials

F Tian, J Zeng, M Zhang, L Li - Computer Methods in Applied Mechanics …, 2022 - Elsevier
The favored phase field method (PFM) has encountered challenges in the finite strain
fracture modeling of nearly or truly incompressible hyperelastic materials. We identified that …

A model for fracture of temperature-sensitive hydrogel with diffusion and large deformation

S Zheng, H You, H Li, KY Lam - Engineering Fracture Mechanics, 2023 - Elsevier
A model is formulated theoretically in this paper via the phase field method for simulation of
fracture in temperature-sensitive hydrogels with consideration of diffusion coupled with large …

Adaptive stabilized mixed formulation for phase field fracture modeling of nearly incompressible finite elasticity

F Tian, M Zhang, J Zeng, B Li, L Li - International Journal of Mechanical …, 2022 - Elsevier
The recently proposed mixed displacement-pressure-phase field formulation characterized
by damage-mitigating incompressibility constraints excels in fracture modeling of nearly …