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In our previous paper (Eur. Phys. J. E 4, 121 (2001)) we proposed a coarse-grained elastic energy for nacre, or stratified structure of hard and soft layers. We then analyzed a crack running perpendicular to the layers and suggested one…

Soft Condensed Matter · Physics 2009-11-07 Ko Okumura

In this paper, two improvements to the theory of transition from brittle to ductile fracture developed by Langer are proposed. First, considering the drastic temperature rise near the crack tip, the temperature dependence of the shear…

Materials Science · Physics 2023-05-09 Khanh Chau Le , Hyeonyeong Jeong , Tuan Minh Tran

We consider a linearly elastic body consisting of two equal symmetrically arranged layers (or half-planes) connected by a structured interface as a prospective crack path. The interface is comprised by periodic discrete system of bonds. In…

Classical Physics · Physics 2014-03-05 Gennady S. Mishuris , Leonid I. Slepyan

To model rupture dynamics, a friction law must be assumed. Commonly used constitutive laws for modeling friction include slip-weakening laws which are characterized by a drop from static to dynamic frictional stress. Within this framework,…

Geophysics · Physics 2024-07-22 Roxane Ferry , Jean-François Molinari

Soft fracture in highly deformable solids involves both geometric and constitutive nonlinearities, necessitating advanced theoretical and computational frameworks for its accurate understanding. Tensile fractures subjected to mixed-mode…

For a comprehensive characterization of mechanical reliability of metallization layers on polymer substrates both electrical and mechanical degradation should be taken into account. Although it is evident that cracking of a conductive film…

Materials Science · Physics 2019-04-08 Oleksandr Glushko , Philipp Kraker , M. J. Cordill

We present an adaptive space-time phase field formulation for dynamic fracture of brittle shells. Their deformation is characterized by the Kirchhoff-Love thin shell theory using a curvilinear surface description. All kinematical objects…

Computational Engineering, Finance, and Science · Computer Science 2020-06-19 Karsten Paul , Christopher Zimmermann , Kranthi K. Mandadapu , Thomas J. R. Hughes , Chad M. Landis , Roger A. Sauer

We approach the problem of heterogeneous dynamic fracture by considering spatiotemporal perturbations to planar crack fronts. Front propagation is governed by local energy balance between the elastic energy per unit area available to…

Materials Science · Physics 2025-09-17 Itamar Kolvin , Mokhtar Adda-Bedia

Brittle materials subjected to thermal shocks experience strong temperature gradients that in turn give rise to mechanical stresses that can be large enough to induce fracture. This work presents a complete model for phase-field fracture…

Computational Physics · Physics 2026-02-11 Bo Zeng , John E. Dolbow

In fractured poroelastic media under high differential stress, the shearing of fractures and faults and the corresponding propagation of wing cracks can be induced by fluid injection. Focusing on low-pressure stimulation with fluid…

Numerical Analysis · Mathematics 2023-05-01 Hau Trung Dang , Inga Berre , Eirik Keilegavlen

Crack advance from short or long pre-cracks is predicted by the progressive failure of a cohesive zone in a strain gradient, elasto-plastic solid. The presence of strain gradients leads to the existence of an elastic zone at the tip of a…

This paper presents a macroscopic theory, alongside its numerical implementation, aimed at describing, explaining, and predicting the nucleation and propagation of fracture in viscoelastic materials subjected to quasistatic loading…

Soft Condensed Matter · Physics 2025-06-23 Farhad Kamarei , Evan Breedlove , Oscar Lopez-Pamies

The growth of cracks combines materials science, fracture mechanics, and statistical physics. The importance of fluctuations in the crack velocity is fundamental since it signals that the crack overcomes local barriers such as tough spots…

Statistical Mechanics · Physics 2025-03-11 Tero Mäkinen , Lumi Tuokkola , Joonas Lahikainen , Ivan V. Lomakin , Juha Koivisto , Mikko J. Alava

Neutron irradiation in structural alloys promotes defect clustering, which suppresses plasticity and triggers a ductile-to-brittle transition (DBT), a key degradation mechanism limiting fracture resistance in nuclear materials. This study…

Materials Science · Physics 2025-07-21 A. Ustrzycka , H. Mousavi , F. J. Dominguez-Gutierrez , S. Stupkiewicz

The phase field approach to modeling fracture uses a diffuse damage field to represent a crack. This addresses the singularities that arise at the crack tip in computations with sharp interface models, mollifying some of the difficulties…

A simple nonlocal field theory of peridynamic type is applied to model brittle fracture. The fracture evolution is shown to converge in the limit of vanishing nonlocality to classic plane elastodynamics with a running crack. The kinetic…

Analysis of PDEs · Mathematics 2020-07-30 Robert Lipton , Prashant K. Jha

We analyze the failure process of a two-component system with widely different fracture strength in the framework of a fiber bundle model with localized load sharing. A fraction 0\leq \alpha \leq 1 of the bundle is strong and it is…

Disordered Systems and Neural Networks · Physics 2013-10-08 K. Kovacs , R. C. Hidalgo , I. Pagonabarraga , F. Kun

Convection-driven cooling in porous media influences thermo-poro-mechanical stresses, thereby causing deformation. These processes are strongly influenced by the presence of fractures, which dominate flow and heat transfer. At the same…

Numerical Analysis · Mathematics 2020-12-14 Ivar Stefansson , Eirik Keilegavlen , Sæunn Halldórsdóttir , Inga Berre

The interaction of crack fronts with asperities is central to the criteria of fracture in heterogeneous materials and for predicting fracture surface formation. It is known how dynamic crack fronts respond to small, 1st-order,…

Soft Condensed Matter · Physics 2025-09-17 Itamar Kolvin , Mokhtar Adda-Bedia

Motivated by recent experiments by Yuse and Sano (Nature, 362, 329 (1993)), we propose a discrete model of linear springs for studying fracture in thin and elastically isotropic brittle films. The method enables us to draw a map of the…

mtrl-th · Physics 2009-10-28 Oscar Pla
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