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We study the effect of the sample thickness in planar crack front propagation in a disordered elastic medium using the random fuse model. We employ different loading conditions and we test their stability with respect to crack growth. We…

Disordered Systems and Neural Networks · Physics 2015-06-16 Pallab Barai , Phani K. V. V. Nukala , Mikko J. Alava , Stefano Zapperi

Structural transitions are invariably affected by lattice distortions. If the body is to remain crack-free, the strain field cannot be arbitrary but has to satisfy the Saint-Venant compatibility constraint. Equivalently, an incompatibility…

Materials Science · Physics 2015-05-18 R. Gröger , T. Lookman , A. Saxena

Nonlocal quasistatic fracture evolution for interacting cracks is developed and supporting numerical examples are presented. The approach is implicit and is based on local stationarity and fixed point methods. It is proved that the fracture…

Numerical Analysis · Mathematics 2023-01-18 Debdeep Bhattacharya , Robert Lipton , Patrick Diehl

The propagation of (planar) cracks in a heterogeneous brittle material characterized by a random field of toughness is considered, taking into account explicitly the effect of the crack front roughness on the local stress intensity factor.…

Other Condensed Matter · Physics 2015-06-24 Yann Charles , Damien Vandembroucq , Francois Hild , Stephane Roux

A newly developed sharp interface model describes crack propagation by a phase transition process. We solve this free boundary problem numerically and obtain steady state solutions with a self-consistently selected propagation velocity and…

Materials Science · Physics 2015-06-25 D. Pilipenko , R. Spatschek , E. A. Brener , H. Müller-Krumbhaar

The wear volume is known to keep increasing during frictional processes, and Archard notably proposed a model to describe the probability of wear particle formation upon asperity collision in a two-body contact configuration. While this…

Soft Condensed Matter · Physics 2020-03-13 Enrico Milanese , Jean-François Molinari

Toughness describes the ability of a material to resist fracture or crack propagation. It is demonstrated here that fracture toughness of a material can be asymmetric, i.e., the resistance of a medium to a crack propagating from right to…

Materials Science · Physics 2021-10-12 N. R. Brodnik , S. Brach , C. M. Long , G. Ravichandran , B. Bourdin , K. T. Faber , K. Bhattacharya

The paper is concerned with the problem of a semi-infinite crack at the interface between two dissimilar elastic half-spaces, loaded by a general asymmetrical system of forces distributed along the crack faces. On the basis of the weight…

Mathematical Physics · Physics 2012-06-07 Andrea Piccolroaz , Gennady Mishuris

The art of making structural, polymeric and metallic glasses is rapidly developing with many applications. A limitation to their use is their mechanical stability: under increasing external strain all amorphous solids respond elastically to…

Soft Condensed Matter · Physics 2015-05-19 Smarajit Karmakar , Edan Lerner , Itamar Procaccia

The density dependence of the symmetry energy in the equation of state of isospin asymmetric nuclear matter is studied using the isoscaling of the fragment yields and the antisymmetrized molecular dynamic calculation. It is observed that…

Nuclear Experiment · Physics 2008-11-26 D. V. Shetty , S. J. Yennello , G. A. Souliotis

By means of contact dynamics simulations, we investigate a dense packing composed of polyhedral particles under quasistatic shearing. The effect of particle shape is analyzed by comparing the polyhedra packing with a packing of similar…

Classical Physics · Physics 2011-07-12 Émilien Azema , F. RadjaÏ , G. Saussine

We study the nonlinear elastic response of a two-dimensional material to a localized boundary force, with the particular goal of understanding the differences observed between isotropic granular materials and those with hexagonal…

Soft Condensed Matter · Physics 2009-11-13 B. P. Tighe , J. E. S. Socolar

Within the continuum dislocation theory the asymptotic analysis of the plane strain crack problem for a single crystal having only one active slip system on each half-plane is provided. The results of this asymptotic analysis show that the…

Materials Science · Physics 2015-08-17 Khanh Chau Le , Van Nha Tran

Particle azimuth distributions are widely studied in heavy-ion collisions. They are often expanded in Fourier series to extract anisotropic flow harmonics simultaneously. It was recently proposed that the different orders of flows could…

Nuclear Theory · Physics 2024-01-23 Yicheng Feng

The ratio of directional strength-to-stiffness is important in governing the relative order in which individual crystals within a polycrystalline aggregate will yield as the aggregate is loaded. In this paper, a strength-to-stiffness…

Materials Science · Physics 2017-05-24 Andrew C. Poshadel , Paul R. Dawson

We have studied how the transport of charge and heat as well as associated observables become influenced by a weak-momentum anisotropy arising due to the asymptotic expansion of baryon asymmetric matter in the initial stages of heavy ion…

High Energy Physics - Phenomenology · Physics 2026-03-20 Shubhalaxmi Rath

Fracture involves interaction across large and small length scales. With the application of enough stress or strain to a brittle material, atomistic scale bonds will break, leading to fracture of the macroscopic specimen. From the…

Soft Condensed Matter · Physics 2022-02-04 Debdeep Bhattacharya , Patrick Diehl , Robert P. Lipton

We develop a generalized theory for the scattering process produced by interface roughness on charge carriers and which is suitable for any semiconductor heterostructure. By exploiting our experimental insights into the three-dimensional…

This study presents the spreading of a single filament of a yield stress (viscoplastic) fluid extruded onto a pre-wetted solid surface. The filaments spread laterally under surface tension forces until they reach a final equilibrium shape…

Fluid Dynamics · Physics 2022-12-29 Jesse van der Klok , Daniël Tieman , Maziyar Jalaal

We attempt to describe the stress distributions of granular packings using lattice-based layer-by-layer stochastic models that satisfy the constraints of force and torque balance and non-tensile forces at each site. The inherent asymmetry…

Soft Condensed Matter · Physics 2009-10-31 M. L. Nguyen , S. N. Coppersmith