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相关论文: Mode I crack tip fields: strain gradient plasticit…

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A finite element framework is presented for the analysis of crack-tip phenomena in an elastic material containing a single edge crack under compressive loading. The mechanical response of the material is modeled by a nonlinear constitutive…

数值分析 · 数学 2025-08-12 Dambaru Bhatta , Saugata Ghosh , S. M. Mallikarjunaiah

We present a gradient-based theoretical framework for predicting hydrogen assisted fracture in elastic-plastic solids. The novelty of the model lies in the combination of: (i) stress-assisted diffusion of solute species, (ii) strain…

材料科学 · 物理学 2020-07-15 Philip K. Kristensen , Christian F. Niordson , Emilio Martínez-Pañeda

A dynamic crack will travel in a straight path up to a material-dependent critical speed beyond which its path becomes erratic. Predicting this critical speed and discovering the origin of this instability are two outstanding problems in…

材料科学 · 物理学 2015-06-25 Farid F. Abraham

We study a class of models for brittle fracture: elastic theory models which allow for cracks but not for plastic flow. We show that these models exhibit, at all finite temperatures, a transition to fracture under applied load similar to…

材料科学 · 物理学 2009-10-28 Alex Buchel , James P. Sethna

Built on the tenets of rational thermodynamics, this article proposes a theory of strain gradient thermo-visco-plasticity for isotropic polycrystalline materials under high strain rates. The effect of micro-inertia, which arises due to…

材料科学 · 物理学 2016-01-28 Md M Rahaman , A Pathak , D Roy , J N Reddy

We present high resolution measurements of the displacement and strain fields near the tip of a dynamic (Mode I) crack. The experiments are performed on polyacrylamide gels, brittle elastomers whose fracture dynamics mirror those of typical…

材料科学 · 物理学 2009-11-13 Ariel Livne , Eran Bouchbinder , Jay Fineberg

In this paper we are concerned with the problem of a crack lying at the interface between dissimilar materials with microstructure undergoing antiplane deformations. The micropolar behaviour of the materials is described by the theory of…

数学物理 · 物理学 2011-04-05 Andrea Piccolroaz , Gennady Mishuris , Enrico Radi

A dynamic crack tip equation of motion is proposed based on the autonomy of the near-tip nonlinear zone of scale $\ell_{nl}$, symmetry principles, causality and scaling arguments. Causality implies that the asymptotic linear-elastic fields…

材料科学 · 物理学 2015-05-13 Eran Bouchbinder

A crystal plasticity theory was developed for use in simulations of dynamic loading at high pressures and strain rates. At pressures of the order of the bulk modulus, compressions o(100%) may be induced. At strain rates o(10^9)/s or higher,…

材料科学 · 物理学 2008-04-10 Damian C. Swift , Eric N. Loomis , Pedro Peralta , Bassem El-Dasher

We study the relation between a threshold-force based model at the microscopic scale and mode I fracture at the macroscopic scale in a system of discrete interacting springs. Specifically, we idealize the contact between two surfaces as…

软凝聚态物质 · 物理学 2016-06-13 Srivatsan Hulikal , Kaushik Bhattacharya , Nadia Lapusta

The sensitivity of crack growth resistance to the choice of isotropic or kinematic hardening is investigated. Monotonic mode I crack advance under small scale yielding conditions is modelled via a cohesive zone formulation endowed with a…

材料科学 · 物理学 2018-07-18 Emilio Martínez-Pañeda , Norman A. Fleck

We continue our study of the exact solutions for steady-state cracks in ideally brittle viscoelastic lattice models by focusing on mode I in a triangular system. The issues we address include the crack velocity versus driving curve as well…

材料科学 · 物理学 2007-05-23 Leonid Pechenik , Herbert Levine , David A. Kessler

Developing a unified theory describing both ductile and brittle yielding constitutes a fundamental challenge of non-equilibrium statistical physics. Recently, it has been proposed that the nature of the yielding transition is controlled by…

软凝聚态物质 · 物理学 2024-11-22 Jack T. Parley , Peter Sollich

Strain gradient plasticity theories are being widely used for fracture assessment, as they provide a richer description of crack tip fields by incorporating the influence of geometrically necessary dislocations. Characterizing the behavior…

数值分析 · 数学 2017-11-29 Emilio Martínez-Pañeda , Sundar Natarajan , Stéphane Bordas

The surface stress can have important effects on the elastic properties of nano-sized structures. Here we analyze the effect of surface stress on Mode-3 crack displacement and stress-field solutions under the assumption of linear…

其他凝聚态物理 · 物理学 2007-05-23 Tarun Grover

We discuss steady state crack growth in the spirit of a free boundary problem. It turns out that mode I and mode III situations are very different from each other: In particular, mode III exhibits a pronounced transition towards unstable…

材料科学 · 物理学 2009-11-13 R. Spatschek , E. A. Brener , D. Pilipenko

The response of amorphous materials to an applied strain can be continuous, or instead display a macroscopic stress drop when a shear band nucleates. Such discontinuous response can be observed if the initial configuration is very stable.…

软凝聚态物质 · 物理学 2018-10-17 Marko Popović , Tom W. J. de Geus , Matthieu Wyart

Crack initiation and propagation in elastic - perfectly plastic bodies is studied in a phase-field or variational gradient damage formulation. A rate-independent formulation that naturally couples elasticity, perfect plasticity and fracture…

计算工程、金融与科学 · 计算机科学 2019-06-26 Stella Brach , Erwan Tanné , Blaise Bourdin , Kaushik Bhattacharya

Due to their superior fatigue strength, martensitic steels are the material of choice for high cyclic loading applications such as coil springs. However, crack propagation is influenced by residual stresses and their interaction is poorly…

The present work deals with the problem of a semi-infinite crack steadily propagating in an elastic body subject to plane-strain shear loading. It is assumed that the mechanical response of the body is governed by the theory of…

数学物理 · 物理学 2014-05-14 P. A. Gourgiotis , A. Piccolroaz