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相关论文: Cohesive fracture with irreversibility: quasistati…

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We consider atomistic systems consisting of interacting particles arranged in atomic lattices whose quasi-static evolution is driven by time-dependent boundary conditions. The interaction of the particles is modeled by classical interaction…

偏微分方程分析 · 数学 2022-11-01 Rufat Badal , Manuel Friedrich , Joscha Seutter

We investigate numerically and theoretically the precursory intermittent activity characterizing the preliminary phase of damage accumulation prior to failure of quasi-brittle solids. We use a minimal but thermodynamically consistent model…

统计力学 · 物理学 2022-03-23 Estelle Berthier , Ashwij Mayya , Laurent Ponson

Visco-energetic solutions have been recently advanced as a new solution concept for rate-independent systems, alternative to energetic solutions/quasistatic evolutions and balanced viscosity solutions. In the spirit of this novel concept,…

偏微分方程分析 · 数学 2022-05-18 Gianni Dal Maso , Riccarda Rossi , Giuseppe Savaré , Rodica Toader

A field theory is presented for predicting damage and fracture in quasi-brittle materials. The approach taken here is new and blends a non-local constitutive law with a two-point phase field. In this formulation, the material displacement…

材料科学 · 物理学 2025-10-07 Semsi Coskun , Davood Damircheli , Robert Lipton

We consider a linearly elastic body consisting of two equal symmetrically arranged layers (or half-planes) connected by a structured interface as a prospective crack path. The interface is comprised by periodic discrete system of bonds. In…

经典物理 · 物理学 2014-03-05 Gennady S. Mishuris , Leonid I. Slepyan

A simple nonlocal field theory of peridynamic type is applied to model brittle fracture. The fracture evolution is shown to converge in the limit of vanishing nonlocality to classic plane elastodynamics with a running crack. The kinetic…

偏微分方程分析 · 数学 2020-07-30 Robert Lipton , Prashant K. Jha

We show that for the simulation of crack propagation in quasi-brittle, two-dimensional solids, very good results can be obtained with an embedded strong discontinuity quadrilateral finite element that has incompatible modes. Even more…

数值分析 · 数学 2021-09-08 A. Stanic , B. Brank , A. Ibrahimbegovic , H. G. Matthies

We formulate the quasi-static elastic contact problem with Coulomb friction in a very general setting, with possible jumps in time for both the load and the solution. Exploiting ideas originating in our recent paper [4], we exhibit an…

偏微分方程分析 · 数学 2025-08-08 Patrick Ballard , Flaviana Iurlano

This paper addresses the question of the interplay between relaxation and irreversibility through quasi-static evolutions in damage mechanics, by inquiring the following question: can the quasi-static evolution of an elastic material…

偏微分方程分析 · 数学 2023-06-16 Elise Bonhomme

A continuum model of fracture that describes, in principle, the propagation and interaction of arbitrary distributions of cracks and voids with evolving topology without a fracture criterion is developed. It involves a 'law of motion' for…

材料科学 · 物理学 2020-04-22 Amit Acharya

We study a 2D quasi-static discrete {\it crack} anti-plane model of a tectonic plate with long range elastic forces and quenched disorder. The plate is driven at its border and the load is transfered to all elements through elastic forces.…

凝聚态物理 · 物理学 2020-01-29 Didier Sornette , Christian Vanneste

We consider systems of $n$ parallel edge dislocations in a single slip system, represented by points in a two-dimensional domain; the elastic medium is modelled as a continuum. We formulate the energy of this system in terms of the…

偏微分方程分析 · 数学 2014-09-16 Maria Giovanna Mora , Mark Peletier , Lucia Scardia

Reproducing the key features of fracture behavior under multiaxial stress states is essential for accurate modeling. Experimental evidence indicates that three intrinsic material properties govern fracture nucleation in elastic materials:…

Materials failure in 3D still poses basic challenges. We study 3D brittle crack dynamics using a phase-field approach, where Gaussian quenched disorder in the fracture energy is incorporated. Disorder is characterized by a correlation…

材料科学 · 物理学 2024-09-02 Yuri Lubomirsky , Eran Bouchbinder

Fatigue fracture is one of the main causes of failure in structures. However, the simulation of fatigue crack growth is computationally demanding due to the large number of load cycles involved. Metals in the low cycle fatigue range often…

计算物理 · 物理学 2024-11-11 Martha Kalina , Tom Schneider , Haim Waisman , Markus Kästner

Fatigue crack growth is decisive for the design of thin-walled structures such as fuselage shells of air planes. The cold rolling process, used to produce the aluminium sheets this structure is made of, leads to anisotropic mechanical…

The quasistatic behavior of a simple 2D model of a cohesive powder under isotropic loads is investigated by Discrete Element simulations. The loose packing states, as studied in a previous paper, undergo important structural changes under…

材料科学 · 物理学 2008-10-27 Francisco Gilabert , Jean-Noël Roux , Antonio Castellanos

With the fundamental objective of establishing the universality of the Griffith energy competition to describe the growth of large cracks in solids \emph{not} just under monotonic but under general loading conditions, this paper puts forth…

其他凝聚态物理 · 物理学 2024-04-23 Subhrangsu Saha , John E. Dolbow , Oscar Lopez-Pamies

Failure in brittle materials under dynamic loading conditions is a result of the propagation and coalescence of microcracks. Simulating this mechanism at the continuum level is computationally expensive or, in some cases, intractable. The…

When fast cracks become unstable to microscopic branching (micro-branching), fracture no longer occurs in an effective 2D medium. We follow in-plane crack front dynamics via real-time measurements in brittle gels as micro-branching unfolds…

材料科学 · 物理学 2015-05-19 Itamar Kolvin , Gil Cohen , Jay Fineberg