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The paper addresses the problem of a Mode III interfacial crack advancing quasi-statically in a heterogeneous composite material, that is a two-phase material containing elastic inclusions, both soft and stiff, and defects, such as…

Mathematical Physics · Physics 2011-10-25 Andrea Piccolroaz , Gennady Mishuris , Alexander Movchan , Natasha Movchan

We study the onset of friction for rough contacting blocks whose interface is coated with a thin lubrication layer. High speed measurements of the real contact area and stress fields near the interface reveal that propagating shear cracks…

Soft Condensed Matter · Physics 2016-05-25 Elsa Bayart , Ilya Svetlizky , Jay Fineberg

We study at the laboratory scale the rupture of thin floating sheets made of a brittle material under a wave-induced mechanical forcing. We show that the rupture occurs where the curvature is maximum and the break-up threshold strongly…

Fluid Dynamics · Physics 2025-12-10 Baptiste Auvity , Laurent Duchemin , Antonin Eddi , Stéphane Perrard

Impact craters exist on various solid objects in the planetary system. A simplified analogy of the process of their formation is here analyzed by standard solid state physics and the so called dynamic quantized fracture mechanics. An…

Earth and Planetary Astrophysics · Physics 2014-03-11 V. Celebonovic

Catastrophic failure of materials and structures due to unstable crack growth could be prevented if facture toughness could be enhanced at will through structural design, but how can this be possible if fracture toughness is a material…

Biological Physics · Physics 2015-03-18 Bin Liu , Yanjie Jia , He-Ling Wang , Huajian Gao

The current study explores the analysis of crack in initially stressed, rotating material strips, drawing insights from singular integral equations. In this work, a self-reinforced material strip with finite thickness and infinite extent,…

Classical Physics · Physics 2024-09-19 Soniya Chaudhary , Diksha , Pawan Kumar Sharma

We investigate phase-field modeling of brittle fracture in a one-dimensional bar featuring a continuous variation of elastic and/or fracture properties along its axis. Our main goal is to quantitatively assess how the heterogeneity in…

Applied Physics · Physics 2022-11-22 Francesco Vicentini , Pietro Carrara , Laura De Lorenzis

We present a unified theory of fracture in disordered brittle media that reconciles apparently conflicting results reported in the literature. Our renormalization group based approach yields a phase diagram in which the percolation fixed…

Statistical Mechanics · Physics 2013-05-09 Ashivni Shekhawat , Stefano Zapperi , James P. Sethna

Fracture is a ubiquitous phenomenon in most composite engineering structures, and is often the responsible mechanism for catastrophic failure. Over the past several decades, many approaches have emerged to model and predict crack failure.…

Mesoscale and Nanoscale Physics · Physics 2025-06-06 Vinamra Agrawal , Brandon Runnels

We numerically study the impact-induced hardening in dense suspensions. We employ the lattice Boltzmann method and perform simulations of dense suspensions under impacts, which incorporate the contact between suspended particles with the…

Soft Condensed Matter · Physics 2021-03-10 Pradipto , Hisao Hayakawa

Porous media containing cracks, fractures, or internal discontinuities arise throughout subsurface geomechanics, biomechanics, and materials science. Numerical simulation of the coupled hydromechanical response is inherently challenging…

Computational Engineering, Finance, and Science · Computer Science 2026-04-20 David Michael Riley , Guglielmo Scovazzi , Ioannis Stefanou

This paper addresses the modeling of fracture in quasi-brittle materials using a phase-field approach to the description of crack topology. Within the computational mechanics community, several studies have treated the issue of modeling…

Computational Engineering, Finance, and Science · Computer Science 2019-03-01 Jacinto Ulloa , Patricio Rodríguez , Cristóbal Samaniego , Esteban Samaniego

Fractonic matter can undergo unconventional phase transitions driven by the condensation of particles that move along subdimensional manifolds. We propose that this type of quantum critical point can be realized in a bilayer of crossed…

Strongly Correlated Electrons · Physics 2024-09-16 Rafael A. Macedo , Rodrigo G. Pereira

A phase field model of a crack front propagating in a three dimensional brittle material is used to study the fractographic patterns induced by the branching instability. The numerical results of this model give rise to crack surfaces that…

Soft Condensed Matter · Physics 2014-01-09 H. Henry , M. Adda-Bedia

Review of selected fundamental topics on the interaction between phase transformations, fracture, and other structural changes in inelastic materials is presented. It mostly focuses on the concepts developed in the author's group over last…

Materials Science · Physics 2021-08-24 Valery I. Levitas

A bundle of fibers has been considered here as a model for composite materials, where breaking of the fibers occur due to a combined influence of applied load (stress) and external noise. Through numerical simulation and a mean-field…

Statistical Mechanics · Physics 2013-07-26 Srutarshi Pradhan , Anjan Kumar Chandra , Bikas K. Chakrabarti

The effect of geometrical shape of eroding absolutely rigid particles on the threshold rate of failure has been studied. The Shtaerman-Kilchevsky theory of quasi-static blunt impact, which generalizes Hertz's classical impact theory, is…

Classical Physics · Physics 2015-06-04 I. I. Argatov , G. S. Mishuris , Yu. V. Petrov

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

We model an interface layer connecting two parts of a solid body by N parallel elastic springs connecting two rigid blocks. We load the system by a shear force acting on the top side. The springs have equal stiffness but are ruptured…

Disordered Systems and Neural Networks · Physics 2009-11-10 Jakob Knudsen , A. R. Massih

Crack initiation emerges due to a combination of elasticity, plasticity, and disorder, and it is heavily dependent on the material's microstructural details. In this paper, we investigate brittle metals with coarse-grained, microstructural…

Materials Science · Physics 2017-07-17 S. Papanikolaou , J. Thibault , C. Woodward , P. Shanthraj , F. Roters