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In spite of the growing body of evidence against it, the elasticity view of the phenomenon of cavitation in elastomers continues to be utilized in numerous studies. In this context, the main objective of this paper is to provide a…

软凝聚态物质 · 物理学 2023-12-25 Evan Breedlove , Chao Chen , David Lindeman , Oscar Lopez-Pamies

We introduce a class of models based on near crack tip degradation of materials that can account for fracture growth under cyclic loads below the Griffith threshold. We incorporate the gradual degradation due to a cyclic load through a flow…

材料科学 · 物理学 2019-06-26 Ataollah Mesgarnejad , Anahita Imanian , Alain Karma

Crack growth is the basic mechanism leading to the failure of brittle materials. Engineering addresses this problem within the framework of continuum mechanics, which links deterministically the crack motion to the applied loading. Such an…

统计力学 · 物理学 2018-12-26 Jonathan Barés , Daniel Bonamy

The nucleation and/or growth of cracks in elastic-brittle solids has been recently described in [14] in terms of a special class of measures and with a variational technique requiring the minimization of a certain energy over classes of…

数学物理 · 物理学 2010-01-21 Paolo Maria Mariano

The focus of the article is on fracture criteria for dynamic crack propagation in elastic materials with microstructures. Steady-state propagation of a Mode III semi-infinite crack subject to loading applied on the crack surfaces is…

材料科学 · 物理学 2013-09-11 L. Morini , A. Piccolroaz , G. Mishuris , E. Radi

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

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

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

The fatigue fracture surfaces of a metallic alloy, and the stress corrosion fracture surfaces of glass are investigated as a function of crack velocity. It is shown that in both cases, there are two fracture regimes, which have a well…

材料科学 · 物理学 2009-10-28 P. Daguier , B. Nghiem , E. Bouchaud , F. Creuzet

In this paper the problem of a plane strain hydraulic fracture in elasto-plastic material is analyzed. The analysis is based on Finite Element Method computations of crack propagation and closure to simulate the Mini-Frac calibration test.…

材料科学 · 物理学 2022-12-06 Michal Wrobel , Panos Papanastasiou , Martin Dutko

We provide a clear energetic insight into the catastrophic nature of the so-called creasing and pull-in instabilities in soft electro-active elastomers. These phenomena are ubiquitous for thin electro-elastic plates and are a major obstacle…

软凝聚态物质 · 物理学 2017-02-22 Giuseppe Zurlo , Michel Destrade , Domenico DeTommasi , Giuseppe Puglisi

This study numerically investigated the friction of viscoelastic objects with grooves. A 3D viscoelastic block with grooves on a rigid substrate is slowly pushed from the lateral side under uniform pressure on the top surface. The local…

材料科学 · 物理学 2024-01-19 Wataru Iwashita , Hiroshi Matsukawa , Michio Otsuki

Ever since its publication, the Griffith theory is the most widely used criterion for estimating the ideal strength and fracture strength of materials depending on whether the materials contain cracks or not. A Griffith strength limit of…

材料科学 · 物理学 2020-12-14 Zhao Liu , Biao Wang

Fatigue fracture is one of the main causes of failure in structures. However, the simulation of fatigue crack growth is computationally demanding due to the large number of load cycles involved. Metals in the low cycle fatigue range often…

计算物理 · 物理学 2024-11-11 Martha Kalina , Tom Schneider , Haim Waisman , Markus Kästner

The effect of geometrical shape of eroding absolutely rigid particles on the threshold rate of failure has been studied. The Shtaerman-Kilchevsky theory of quasi-static blunt impact, which generalizes Hertz's classical impact theory, is…

经典物理 · 物理学 2015-06-04 I. I. Argatov , G. S. Mishuris , Yu. V. Petrov

In the limit of vanishing lattice spacing we provide a rigorous variational coarse-graining result for a next-to-nearest neighbor lattice model of a simple crystal. We show that the $\Gamma$-limit of suitable scaled versions of the model…

偏微分方程分析 · 数学 2024-07-08 Annika Bach , Marco Cicalese , Adriana Garroni , Gianluca Orlando

For monodomain nematic elastomers, we construct generalised elastic-nematic constitutive models combining purely elastic and neoclassical-type strain-energy densities. Inspired by recent developments in stochastic elasticity, we extend…

软凝聚态物质 · 物理学 2020-03-17 L. Angela Mihai , Alain Goriely

The hysteresis or internal friction in the deformation of crystalline solids stressed cyclically is studied from the viewpoint of collective dislocation dynamics. Stress-controlled simulations of a dislocation dynamics model at various…

材料科学 · 物理学 2015-06-11 Lasse Laurson , Mikko J. Alava

In the phase-field modeling of brittle fracture, anisotropic constitutive assumptions for the degradation of stored elastic energy due to fracture are crucial to preventing cracking in compression and obtaining physically sound numerical…

数值分析 · 数学 2018-05-22 Fei Zhang , Weizhang Huang , Xianping Li , Shicheng Zhang

In this review article we consider the crack growth resistance ofmicrometer and submicrometer sized samples from the fracture mechanics point of view. Standard fracture mechanics test procedures were developed for macroscale samples, and…

材料科学 · 物理学 2020-09-14 Reinhard Pippan , Stefan Wurster , Daniel Kiener