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Within the continuum dislocation theory the asymptotic analysis of the plane strain crack problem for a single crystal having only one active slip system on each half-plane is provided. The results of this asymptotic analysis show that the…

材料科学 · 物理学 2015-08-17 Khanh Chau Le , Van Nha Tran

For solving the longstanding materials science problem of correlating elastic properties of a solid material to the formation of cracks we present a new general concept. This concept is applied to the technologically most important cracks…

材料科学 · 物理学 2007-05-23 Petr Lazar , Raimund Podloucky , Walter Wolf

This work is concerned with the purely dissipative version of a well-established model of rate-independent strain-gradient plasticity. In the conventional theory of plasticity the approach to determining plastic flow is local, and based on…

经典物理 · 物理学 2020-08-26 B. D. Reddy , S. Sysala

This paper is concerned with the problem of a semi-infinite crack steadily propagating in an elastic solid with microstructures subject to antiplane loading applied on the crack surfaces. The loading is moving with the same constant…

数学物理 · 物理学 2012-07-17 G. Mishuris , A. Piccolroaz , E. Radi

We derive an analytical expression for the strain field during steady-state crack propagation in viscoelastic solids described by the standard linear solid (Zener) model. This expression reveals three regions in the fracture profile and in…

软凝聚态物质 · 物理学 2026-01-01 Hokuto Nagatakiya , Naoyuki Sakumichi , Shunsuke Kobayashi , Ryuichi Tarumi

Cracks, the major vehicle for material failure, tend to accelerate to high velocities in brittle materials. In three-dimensions, cracks generically undergo a micro-branching instability at about 40% of their sonic limiting velocity. Recent…

软凝聚态物质 · 物理学 2017-12-06 Chih-Hung Chen , Eran Bouchbinder , Alain Karma

This work presents a critical overview of the effects of different aspects of model formulation on crack path selection in quasi-static phase field fracture. We consider different evolution methods, mechanics formulations, fracture…

材料科学 · 物理学 2022-03-31 W. Beck Andrews , Lars Pastewka

The dynamics of a single crack moving through a heterogeneous medium is studied in the quasi-static approximation. Equations of motion for the crack front are formulated and the resulting scaling behaviour analyzed. In a model scalar system…

无序系统与神经网络 · 物理学 2009-10-28 Sharad Ramanathan , Deniz Ertaş , Daniel S. Fisher

To obtain the probability distribution of 2D crack patterns in mesoscopic regions of a disordered solid, the formalism of Paper I requires that a functional form associating the crack patterns (or states) to their formation energy be…

统计力学 · 物理学 2009-11-07 Renaud Toussaint , Steven R. Pride

We perform large scale simulations of a two dimensional lattice model for amorphous plasticity with random local yield stresses and long-range quadrupolar elastic interactions. We show that as the external stress increases towards the…

软凝聚态物质 · 物理学 2013-12-12 Zoe Budrikis , Stefano Zapperi

Elasto-plastic models are among the most successful ways to study the critical properties of the plastic yielding transition of amorphous solids. Typically these models are studied under a condition of constant transition rates from one…

统计力学 · 物理学 2017-12-05 E. A. Jagla

The effect of finite temperature $T$ and finite strain rate $\dot\gamma$ on the statistical physics of plastic deformations in amorphous solids made of $N$ particles is investigated. We recognize three regimes of temperature where the…

统计力学 · 物理学 2015-05-19 Smarajit Karmakar , Edan Lerner , Itamar Procaccia , Jacques Zylberg

As one of the most important topics studied in creep fracture mechanics, mechanics fields at three-dimensional (3D) sharp V-notches and crack tip have drawn tremendous attentions. With many years efforts on constraint theory developed in…

经典物理 · 物理学 2023-08-08 Weichen Kong , Yanwei Dai , Yinghua Liu

We present a systematic study of the effect of crack blunting on subsequent crack propagation and dislocation emission. We show that the stress intensity factor required to propagate the crack is increased as the crack is blunted by up to…

mtrl-th · 物理学 2009-10-30 J. Schiøtz , L. M. Canel , A. E. Carlsson

Fracture is a fundamental mechanism of materials failure. Propagating cracks can exhibit a rich dynamical behavior controlled by a subtle interplay between microscopic failure processes in the crack tip region and macroscopic elasticity. We…

材料科学 · 物理学 2015-05-18 R. Spatschek , E. Brener , A. Karma

In a previous paper (Leblond et al., 2011), we proposed a theoretical interpretation of the experimentally well known instability of coplanar crack propagation in mode I+III. The interpretation relied on a stability analysis based on…

软凝聚态物质 · 物理学 2019-03-27 Jean-Baptiste Leblond , Alain Karma , Laurent Ponson , Aditya Vasudevan

The paper addresses the problem of a Mode III interfacial crack advancing quasi-statically in a heterogeneous composite material, that is a two-phase material containing elastic inclusions, both soft and stiff, and defects, such as…

数学物理 · 物理学 2011-10-25 Andrea Piccolroaz , Gennady Mishuris , Alexander Movchan , Natasha Movchan

We formulate a phase field crack growth model for mode III fracture in a Maxwell-type viscoelastic material. To describe viscoelastic relaxation, a field variable of viscously flowed strain is employed in addition to a displacement field…

软凝聚态物质 · 物理学 2020-07-15 Yoshimi Tanaka , Takeshi Takaishi

This paper investigates the effects of plasticity on the effective fracture toughness. A layered material is considered as a modelling system. An elastic-plastic phase-field model and a surfing boundary condition are used to study how the…

计算工程、金融与科学 · 计算机科学 2020-10-15 Stella Brach

Motivated by recent experiments, we present a study of the dynamics of cracks in thin sheets. While the equations of elasticity for thin plates are well known, there remains the question of path selection for a propagating crack. We invoke…

材料科学 · 物理学 2015-05-18 Yossi Cohen , Itamar Procaccia