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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…

Damage gradient models approximate fracture mechanics using a modulation of the material stiffness. To this aim a single scalar field, the damage, is used to degrade as a whole the elastic energy. If applied to the structural models of…

经典物理 · 物理学 2022-11-30 Giovanni Corsi , Antonino Favata , Stefano Vidoli

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

The structured deformation theory is used within the thermodynamics of irreversible processes framework in order to build a damage model relevant for quasi-brittle materials. The cracks are supposed smeared in the body and their shape is…

材料科学 · 物理学 2024-11-14 M. L. M. François

A constitutive model is presented for brittle granular materials based on a recent reformulation of the breakage mechanics theory. Compared with previous breakage mechanics-based models, the proposed model is improved to capture strain…

软凝聚态物质 · 物理学 2019-02-21 M. B. Cil , R. C. Hurley , L. Graham-Brady

Crack growth is the basic mechanism leading to the failure of brittle materials. Engineering addresses this problem within the framework of continuum mechanics, which links deterministically the crack motion to the applied loading. Such an…

统计力学 · 物理学 2018-12-26 Jonathan Barés , Daniel Bonamy

The present contribution proposes a general constitutive model to simulate the orthotropic stiffness, pre-peak nonlinearity, failure envelopes, and the post-peak softening and fracture of textile composites. Following the microplane model…

材料科学 · 物理学 2015-09-09 Marco Salviato , Shiva Esna Ashari Esfahani , Gianluca Cusatis

To model rupture dynamics, a friction law must be assumed. Commonly used constitutive laws for modeling friction include slip-weakening laws which are characterized by a drop from static to dynamic frictional stress. Within this framework,…

地球物理 · 物理学 2024-07-22 Roxane Ferry , Jean-François Molinari

In jamming systems like colloids, emulsions, foams, and biological tissues, significant deformation is essential for processes such as material scraping or wound self-healing. To adequately spread a foam or cream over a surface, external…

软凝聚态物质 · 物理学 2025-01-08 Masaya Endo , Rei Kurita

A numerical realization of an elastic beam lattice is used to obtain scaling exponents relevant to the extent of damage within the controlled, catastrophic and total regimes of mode-I brittle fracture. The relative fraction of damage at the…

软凝聚态物质 · 物理学 2007-09-12 Bjorn Skjetne , Torbjorn Helle , Alex Hansen

The deformation of brittle material is primarily accompanied by micro-cracking and faulting. However, it has often been found that continuum fluid models, usually based on a non-Newtonian viscosity, are applicable. To explain this rheology,…

材料科学 · 物理学 2016-12-28 K. Z. Nanjo

A continuum description of granular flows would be of considerable help in predicting natural geophysical hazards or in designing industrial processes. However, the constitutive equations for dry granular flows, which govern how the…

软凝聚态物质 · 物理学 2016-08-16 Pierre Jop , Yoël Forterre , Olivier Pouliquen

Strain hardening is a key feature observed in many rocks deformed in the so-called ``semi-brittle'' regime, where both crystal plastic and brittle deformation mechanisms operate. Dislocation storage has long been recognised as a major…

地球物理 · 物理学 2025-02-14 Nicolas Brantut

This work outlines a Lattice Boltzmann Method (LBM) for geometrically and constitutively nonlinear solid mechanics to simulate large deformations under dynamic loading conditions. The method utilizes the moment chain approach, where the…

计算工程、金融与科学 · 计算机科学 2025-07-02 Henning Müller , Erik Faust , Alexander Schlüter , Ralf Müller

During an earthquake, slip occurs in a localised shear zone that features a heavily granulated fault core that can be characterised as a shear band. We study the formation of this fault core in a granular rock such as sandstone by…

地球物理 · 物理学 2025-09-29 N. A. Collins-Craft , I. Stefanou , J. Sulem , I. Einav

We derive from particle-level dynamics a constitutive model describing the rheology of two-dimensional dense soft suspensions below the jamming transition, in a regime where hydrodynamic interactions between particles are screened. Based on…

软凝聚态物质 · 物理学 2026-01-08 N. Cuny , E. Bertin , R. Mari

The dynamics of a crack propagating in an elastic inhomogeneous material is investigated. The variations of the average crack velocity with the external loading are measured for a brittle rock and are shown to display two distinct regimes:…

统计力学 · 物理学 2008-12-18 Laurent Ponson

In spite of many attempts to model dense granular flow, there is still no general theory capable of describing different types of flows, such as gravity-driven drainage in silos and wall-driven shear flows in Couette cells. Here, we…

软凝聚态物质 · 物理学 2009-11-11 Ken Kamrin , Chris H. Rycroft , Martin Z. Bazant

We study how the loading rate, specimen geometry and microstructural texture select the dynamics of a crack moving through an heterogeneous elastic material in the quasi-static approximation. We find a transition, fully controlled by two…

统计力学 · 物理学 2013-09-23 Jonathan Barés , Luc Barbier , Daniel Bonamy

Using a novel high-performance computing implementation of a nonlinear continuum damage breakage model, we explore interactions between 3D co-seismic off-fault damage, seismic radiation, and rupture dynamics. Our simulations demonstrate…

地球物理 · 物理学 2025-03-28 Zihua Niu , Alice-Agnes Gabriel , Yehuda Ben-Zion
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