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The purpose of this paper is to provide analytical and numerical solutions of the formation and evolution of the localized plastic zone in a uniaxially loaded bar with variable cross-sectional area. An energy-based variational approach is…

材料科学 · 物理学 2023-07-19 Ondřej Rokoš , Jan Zeman , Milan Jirásek

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

Heterogeneous materials, such as rocks and concrete, have a complex dynamics including hysteresis, nonlinear elasticity and viscoelasticity. It is very sensitive to microstructural changes and damage. The goal of this paper is to propose a…

经典物理 · 物理学 2014-12-10 Nicolas Favrie , Bruno Lombard , Cédric Payan

In this contribution, a variational diffuse modeling framework for cracks in heterogeneous media is presented. A static order parameter smoothly bridges the discontinuity at material interfaces, while an evolving phase-field captures the…

材料科学 · 物理学 2021-04-07 Arne Claus Hansen-Dörr , Jörg Brummund , Markus Kästner

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

The propagation of cracks driven by a pressurized fluid emerges in several areas of engineering, including structural, geotechnical, and petroleum engineering. We present a robust numerical framework to simulate fluid-driven fracture…

计算工程、金融与科学 · 计算机科学 2023-07-19 Bianca Giovanardi , Santiago Serebrinsky , Raul Radovitzky

We formulate a nonlocal cohesive model for calculating the deformation state inside a cracking body. In this model a more complete set of physical properties including elastic and softening behavior are assigned to each point in the medium.…

偏微分方程分析 · 数学 2015-07-14 Robert Lipton

When a crack propagate in a viscoelastic solid energy dissipation can occur very far from the crack tip where the stress field may be very different from the $r^{-1/2}$ singular form expected close to the crack tip. Most theories of crack…

软凝聚态物质 · 物理学 2020-09-16 B. N. J. Persson

This paper presents a macroscopic theory, alongside its numerical implementation, aimed at describing, explaining, and predicting the nucleation and propagation of fracture in viscoelastic materials subjected to quasistatic loading…

软凝聚态物质 · 物理学 2025-06-23 Farhad Kamarei , Evan Breedlove , Oscar Lopez-Pamies

Using an elastostatic description of crack growth based on the Griffith criterion and the principle of local symmetry, we present a stochastic model describing the propagation of a crack tip in a 2D heterogeneous brittle material. The model…

材料科学 · 物理学 2007-05-23 E. Katzav , M. Adda-Bedia , B. Derrida

Ductile fracture through void growth and coalescence depends significantly on the plastic anisotropy of the material and on void size, as shown by experiments and/or numerical simulations through several studies. Macroscopic (homogenized)…

材料科学 · 物理学 2017-10-11 V. Gallican , J. Hure

When a crack interacts with material heterogeneities, its front distorts and adopts complex tortuous configurations that are reminiscent of the energy barriers encountered during crack propagation. As such, the study of crack front…

材料科学 · 物理学 2023-01-03 Mathias Lebihain , Thibault Roch , Jean-François Molinari

We explore the Mode I fracture toughness of a polymer gel containing a semi-infinite, growing crack. First, an expression is derived for the energy release rate within the linearized, small-strain setting. This expression reveals a crack…

软凝聚态物质 · 物理学 2016-05-09 Giovanni Noselli , Alessandro Lucantonio , Robert M. McMeeking , Antonio DeSimone

In this paper we study a rate-independent system for the propagation of damage and plasticity. To construct solutions we resort to approximation in terms of viscous evolutions, where viscosity affects both damage and plasticity with the…

偏微分方程分析 · 数学 2024-09-02 Vito Crismale , Giuliano Lazzaroni , Riccarda Rossi

Crack fronts deform due to heterogeneities, and inspecting these deformations can reveal local variations of material properties, and help predict out of plane damage. Current models neglect the influence of a finite dissipation…

材料科学 · 物理学 2022-06-10 Thibault Roch , Mathias Lebihain , Jean-François Molinari

We investigate the influence of microstructural traps in hydrogen-assisted fatigue crack growth. To this end, a new formulation combining multi-trap stress-assisted diffusion, mechanism-based strain gradient plasticity and a hydrogen- and…

材料科学 · 物理学 2022-04-15 R. Fernández-Sousa , C. Betegón , E. Martínez-Pañeda

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

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

A numerical framework for simulating progressive failure under high-cycle fatigue loading is validated against experiments of composite quasi-isotropic open-hole laminates. Transverse matrix cracking and delamination are modeled with a…

计算工程、金融与科学 · 计算机科学 2024-05-06 P. Hofman , F. P. van der Meer , L. J. Sluys

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