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相关论文: Cohesive fracture with irreversibility: quasistati…

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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

This paper consists of two parts. In the first part we prove the unique solvability for the abstract variational-hemivariational inequality with history-dependent operator. The proof is based on the existing result for the static…

偏微分方程分析 · 数学 2016-08-17 Justyna Ogorzaly

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

Continuum mechanics describes compressive failure as a standard bifurcation in the response of a material to an increasing load: damage, which initially grows uniformly in the material, localizes within a thin band at failure. Yet,…

统计力学 · 物理学 2023-11-06 Ashwij Mayya , Estelle Berthier , Laurent Ponson

We have examined a class of cohesive-zone models of dynamic mode-I fracture, looking both at steady-state crack propagation and its stability against out-of-plane perturbations. Our work is an extension of that of Ching, Langer, and…

材料科学 · 物理学 2009-10-30 J. S. Langer , Alexander E. Lobkovsky

The strength of quasi-brittle materials depends on the ensemble of defects inside the sample and on the way damage accumulates before failure. Using large scale numerical simulations of the random fuse model, we investigate the evolution of…

统计力学 · 物理学 2015-06-16 Claudio Manzato , Mikko J. Alava , Stefano Zapperi

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

An effective model is identified for thin perfectly plastic plates whose microstructure consists of the periodic assembling of two elastoplastic phases, as the periodicity parameter converges to zero. Assuming that the thickness of the…

偏微分方程分析 · 数学 2022-12-06 Marin Bužančić , Elisa Davoli , Igor Velčić

The failure of frictional interfaces -- the process of frictional rupture -- is widely assumed to feature crack-like properties, with far-reaching implications for various disciplines, ranging from engineering tribology to earthquake…

This paper is devoted to the variational derivation of reduced models for elastic membranes with fracture under constraints on the determinant of the deformation gradient. We consider two physically relevant settings: the…

偏微分方程分析 · 数学 2026-03-24 Nicola Pio Melillo , Dario Reggiani

Needs to impart appropriate elasticity and high toughness to viscoelastic polymer materials are ubiquitous in industries such as concerning automobiles and medical devices. One of the major problems to overcome for toughening is…

软凝聚态物质 · 物理学 2017-08-29 Naoyuki Sakumichi , Ko Okumura

Finite element calculations of dynamic fracture based on embedding cohesive surfaces in a continuum indicate that the predictions are sensitive to the cohesive law used. Simulations were performed on a square block in plane strain with an…

材料科学 · 物理学 2007-05-23 Michael L. Falk , Alan Needleman , James R. Rice

When a elastic body is moved quasistatically back and forth over a surface, the friction of the interface is experimentally observed to circulate through a hysteretic loop. The asymptotic behaviour of the hysteresis loop is approached…

统计力学 · 物理学 2008-02-03 Lydéric Bocquet , Henrik Jeldtoft Jensen

Quasicrystals are characterized by quasi-periodic arrangements of atoms. The description of their mechanics involves deformation and a (so called phason) vector field accounting at macroscopic scale of local phase changes, due to atomic…

数学物理 · 物理学 2015-11-23 Luca Bisconti , Paolo Maria Mariano

We study two closely related, nonlinear models of a viscoplastic solid. These models capture essential features of plasticity over a wide range of strain rates and applied stresses. They exhibit inelastic strain relaxation and steady flow…

材料科学 · 物理学 2009-10-31 Alexander E. Lobkovsky , J. S. Langer

This paper investigates correlation properties of fluctuations in fatigue crack growth of polycrystalline materials, such as ductile alloys, that are commonly encountered in structures and machinery components of complex electromechanical…

材料科学 · 物理学 2015-06-25 Nicola Scafetta , Asok Ray , Bruce J. West

Peridynamics is a nonlocal continuum-mechanical theory based on minimal regularity on the deformations. Its key trait is that of replacing local constitutive relations featuring spacial differential operators with integrals over differences…

偏微分方程分析 · 数学 2018-05-23 Martin Kružík , Carlos Mora-Corral , Ulisse Stefanelli

We consider a model of fragmentation of sheet by cracks that move with a velocity in preferred direction, but undergo random transverse displacements as they move. There is a non-zero probability of crack-splitting, and the split cracks…

统计力学 · 物理学 2015-06-23 Deepak Dhar

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

We report three-dimensional particle mechanics static calculations that predict the microstructure evolution during die-compaction of elastic spherical particles up to relative densities close to one. We employ a nonlocal contact…

软凝聚态物质 · 物理学 2016-08-03 Marcial Gonzalez , Alberto M. Cuitino