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This paper rigorously analyzes bond failure in the peridynamic theory of solid mechanics, which is a fundamental component of fracture modeling. We compare analytically and numerically two common bond-failure criteria:~{\em critical…

材料科学 · 物理学 2026-02-13 Pablo Seleson , Pablo Raúl Stinga , Mary Vaughan

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

Tire wear releases millions of tons of particles annually, bearing immense industrial and environmental impact. However, efforts to mitigate the wear of elastomeric materials remain largely empirical, due to a limited understanding of the…

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

We study the stability and roughness of propagating cracks in heterogeneous brittle two-dimensional elastic materials. We begin by deriving an equation of motion describing the dynamics of such a crack in the framework of Linear Elastic…

无序系统与神经网络 · 物理学 2013-11-12 E. Katzav , M. Adda-Bedia

Propagation of a fluid-driven crack in an impermeable linear elastic medium under axis-symmetric conditions is investigated in the present work. The fluid exerting the pressure inside the crack is an incompressible Newtonian one and its…

数值分析 · 数学 2020-11-13 Francesca Fantoni , Alberto Salvadori

A layer of dielectric elastomer can be voltage actuated to behave as actuators, but needs to avoid the electromechanical instability of excessively thin down accompanied with electric breakdown. We develop a true method to analyze the…

软凝聚态物质 · 物理学 2016-06-22 Fengxian Xin , Tian Jian Lu

Elastomers that can sustain large reversible strain are essential components for stretchable electronics. The stretchability and mechanical robustness of unfilled elastomers can be enhanced by introducing easier-to-break cross-links, e.g.…

软凝聚态物质 · 物理学 2020-01-20 Yikai Yin , Nicolas Bertin , Yanming Wang , Zhenan Bao , Wei Cai

In this paper, we'll answer several abstract, formal questions about the nature of crack growth and nucleation. Bringing a field theory point of view to fracture illuminates things in what I hope will be an entertaining way. Formally, what…

材料科学 · 物理学 2007-05-23 James P. Sethna

In viscoelastic materials, individually short-lived bonds collectively result in a mechanical resistance which is long-lived but finite, as ultimately cracks appear. Here we provide a microscopic mechanism by which cracks emerge from the…

软凝聚态物质 · 物理学 2018-07-04 Yuval Mulla , Giorgio Oliveri , Johannes T. B. Overvelde , Gijsje H. Koenderink

This paper focuses on mechanical aspects of chromatin biological functioning. Within a basic geometric modeling of the chromatin assembly, we give for the first time the complete set of elastic constants (twist and bend persistence lengths,…

软凝聚态物质 · 物理学 2016-08-16 Eli Ben-Haïm , Annick Lesne , Jean-Marc Victor

In this paper we prove the existence of quasistatic evolutions for a cohesive fracture on a prescribed crack surface, in small-strain antiplane elasticity. The main feature of the model is that the density of the energy dissipated in the…

偏微分方程分析 · 数学 2018-02-13 Vito Crismale , Giuliano Lazzaroni , Gianluca Orlando

We investigate the fracture behavior of pre-cracked triangular beam-lattices whose elements have failure stresses drawn from a Weibull distribution. Through a statistical analysis and numerical simulations, we identify and verify the…

The fracture of materials is a catastrophic phenomenon of considerable technological and scientific importance. Here, we analysed experiments designed for industrial applications in order to test the concept that, in heterogeneous materials…

材料科学 · 物理学 2009-10-31 Anders Johansen , Didier Sornette

Fracture growth in a material is strongly influenced by the presence of inhomogeneities, which deviate crack trajectories from rectilinearity and deeply affect failure. Increasing crack tortuosity is connected to enhancement of fracture…

材料科学 · 物理学 2022-07-20 Riccardo Cavuoto , Pietro Lenarda , Diego Misseroni , Marco Paggi , Davide Bigoni

Fracture in a disordered lattice system is studied. In our system, particles are initially arranged on the triangular lattice and each nearest-neighbor pair is connected with a randomly chosen soft or hard Hookean spring. Every spring has…

软凝聚态物质 · 物理学 2013-05-29 Chiyori Urabe , Shinji Takesue

In this expository Note, it is shown that the Griffith phase-field theory of fracture accounting for material strength originally introduced by Kumar, Francfort, and Lopez-Pamies (J Mech Phys Solids 112, 523--551, 2018) in the form of PDEs…

偏微分方程分析 · 数学 2024-01-26 C. J. Larsen , J. E. Dolbow , O. Lopez-Pamies

Catastrophic failure of materials and structures due to unstable crack growth could be prevented if facture toughness could be enhanced at will through structural design, but how can this be possible if fracture toughness is a material…

生物物理 · 物理学 2015-03-18 Bin Liu , Yanjie Jia , He-Ling Wang , Huajian Gao

We perform traction experiments on viscous liquids highly confined between parallel plates, a geometry known as the probe-tack test in the adhesion community. Direct observation during the experiment coupled to force measurement shows the…

软凝聚态物质 · 物理学 2016-08-16 Jérémie Teisseire , F. Nallet , P. Fabre , Cyprien Gay

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