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The onset of sub-critical crack growth during slow strain rate tensile testing (SSRT) is assessed through a combined experimental and modeling approach. A systematic comparison of the extent of intergranular fracture and expected hydrogen…

The hysteresis or internal friction in the deformation of crystalline solids stressed cyclically is studied from the viewpoint of collective dislocation dynamics. Stress-controlled simulations of a dislocation dynamics model at various…

Materials Science · Physics 2015-06-11 Lasse Laurson , Mikko J. Alava

Constitutive equations are derived for the time-dependent behavior of particle-reinforced elastomers at isothermal loading with finite strains. A rubbery polymer is modelled as a network of macromolecules bridged by junctions which can slip…

Materials Science · Physics 2007-05-23 Aleksey D. Drozdov , Al Dorfmann

The deformation and break-up of Newtonian/viscoelastic droplets are studied in confined shear flow. Our numerical approach is based on a combination of Lattice-Boltzmann models (LBM) and finite difference schemes, the former used to model…

Soft Condensed Matter · Physics 2016-11-15 A. Gupta , M. Sbragaglia

We consider a randomly forced particle moving in a finite region, which rebounds inelastically with coefficient of restitution r on collision with the boundaries. We show that there is a transition at a critical value of r, r_c\equiv…

Statistical Mechanics · Physics 2009-10-31 Stephen J. Cornell , Michael R. Swift , Alan J. Bray

A two-dimensional atomic mass spring system is investigated for critical fracture loads and its crack path geometry. We rigorously prove that, in the discrete-to-continuum limit, the minimal energy of a crystal under uniaxial tension leads…

Analysis of PDEs · Mathematics 2012-10-15 Manuel Friedrich , Bernd Schmidt

In this work, we present an experimental investigation of the fuse model. Our main goal was to study the influence of the disorder on the fracture process. The experimental apparatus used consisted of an $L\times L$ square lattice with…

Statistical Mechanics · Physics 2009-11-11 D. R. Otomar , I. L. Menezes-Sobrinho , M. S Couto

We carry out uniaxial continuous and step stretching of various crosslinked polymer networks to demonstrate how characteristics of rupture (from continuous stretching) and delayed rupture (from step stretching) can be used to probe the…

Soft Condensed Matter · Physics 2025-11-18 Asal Y Siavoshani , Cheng Liang , Ming-Chi Wang , Junpeng Wang , Aanchal Jaisingh , Chen Wang , Shi-Qing Wang

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

Compressible lattice gas models are used in material science to understand the coupling between composition and strain in alloys. The seminal work in this field is the 1973 Larch\'{e}-Cahn paper (Acta Metall. 21, 1051-1063). Single-phase…

Materials Science · Physics 2025-08-20 Michiel Sprik

We present an experimental study of the motion of a viscoelastic micellar material around a moving cylinder, which ranges in response from fluid-like flow to solid-like tearing and fracture, depending on the cylinder radius and velocity.…

Soft Condensed Matter · Physics 2009-11-11 Joseph R. Gladden , Andrew Belmonte

We obtain a cohesive fracture model as a $\Gamma$-limit of scalar damage models in which the elastic coefficient is computed from the damage variable $v$ through a function $f_k$ of the form $f_k(v)=min\{1,\varepsilon_k^{1/2} f(v)\}$, with…

Analysis of PDEs · Mathematics 2018-05-01 Sergio Conti , Matteo Focardi , Flaviana Iurlano

We propose a time-space discretization of a general notion of quasistatic growth of brittle fractures in elastic bodies proposed in [13] by G. Dal Maso, G.A. Francfort, and R. Toader, which takes into account body forces and surface loads.…

Analysis of PDEs · Mathematics 2025-10-20 Alessandro Giacomini , Marcello Ponsiglione

The modern theory of elasticity and the first law of thermodynamics are cornerstones of engineering science that share the concept of reversibility. Engineering researchers have known for four decades that the modern theory violates the…

Soft Condensed Matter · Physics 2019-11-21 Christopher M. Szalwinski

We consider the classical evolution of a lattice of non-linear coupled oscillators for a special case of initial conditions resembling the equilibrium state of a macroscopic thermal system at the critical point. The displacements of the…

Computational Physics · Physics 2008-11-26 N. G. Antoniou , F. K. Diakonos , E. N. Saridakis , G. A. Tsolias

As is well known, the extrusion rate of polymers from a cylindrical tube or slit (a ``die'') is in practice limited by the appearance of ``melt fracture'' instabilities which give rise to unwanted distortions or even fracture of the…

Soft Condensed Matter · Physics 2007-05-23 M. Meulenbroek , C. Storm , V. Bertola , C. Wagner , D. Bonn , W. van Saarloos

Shear cracks propagation is a basic dynamical process that mediates interfacial failure. We develop a general weakly nonlinear elastic theory of shear cracks and show that these experience tensile-mode crack tip deformation, including…

Materials Science · Physics 2015-06-03 Roi Harpaz , Eran Bouchbinder

Rocks are important examples for solid materials where, in various engineering situations, elastic, thermal expansion, rheological/viscoelastic and plastic phenomena each may play a remarkable role. Nonequilibrium continuum thermodynamics…

Soft Condensed Matter · Physics 2017-12-05 Csaba Asszonyi , Attila Csatár , Tamás Fülöp

This article reports results concerning the fracture of a 2d triangular lattice of atoms linked by springs. The lattice is submitted to controlled strain tests and the influence of both porosity and temperature on failure is investigated.…

Classical Physics · Physics 2007-05-23 Harold Auradou , Maria Zei , Elisabeth Bouchaud

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
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