Hyperbolic phase-field coupling with explicit Lagrangian hydrodynamics for the simulation of damage in brittle materials
Abstract
The realistic modelling of brittle material damage remains a major scientific challenge in the development of physico-numerical models describing material behavior. Among the various approaches currently under investigation, phase-field method has emerged as a promising framework for the robust simulation of crack initiation and propagation. It relies on an energetic formulation in which fracture evolution is driven by the minimization of the total energy. The objective of this work is to integrate the hyperbolic phase-field approach into an explicit Lagrangian hydrodynamics code designed for the simulation of highly dynamic phenomena such as impact and rapid structural deformation. This coupling raises several scientific challenges, particularly related to the compatibility between the inherently non-local phase-field formulation and the explicit time integration schemes commonly employed in hydrodynamic solvers. Starting from a linear elastic constitutive model the objective of this work is to reproduce benchmarks mainly reported in the finite element (FEM) literature within a different numerical framework. Beyond validation, the aim is to demonstrate the applicability of the proposed approach and to open new perspectives for the simulation of damage and fracture in brittle materials subjected to dynamic loading.
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BibTeX
@misc{chapy2026hyperbolic,
title = {{Hyperbolic phase-field coupling with explicit Lagrangian hydrodynamics for the simulation of damage in brittle materials}},
author = {Alexandre Chapy and Sébastien Guisset and Azdine Naït-Ali},
howpublished = {HAL},
year = {2026},
month = sep,
url = {https://hal.science/hal-05694587v3},
note = {CC BY-NC-ND 4.0},
}
RIS
TY - UNPB
TI - Hyperbolic phase-field coupling with explicit Lagrangian hydrodynamics for the simulation of damage in brittle materials
AU - Alexandre Chapy
AU - Sébastien Guisset
AU - Azdine Naït-Ali
PY - 2026
DA - 2026/09/19
PB - HAL
UR - https://hal.science/hal-05694587v3
AB - The realistic modelling of brittle material damage remains a major scientific challenge in the development of physico-numerical models describing material behavior. Among the various approaches currently under investigation, phase-field method has emerged as a promising framework for the robust simulation of crack initiation and propagation. It relies on an energetic formulation in which fracture evolution is driven by the minimization of the total energy. The objective of this work is to integrate the hyperbolic phase-field approach into an explicit Lagrangian hydrodynamics code designed for the simulation of highly dynamic phenomena such as impact and rapid structural deformation. This coupling raises several scientific challenges, particularly related to the compatibility between the inherently non-local phase-field formulation and the explicit time integration schemes commonly employed in hydrodynamic solvers. Starting from a linear elastic constitutive model the objective of this work is to reproduce benchmarks mainly reported in the finite element (FEM) literature within a different numerical framework. Beyond validation, the aim is to demonstrate the applicability of the proposed approach and to open new perspectives for the simulation of damage and fracture in brittle materials subjected to dynamic loading.
ER -