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Sep 2026

Anisotropic gradient damage modelling of cleavage crack propagation in metallic polycrystals

An anisotropic gradient damage model specifically built to capture cleavage-like crack propagation in metallic polycrystalline aggregates is developed. This study extends the classical scalar characteristic length of gradient damage models to a tensorial characteristic length field. This second-order tensor, varying fr...

Augustin Perrier-Michon, A. Nait-Ali, Y. Charles et al. · 0 citations
Aug 2026

Dynamic fracture modeling in ductile materials using phase field approach

Understanding dynamic fracture in both brittle and ductile materials has attracted considerable attention from engineers and researchers due to its practical importance. In ductile materials, crack initiation and growth are strongly influenced by plastic deformation and the associated microstructural damage, which grad...

K. S. Reddy, A. Rajagopal, S. Natarajan · 0 citations
Sep 2026

A phase field model for thermoelastic fracture in hyperelastic solids under finite deformation

This paper develops a phase field model for simulating crack propagation in hyperelastic solids subjected to coupled thermo-mechanical loading under finite deformation. The model integrates the Neo-Hookean constitutive law with a thermodynamically consistent framework that captures key multiphysics couplings: finite th...

Yi-Feng Chen, Jing-Hua Yu, Wei Wang et al. · 0 citations
Open access

Numerical Methods and Algorithms for Phase-Field Fracture Modeling

Fracture mechanics is essential for predicting the failure of materials and structures. The Phase-Field Fracture (PFF) method has emerged as a powerful computational tool, overcoming the limitations of classical discrete approaches by modeling cracks as diffuse damage bands. This formulation eliminates the need for exp...

Miguel Castillón de Miguel · 0 citations
Preprint Sep 2026

Adaptive Mesh Coarsening for Efficient Phase-Field Fracture Simulations

Phase-field models provide a versatile framework for simulating fracture nucleation and propagation without explicit crack tracking. Their principal computational challenge is the need to resolve a small regularization length with a sufficiently fine finite element mesh. This requirement can render uniform-mesh simulat...

Aarosh Dahal, Abhinav Gupta, Aditya Kumar · 1 citation
Open access Aug 2026

Investigating Fracture Behavior of Lattice Structures Using the XFEM and Equivalent Solid Material Model Techniques

This study aims to numerically investigate the mode I, II, and III fracture behaviors of additively manufactured degradable, bioplastic polylactic acid (PLA) lattice specimens. Numerical simulations were performed using the eXtended Finite Element Method (XFEM) based on the extracted PLA's mechanical and fracture mat...

Bahman Paygozar, R. Gorguluarslan · 0 citations

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