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Fracture growth in a material is strongly influenced by the presence of inhomogeneities, which deviate crack trajectories from rectilinearity and deeply affect failure. Increasing crack tortuosity is connected to enhancement of fracture…

Materials Science · Physics 2022-07-20 Riccardo Cavuoto , Pietro Lenarda , Diego Misseroni , Marco Paggi , Davide Bigoni

We briefly review a number of important recent experimental and theoretical developments in the field of dynamic fracture. Topics include experimental validation of the equations of motion for straight tensile cracks (in both infinite media…

Materials Science · Physics 2016-02-12 Jay Fineberg , Eran Bouchbinder

A possible clarification of memory effect observed in crack patterns of drying pastes [A. Nakahara and Y. Matsuo, J. Phys. Soc. Japan 74, 1362 (2005)] is presented in terms of a macroscopic elastoplastic model of isotropic pastes. We study…

Soft Condensed Matter · Physics 2008-06-04 Takeshi Ooshida

A study of crack patterns in laponite films of different thickness is presented. Two cracking regimes are observed. The earlier with a higher rate of desiccation and shrinking has predominantly four-fold vertices in the crack network, while…

Soft Condensed Matter · Physics 2016-08-31 Dibyendu Mal , Suparna Sinha , Tapati Dutta , S. Mitra , Sujata Tarafdar

We report the mechanism of cleavage crack deviation at grain boundaries. A fracture mechanics based model has been developed to combine the effect of tilt and twist angles between cleavage planes on the reduction in normalized energy…

Materials Science · Physics 2019-02-13 Vipul Jain , Arya Chatterjee , S. Patra , D. Chakrabarti , A. Ghosh

This paper presents a formulation for brittle fracture in 3D elastic solids within the context of configurational mechanics. The local form of the first law of thermodynamics provides a condition for equilibrium of the crack front. The…

Computational Engineering, Finance, and Science · Computer Science 2017-08-02 Lukasz Kaczmarczyk , Zahur Ullah , Chris J. Pearce

The opening profile of the cracks produced in the Double Cleavage Drilled Compression (DCDC) specimens for brittle materials is investigated. The study is achieved by combining Finite Element simulations of a DCDC linear elastic medium with…

Inspired by the observation that many naturally occurring adhesives arise as textured thin films, we consider the displacement controlled peeling of a flexible plate from an incision-patterned thin adhesive elastic layer. We find that crack…

Soft Condensed Matter · Physics 2009-11-10 A. Ghatak , L. Mahadevan , J. Y. Chung , M. K. Chaudhury , V. Shenoy

A theoretical study based on dimensional analysis and fractal geometry of crack profiles is proposed to establish the relation between their fractal dimension D (1<D<2) and the parameters defining the fatigue crack propagation rate. The…

Materials Science · Physics 2014-10-02 Marco Paggi , Oleg Plekhov

We investigate the morphology and mechanics of a naturally curved elastic arch loaded at its center and frictionally supported at both ends on a flat, rigid substrate. Through systematic numerical simulations, we classify the observed…

Soft Condensed Matter · Physics 2026-01-05 Keisuke Yoshida , Hirofumi Wada

We study anomalous scaling and multiscaling of two-dimensional crack profiles in the random fuse model using both periodic and open boundary conditions. Our large scale and extensively sampled numerical results reveal the importance of…

Statistical Mechanics · Physics 2008-04-15 Phani K. V. V. Nukala , Stefano Zapperi , Mikko Alava , Srdjan Simunovic

We consider a two dimensional lattice model to describe the opening of a crack in hydraulic fracturing. In particular we consider that the material only breaks under tension and the fluid has no pressure drop inside the crack. For the case…

Condensed Matter · Physics 2009-10-22 F. Tzschichholz , H. J. Herrmann

We propose a theoretical model for branching instabilities in 2-dimensional fracture, offering predictions for when crack branching occurs, how multiple cracks develop, and what is the geometry of multiple branches. The model is based on…

Materials Science · Physics 2009-11-10 Eran Bouchbinder , Joachim Mathiesen , Itamar Procaccia

In this work the dynamics of a freely jointed random chain which fluctuates at constant temperature in some viscous medium is studied. The chain is regarded as a system of small particles which perform a brownian motion and are subjected to…

Statistical Mechanics · Physics 2015-05-13 Franco Ferrari , Jaroslaw Paturej , Thomas A. Vilgis

It has been shown that temperature cycles on airless bodies of our Solar System can cause damaging of surface materials. Nevertheless, propagation mechanisms in the case of space objects are still poorly understood. Present work combines a…

Earth and Planetary Astrophysics · Physics 2021-02-04 D. Uribe , M. Delbo , P. -O. Bouchard , D. Pino Muñoz

The accurate measurement of fracture resistance in elastomers is essential for predicting the mechanical limits of soft devices. Usually, this is achieved by performing tearing or peeling experiments on thin-sheet samples. Here, we show…

Soft Condensed Matter · Physics 2023-06-12 Nan Xue , Rong Long , Eric R. Dufresne , Robert W. Style

The properties of slow crack growth in brittle materials are analyzed both theoretically and experimentally. We propose a model based on a thermally activated rupture process. Considering a 2D spring network submitted to an external load…

Materials Science · Physics 2009-11-13 Stéphane Santucci , Loic Vanel , Sergio Ciliberto

This paper deals with the theoretical and numerical analysis of dynamic fracture of dissimilar chain consisting of masses lined by springs. Such a structure exhibits quite different dynamic properties in comparison with a symmetrical…

Soft Condensed Matter · Physics 2017-09-11 Nikolai Gorbushin , Gennady Mishuris

We investigate numerically the dynamics of crack propagation along a weak plane using a model consisting of fibers connecting a soft and a hard clamp. This bottom-up model has previously been shown to contain the competition of two crack…

Disordered Systems and Neural Networks · Physics 2013-08-28 Knut Skogstrand Gjerden , Arne Stormo , Alex Hansen

The main steps of the proof of the existence result for the quasi-static evolution of cracks in brittle materials, obtained in [7] in the vector case and for a general quasiconvex elastic energy, are presented here under the simplifying…

Analysis of PDEs · Mathematics 2016-09-07 Gianni Dal Maso , Gilles A. Francfort , Rodica Toader