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A probabilistic approach to phase-field brittle and ductile fracture with random material and geometric properties is proposed within this work. In the macroscopic failure mechanics, materials properties and exactness of spatial quantities…

数值分析 · 数学 2022-08-10 Nima Noii , Amirreza Khodadadian , Fadi Aldakheel

In this paper, the effect of local defects, viz., cracks and cutouts on the buckling behaviour of functionally graded material plates subjected to mechanical and thermal load is numerically studied. The internal discontinuities, viz.,…

数值分析 · 数学 2013-11-14 S Natarajan , S Chakraborty , M Ganapathi , M Subramaniam

The relevant parameters at the microstructure scale that govern the macroscopic toughness of disordered brittle materials are investigated theoretically. We focus on planar crack propagation and describe the front evolution as the…

无序系统与神经网络 · 物理学 2014-02-25 Vincent Démery , Laurent Ponson , Alberto Rosso

A phase field model of a crack front propagating in a three dimensional brittle material is used to study the fractographic patterns induced by the branching instability. The numerical results of this model give rise to crack surfaces that…

软凝聚态物质 · 物理学 2014-01-09 H. Henry , M. Adda-Bedia

Understanding crack propagation in structures subjected to fluid loads is crucial in various engineering applications, ranging from underwater pipelines to aircraft components. This study investigates the dynamic response of structures,…

计算工程、金融与科学 · 计算机科学 2023-10-06 Md Rushdie Ibne Islam

Crack propagation is studied numerically using a continuum phase-field approach to mode III brittle fracture. The results shed light on the physics that controls the speed of accelerating cracks and the characteristic branching instability…

材料科学 · 物理学 2009-11-10 Alain Karma , Alexander E. Lobkovsky

Elastomeric materials display a complicated set of stretchability and fracture properties that strongly depend on the flaw size, which has long been of interest to engineers and materials scientists. Here, we combine experiments and…

软凝聚态物质 · 物理学 2024-09-12 Jaehee Lee , Jeongun Lee , Seounghee Yun , Sanha Kim , Howon Lee , Shawn A. Chester , Hansohl Cho

We have studied the low speed fracture regime for different glassy materials with variable but controlled length scales of heterogeneity in a carefully mastered surrounding atmosphere. By using optical and atomic force (AFM) microscopy…

统计力学 · 物理学 2015-06-24 F. Celarie , S. Prades , D. Bonamy , A. Dickele , L. Ferrero , E. Bouchaud , C. Guillot , C. Marliere

Fracture is a very challenging and complicated problem with various applications in engineering and physics. Although it has been extensively studied within the context of mesh-based numerical techniques, such as the finite element method…

数值分析 · 数学 2022-06-28 Mohammad Naqib Rahimi , Georgios Moutsanidis

We address the prediction of ductile damage and material anisotropy accumulated during plastic deformation of metals. A new model of phenomenological metal plasticity is proposed which is suitable for applications involving large…

材料科学 · 物理学 2015-04-01 A. V. Shutov , C. B. Silbermann , J. Ihlemann

At present, there is an abundance of results showing that the phase-field approach to fracture in elastic brittle materials -- when properly accounting for material strength -- describes the \emph{nucleation} of fracture from large…

软凝聚态物质 · 物理学 2025-05-12 F. Kamarei , E. Breedlove , O. Lopez-Pamies

The slow motion of a crack line is studied via an experiment in which sheets of paper are split into two halves in a ``peel-in-nip'' (PIN) geometry under a constant load, in creep. The velocity-force relation is exponential. The dynamics of…

统计力学 · 物理学 2009-11-13 J. Koivisto , J. Rosti , M. J. Alava

Molecular-dynamics simulations of fracture in metallic glass-like systems are observed to undergo embrittlement due to a small change in interatomic potential. This change in fracture toughness, however, is not accompanied by a…

材料科学 · 物理学 2009-10-31 M. L. Falk

The image fractal analysis is actively used in all science branches. In particular in materials science the fractal analysis is applied to study microstructure of deformed metals because its structure can be interpreted as the fractal…

材料科学 · 物理学 2012-05-01 Anatoliy Zavdoveev , Yan Beygelzimer , Victor Varyukhin , Boris Efros

This paper is devoted to the mechanics of fractal materials. A continuum framework accounting for the topological and metric properties of fractal domains in heterogeneous media is developed. The kinematics of deformations is elucidated and…

材料科学 · 物理学 2014-09-23 Alexander S. Balankin

The response of metals and their microstructures under extreme dynamic conditions can be markedly different from that under quasistatic conditions. Traditionally, high strain rates and shock stresses are measured using cumbersome and…

We investigate compressive failure of heterogeneous materials on the basis of a continuous progressive damage model. The model explicitely accounts for tensile and shear local damage and reproduces the main features of compressive failure…

材料科学 · 物理学 2012-05-03 Lucas Girard , Jerome Weiss , David Amitrano

Miscible tracer dispersion measurements in transparent model fractures with different types of wall roughness are reported. The nature (Fickian or not) of dispersion is determined by studying variations of the mixing front as a function of…

The deformation of rocks is associated with microcracks nucleation and propagation, i.e. damage. The accumulation of damage and its spatial localization lead to the creation of a macroscale discontinuity, so-called "fault" in geological…

地球物理 · 物理学 2007-09-19 David Amitrano

Dynamic crack propagation drives catastrophic solid failures. In many amorphous brittle materials, sufficiently fast crack growth involves small-scale, high-frequency microcracking damage localized near the crack tip. The ultra-fast…

材料科学 · 物理学 2012-03-30 Claudia Guerra , Julien Scheibert , Daniel Bonamy , Davy Dalmas