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In this study, we investigate experimentally and numerically the mode I intra-laminar fracture and size effect of Discontinuous Fiber Composites (DFCs) as a function of the structure thicknesses. By testing geometrically-scaled Single Edge…

Applied Physics · Physics 2019-03-27 Seunghyun Ko , James Davey , Sam Douglass , Jinkyu Yang , Mark E. Tuttle , Marco Salviato

We study atomistically the fracture of single crystal silicon at atomically sharp notches with opening angles of 0 degrees (a crack), 70.53 degrees, 90 degrees and 125.3 degrees. Such notches occur in silicon that has been formed by etching…

Materials Science · Physics 2007-05-23 Nicholas P. Bailey , James P. Sethna

We consider an alternative way of obtaining the effective elastic properties of a cracked medium. Similarly, to the popular linear-slip model, we assume flat, parallel fractures, and long wavelengths. However, we do not treat fractures as…

Geophysics · Physics 2021-09-01 Filip P. Adamus

The enforcement of global energy conservation in phase-field fracture simulations has been an open problem for the last 25 years. Specifically, the occurrence of unstable fracture is accompanied by a loss in total potential energy, which…

Materials Science · Physics 2026-01-01 Juan Michael Sargado , Joachim Mathiesen

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

Due to their microstructure, quasi brittle materials present rough cracks. Under sliding of the crack lips, this roughness involves in one hand induced opening and in the other hand some apparent plasticity which is due to the interlocking…

Classical Physics · Physics 2009-11-30 Marc Louis Maurice François

We review microstructural fracture growth models suitable for the study of hydraulic fracture processes in disordered porous materials and present some basic results. It is shown that microstructural models exhibit certain similarities to…

Materials Science · Physics 2007-05-23 F. Tzschichholz , M. Wangen

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

A mathematical continuum limit of the interaction energy of a random particle chain is shown to yield new insight into the effect of microscopic heterogeneities on macroscopic fracture laws in brittle materials. We derive a formula which…

Analysis of PDEs · Mathematics 2021-04-20 Laura Lauerbach , Anja Schlömerkemper

With the fundamental objective of establishing the universality of the Griffith energy competition to describe the growth of large cracks in solids \emph{not} just under monotonic but under general loading conditions, this paper puts forth…

Other Condensed Matter · Physics 2024-04-23 Subhrangsu Saha , John E. Dolbow , Oscar Lopez-Pamies

Stress enhancement in the vicinity of brittle cracks makes the macro-scale failure properties extremely sensitive to the micro-scale material disorder. Therefore: (i) Fracturing systems often display a jerky dynamics, so-called crackling…

Statistical Mechanics · Physics 2010-01-04 D. Bonamy

We present a phase field formulation for fracture in functionally graded materials (FGMs). The model builds upon homogenization theory and accounts for the spatial variation of elastic and fracture properties. Several paradigmatic case…

Materials Science · Physics 2019-04-19 Hirshikesh , Sundararajan Natarajan , Ratna K. Annabattula , Emilio Martínez-Pañeda

The shear strength of a pre-cracked sandwich layer is predicted, assuming that the layer is linear elastic or elastic-plastic, with yielding characterized by either J2 plasticity theory or by a strip-yield model. The substrates are elastic…

Materials Science · Physics 2020-01-08 E. Martínez-Pañeda , I. I. Cuesta , N. A. Fleck

As graphene became one of the most important materials today, there is a renewed interest on others similar structures. One example is silicene, the silicon analogue of graphene. It share some the remarkable graphene properties, such as the…

Mesoscale and Nanoscale Physics · Physics 2014-10-06 T. Botari , E. Perim , P. A. S. Autreto , A. C. T. van Duin , R. Paupitz , D. S. Galvao

We study the fatigue fracture of disordered materials by means of computer simulations of a discrete element model. We extend a two-dimensional fracture model to capture the microscopic mechanisms relevant for fatigue, and we simulate the…

Disordered Systems and Neural Networks · Physics 2009-11-11 H. A. Carmona , F. Kun , J. S. Andrade , H. J. Herrmann

Soft materials including elastomers and gels are pervasive in biological systems and technological applications. Whereas it is known that intrinsic fracture energies of soft materials are relatively low, how the intrinsic fracture energy…

Soft Condensed Matter · Physics 2015-06-16 Teng Zhang , Shaoting Lin , Hyunwoo Yuk , Xuanhe Zhao

Material strength is a classical concept with renewed importance in fracture mechanics, particularly in crack nucleation in brittle solids. We formulate material strength in finite elasticity and examine its geometric, constitutive, and…

Materials Science · Physics 2026-05-05 Arash Yavari , Aditya Kumar

Recent experimental studies have observed a surprisingly wide range of strengths in polycrystalline graphene. Previous computational investigations of graphene tilt boundaries have highlighted the role of interfacial topology in determining…

Materials Science · Physics 2025-09-23 Matthew Daly , Chandra Veer Singh

Through controlled numerical simulations in a one dimensional fiber bundle model with local stress concentration, we established an inverse correlation between the strength of the material and the cracks which grow inside it - both the…

Statistical Mechanics · Physics 2024-02-20 Viswakannan R. K. , Subhadeep Roy

We investigate the approach to catastrophic failure in a model porous granular material undergoing uniaxial compression. A discrete element computational model is used to simulate both the micro-structure of the material and the complex…

Disordered Systems and Neural Networks · Physics 2014-02-27 F. Kun , I. Varga , S. Lennartz-Sassinek , I. G. Main