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On the basis of energy conservation law an without utilizing Linear Fracture Mechanics (LFM) postulates the equation of a real-structure material elastic-plastic fracture has been derived. With the help of this equation the force and energy…

材料科学 · 物理学 2013-06-13 Leonid S. Kremnev

A widespread framework for understanding frictional rupture, such as earthquakes along geological faults, invokes an analogy to ordinary cracks. A distinct feature of ordinary cracks is that their near edge fields are characterized by a…

软凝聚态物质 · 物理学 2021-05-11 Efim A. Brener , Eran Bouchbinder

Statistics and thermally activated dynamics of crack nucleation and propagation in a two-dimensional heterogeneous material containing quenched randomly distributed defects are studied theoretically. Using the generalized Griffith criterion…

无序系统与神经网络 · 物理学 2010-10-28 J. Kierfeld , V. M. Vinokur

Predicting when rupture occurs or cracks progress is a major challenge in numerous elds of industrial, societal and geophysical importance. It remains largely unsolved: Stress enhancement at cracks and defects, indeed, makes the macroscale…

软凝聚态物质 · 物理学 2017-11-21 Daniel Bonamy

In our previous paper (Eur. Phys. J. E 4, 121 (2001)) we proposed a coarse-grained elastic energy for nacre, or stratified structure of hard and soft layers. We then analyzed a crack running perpendicular to the layers and suggested one…

软凝聚态物质 · 物理学 2009-11-07 Ko Okumura

Fractures are a critical process in how materials wear, weaken, and fail whose unpredictable behavior can have dire consequences. While the behavior of smooth cracks in ideal materials is well understood, it is assumed that for real,…

材料科学 · 物理学 2022-10-05 Will Steinhardt , Shmuel M. Rubinstein

When a crack propagate in a viscoelastic solid energy dissipation can occur very far from the crack tip where the stress field may be very different from the $r^{-1/2}$ singular form expected close to the crack tip. Most theories of crack…

软凝聚态物质 · 物理学 2020-09-16 B. N. J. Persson

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…

经典物理 · 物理学 2018-08-15 Vasily E. Tarasov , Elias C. Aifantis

Important physical observations in rupture dynamics such as static fault friction, short-slip, self-healing, and supershear phenomenon in cracks are studied. A continuum model of rupture dynamics is developed using the field dislocation…

材料科学 · 物理学 2023-12-18 Abhishek Arora , Amit Acharya

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…

软凝聚态物质 · 物理学 2017-08-03 Nikolai Gorbushin , Gennady Mishuris

This paper presents a macroscopic theory, alongside its numerical implementation, aimed at describing, explaining, and predicting the nucleation and propagation of fracture in viscoelastic materials subjected to quasistatic loading…

软凝聚态物质 · 物理学 2025-06-23 Farhad Kamarei , Evan Breedlove , Oscar Lopez-Pamies

We investigate crack propagation in a simple two-dimensional visco-elastic model and find a scaling regime in the relation between the propagation velocity and energy release rate or fracture energy, together with lower and upper bounds of…

材料科学 · 物理学 2017-06-22 Yuko Aoyanagi , Ko Okumura

Experiments of pure tensile fracture in brittle gels reveal a new dynamic oscillatory instability whose onset occurs at a critical velocity, Vc = 0.87 Cs, where Cs is the shear wave speed. Until Vc crack dynamics are well described by…

材料科学 · 物理学 2015-06-25 Ariel Livne , Oded Ben-David , Jay Fineberg

We present a model for the thermally activated propagation of cracks in elastic matrices. The propagation is considered as a subcritical phenomenon, the kinetics of which being described by an Arrhenius law. In this law, we take the thermal…

In terms of nonlinear material fracture mechanics, the real (discrete)-structure material fracture model has been developed. The model rests on the demonstration of the fact that crack resistance $K_{1c}=2\sigma \sqrt l$ and fracture…

材料科学 · 物理学 2015-11-24 L. S. Kremnev

The classical variational approach to brittle fracture propagation does not distinguish between strain energy accumulation in tension versus compression and consequently results in physically unrealistic cracking under compression. A…

材料科学 · 物理学 2024-10-15 Chang Liu , Aditya Kumar

The interaction of crack fronts with asperities is central to the criteria of fracture in heterogeneous materials and for predicting fracture surface formation. It is known how dynamic crack fronts respond to small, 1st-order,…

软凝聚态物质 · 物理学 2025-09-17 Itamar Kolvin , Mokhtar Adda-Bedia

We show that the Persson-Brener theory of crack propagation in viscoelastic solids gives a viscoelastic fracture energy factor $G/G_0 = 1+f$ which is nearly the same as the viscoelastic factor obtained using the cohesive-zone model. We also…

软凝聚态物质 · 物理学 2021-04-06 B. N. J. Persson

In this paper we first obtain the order of stress singularity for a dynamically propagating self-affine fractal crack. We then show that there is always an upper bound to roughness, i.e. a propagating fractal crack reaches a terminal…

材料科学 · 物理学 2010-04-28 Arash Yavari , Hamed Khezrzadeh

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…

计算工程、金融与科学 · 计算机科学 2017-08-02 Lukasz Kaczmarczyk , Zahur Ullah , Chris J. Pearce