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Related papers: A phase-field method for modeling cracks with fric…

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In this work, we consider pressurized phase-field fracture problems in nearly and fully incompressible materials. To this end, a mixed form for the solid equations is proposed. To enhance the accuracy of the spatial discretization, a…

Numerical Analysis · Mathematics 2022-09-21 Seshadri Basava , Katrin Mang , Mirjam Walloth , Thomas Wick , Winnifried Wollner

The shape of a crack front propagating through a thin sample is studied using a phase field model. The model is shown to have a well defined sharp interface limit. The crack front is found to be an ellipse with large axis the width of the…

Materials Science · Physics 2010-12-07 Hervé Henry

A simple and robust spring-block model obeying threshold dynamics is introduced to study surface fracture of an overlayer subject to stress induced by adhesion to a substrate. We find a novel phase transition in the crack morphology and…

Condensed Matter · Physics 2009-10-28 Kwan-tai Leung , Joergen Vitting Andersen

We consider a one-dimensional fracture problem modelled using either the phase-field or lip-field approach. In both cases, we optimise the incremental potential with respect to the displacement and damage fields and the nodal coordinates of…

Computational Engineering, Finance, and Science · Computer Science 2025-09-08 Nicolas Moës , Benoît Lé , Nicolas Chevaugeon , Jean-François Remacle

This paper presents a framework for modeling failure in quasi-brittle geomaterials under different loading conditions. A micromechanics-based model is proposed in which the field variables are linked to physical mechanisms at the microcrack…

Materials Science · Physics 2021-11-12 Jacinto Ulloa , Jef Wambacq , Roberto Alessi , Esteban Samaniego , Geert Degrande , Stijn François

Within this work, we present a novel approach to fracture simulations based on shape optimization techniques. Contrary to widely-used phase-field approaches in literature the proposed method does not require a specified 'length-scale'…

Optimization and Control · Mathematics 2025-04-01 Tim Suchan , Kathrin Welker , Winnifried Wollner

In this work, we couple a high-accuracy phase-field fracture reconstruction approach iteratively to fluid-structure interaction. The key motivation is to utilize phase-field modelling to compute the fracture path. A mesh reconstruction…

Numerical Analysis · Mathematics 2024-08-19 Henry von Wahl , Thomas Wick

We study the relation between a threshold-force based model at the microscopic scale and mode I fracture at the macroscopic scale in a system of discrete interacting springs. Specifically, we idealize the contact between two surfaces as…

Soft Condensed Matter · Physics 2016-06-13 Srivatsan Hulikal , Kaushik Bhattacharya , Nadia Lapusta

As recently suggested in an interestring and stimulating paper by Menga, Carbone & Dini (MCD), applying fracture mechanics energy concepts for the case of a sliding adhesive contact, imposing also the shear stress is constant at the…

Soft Condensed Matter · Physics 2020-02-19 M. Ciavarella

In this study, we introduce a novel stretch-based gradient-enhanced damage (GED) model that allows the fracture to localize and also captures the development of a physically diffuse damage zone. This capability contrasts with the paradigm…

Soft Condensed Matter · Physics 2025-02-06 S. Mohammad Mousavi , Jason Mulderrig , Brandon Talamini , Nikolaos Bouklas

Frictional properties of interfaces with dynamic chemical bonds have been the subject of intensive experimental investigation and modeling, as it provides important insights into the molecular origin of the empirical rate and state laws,…

Mesoscale and Nanoscale Physics · Physics 2020-01-24 Wengen Ouyang , Yao Cheng , Ming Ma , Michael Urbakh

Wear is well known for causing material loss in a sliding interface. Available macroscopic approaches are bound to empirical fitting parameters, which range several orders of magnitude. Major advances in tribology have recently been…

Computational Engineering, Finance, and Science · Computer Science 2020-09-18 Sylvain Collet , Jean-François Molinari , Stella Brach

We outline a phenomenological model to assess friction at the interface between two bodies in mutual contact. Although the approach is general, the application inspiring the approach is the Discrete Element Method. The kinematics of the…

Computational Engineering, Finance, and Science · Computer Science 2020-07-28 Luning Fang , Dan Negrut

A phase-field description of brittle fracture is employed in the reported four-point bending analyses of monolithic and laminated glass plates. Our aims are: (i) to compare different phase-field fracture formulations applied to thin glass…

Computational Engineering, Finance, and Science · Computer Science 2020-12-30 Jaroslav Schmidt , Alena Zemanová , Jan Zeman , Michal Šejnoha

The description of surface-diffusion controlled dynamics via the phase-field method is less trivial than it appears at first sight. A seemingly straightforward approach from the literature is shown to fail to produce the correct…

Computational Physics · Physics 2017-03-13 Clemens Mueller-Gugenberger , Robert Spatschek , Klaus Kassner

Thin-walled structures clamped by friction joints, such as aircraft skin panels are exposed to bending-stretching coupling and frictional contact. We propose an original sub-structuring approach, where the system is divided into thin-walled…

Systems and Control · Electrical Eng. & Systems 2025-02-28 Patrick Hippold , Johann Gross , Malte Krack

We investigate the potential of quasi-Newton methods in facilitating convergence of monolithic solution schemes for phase field fracture modelling. Several paradigmatic boundary value problems are addressed, spanning the fields of…

Numerical Analysis · Mathematics 2019-12-19 Philip K. Kristensen , Emilio Martínez-Pañeda

Standard phase-field fracture methods are rooted in brittle fracture theory and therefore do not inherently prescribe a material strength for crack nucleation, while also struggling to capture cohesive fracture behaviour. Recent…

Computational Engineering, Finance, and Science · Computer Science 2026-05-27 Tim Hageman

This paper presents a modeling framework to describe the driving mechanisms of cyclic failure in brittle and ductile materials, including cyclic plasticity and fatigue crack growth. A variational model is devised using the energetic…

Numerical Analysis · Mathematics 2020-11-10 Jacinto Ulloa , Jef Wambacq , Roberto Alessi , Geert Degrande , Stijn François

We address the discretization of two-phase Darcy flows in a fractured and deformable porous medium, including frictional contact between the matrix-fracture interfaces. Fractures are described as a network of planar surfaces leading to the…

Numerical Analysis · Mathematics 2022-01-24 Francesco Bonaldi , Jérôme Droniou , Roland Masson , Antoine Pasteau