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Brittle materials under impact loading exhibit a transition from a cracked solid to a granular medium. Appropriate representation of this transition to granular mechanics and the resulting initial fragment size and shape distribution in…

Soft Condensed Matter · Physics 2022-02-02 Amartya Bhattacharjee , Ryan C. Hurley , Lori Graham-Brady

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

Most of the research concerting crack propagation in discrete media is concerned with specific types of external loading: displacements on the boundaries, or constant energy fluxes or feeding waves originating from infinity. In this paper…

Soft Condensed Matter · Physics 2017-08-03 Nikolai Gorbushin , Gennady Mishuris

In this study, the crack propagation of the pre-cracked mono-crystal nickel with the voids and inclusions has been investigated by molecular dynamics simulations. Different sizes of voids, inclusions and materials of inclusions are used to…

Computational Engineering, Finance, and Science · Computer Science 2020-08-13 Zhenxing Cheng , Hu Wang , Gui-Rong Liu , Guangyao Li

The growth dynamics of a single crack in a heterogeneous material under subcritical loading is an intermittent process; and many features of this dynamics have been shown to agree with simple models of thermally activated rupture. In order…

Disordered Systems and Neural Networks · Physics 2013-10-15 Osvanny Ramos , Pierre-Philippe Cortet , Sergio Ciliberto , Loïc Vanel

We analyse the statistical distribution function for the height fluctuations of brittle fracture surfaces using extensive experimental data sampled on widely different materials and geometries. We compare a direct measurement of the…

In this paper, the bending and the free flexural vibration behaviour of sandwich functionally graded material (FGM) plates are investigated using QUAD-8 shear flexible element developed based on higher order structural theory. This theory…

Numerical Analysis · Mathematics 2012-04-11 S. Natarajan , M. Ganapathi

The relation between fracture surface morphology and the three-dimensional structure of crack fronts is investigated through direct observation of brittle cracks in gels. A key notion in this investigation is the discontinuity of the crack…

Soft Condensed Matter · Physics 2009-10-31 Yoshimi Tanaka , Koji Fukao , Yoshihisa Miyamoto , Ken Sekimoto

While crack nucleation and propagation in the brittle or quasi-brittle regime can be predicted via variational or material-force-based phase field fracture models, these models often assume that the underlying elastic response of the…

Computational Engineering, Finance, and Science · Computer Science 2020-08-13 Hyoung Suk Suh , WaiChing Sun , Devin O'Connor

In this paper the problem of a plane strain hydraulic fracture propagating in an elasto-plastic material is analyzed. A new stress redistribution model for the proximity of the fracture tip is formulated and a resulting plasticity-dependent…

Materials Science · Physics 2022-01-13 Michal Wrobel , Panos Papanastasiou , Daniel Peck

Observations of galaxies over large distances reveal the possibility of a fractal distribution of their positions. The source of fractal behavior is the lack of a length scale in the two body gravitational interaction. However, even with…

Mathematical Physics · Physics 2007-05-23 Bruce N. Miller , Jean-Louis Rouet , Emmanuel Le Guirriec

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 fracture toughness of Al/SiC nanolaminates with different layer thicknesses (in the range 10 to 100 nm) was measured by means of micropillar splitting and bending of a notched beam. The crack plane was perpendicular to the layers in the…

Materials Science · Physics 2020-09-09 L. W. Yang , C. R. Mayer , N. Chawla , J. LLorca , J. M. Molina-Aldareguía

Fracture is the ultimate source of failure of amorphous carbon (a-C) films, however it is challenging to measure fracture properties of a-C from nano-indentation tests and results of reported experiments are not consistent. Here, we use…

Materials Science · Physics 2021-02-17 S. Mostafa Khosrownejad , James R. Kermode , Lars Pastewka

In this paper we consider extensions of the gradient elasticity models proposed earlier by the second author to describe materials with fractional non-locality and fractality using the techniques developed recently by the first author. We…

Classical Physics · Physics 2018-08-15 Vasily E. Tarasov , Elias C. Aifantis

The fracture toughness for a mode I/II crack propagating in a ductile material has been subject to numerous investigations. However, the influence of the material hardening law has received very limited attention, with isotropic hardening…

Materials Science · Physics 2018-12-18 Kristian J. Juul , Emilio Martínez-Pañeda , Kim L. Nielsen , Christian F. Niordson

Ductile damage models and cohesive laws incorporate the material plasticity entailing the growth of irrecoverable deformations even after complete failure. This unrealistic growth remains concealed until the unilateral effects arising from…

Computational Engineering, Finance, and Science · Computer Science 2023-12-04 Alireza Daneshyar , Leon Herrmann , Stefan Kollmannsberger

Crack advance from short or long pre-cracks is predicted by the progressive failure of a cohesive zone in a strain gradient, elasto-plastic solid. The presence of strain gradients leads to the existence of an elastic zone at the tip of a…

Continuum damage mechanics (CDM) is a popular framework for modelling crack propagation in solids. The CDM uses a damage parameter to quantitatively assess what one loosely calls `material degradation'. While this parameter is sometimes…

Computational Physics · Physics 2025-07-11 Ved Prakash , Upadhyayula M. M. A. Sai Gopal , Sanhita Das , Ananth Ramaswamy , Debasish Roy

Theoretical analyses and experiments have been carried out to investigate fracture behavior of glassy polymers. Our birefringence measurements quantify the local stress buildup at cut tip during different stages of drawing. Based on…

Soft Condensed Matter · Physics 2022-12-02 Travis Smith , Chaitanya Gupta , Caleb Carr , Shi-Qing Wang
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