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Electro-active materials are classified as electrostrictive and piezoelectric materials. They deform under the action of an external electric field. Piezoelectric material, as a special class of active materials, can produce an internal…

数值分析 · 数学 2024-04-16 Nima Noii , Mehran Ghasabeh , Peter Wriggers

Material failure is mediated by the propagation of cracks, which in realistic 3D materials typically involve multiple coexisting fracture planes. Multiple fracture-plane interactions create poorly understood out-of-plane crack structures,…

材料科学 · 物理学 2024-11-27 Meng Wang , Eran Bouchbinder , Jay Fineberg

We study the phase structure of a surface model by using the canonical Monte Carlo simulation technique on triangulated, fixed connectivity, and spherical surfaces with many fine holes. The size of a hole is assumed to be of the order of…

统计力学 · 物理学 2008-08-06 Hiroshi Koibuchi

We study the existence of distinct failure regimes in a model for fracture in fibrous materials. We simulate a bundle of parallel fibers under uniaxial static load and observe two different failure regimes: a catastrophic and a slowly…

统计力学 · 物理学 2015-06-24 I. L. Menezes-Sobrinho , J. G. Moreira , A. T. Bernardes

X-Ray microtomography was used to follow the coarsening of the structure of a ternary silicate glass experiencing phase separation in the liquid state. The volumes, surfaces, mean and Gaussian curvatures of the domains of minority phase…

软凝聚态物质 · 物理学 2015-06-17 David Bouttes , Emmanuelle Gouillart , Elodie Boller , Davy Dalmas , Damien Vandembroucq

The numerical simulation of physical processes in the underground frequently entails challenges related to the geometry and/or data. The former are mainly due to the shape of sedimentary layers and the presence of fractures and faults,…

数值分析 · 数学 2020-02-28 Alessio Fumagalli , Anna Scotti , Luca Formaggia

We present a high-fidelity three dimensional computational framework for simulating the bulk mechanical behavior of granular aggregates composed of deformable brittle grains. Departing from classical discrete element methods (DEM), our…

软凝聚态物质 · 物理学 2025-07-16 Debdeep Bhattacharya , Davood Damircheli , Robert P. Lipton

The phase-field model for fracture, despite its popularity and ease of implementation comes with its set of computational challenges. They are the non-convex energy functional, variational inequality due to fracture irreversibility, the…

数值分析 · 数学 2022-06-24 Ritukesh Bharali , Fredrik Larsson , Ralf Jänicke

An estimate of the effective toughness of heterogeneous materials is proposed based on the Phase Field Fracture model implemented in an FFT homogenization solver. The estimate is based on the simulation of the deformation of representative…

材料科学 · 物理学 2025-08-12 Pedro Aranda , Javier Segurado

The width of fracture process zones in geomaterials is commonly assumed to depend on the type of heterogeneity of the material. Still, very few techniques exist, which link the type of heterogeneity to the width of the fracture process…

材料科学 · 物理学 2018-08-23 Peter Grassl , Adrien Antonelli

Over the past few decades, the phase-field method for fracture has seen widespread appeal due to the many benefits associated with its ability to regularize a sharp crack geometry. Along the way, several different models for including the…

计算工程、金融与科学 · 计算机科学 2023-05-15 Andre Costa , Tianchen Hu , John Dolbow

We consider a two dimensional lattice model to describe the opening of a crack in hydraulic fracturing. In particular we consider that the material only breaks under tension and the fluid has no pressure drop inside the crack. For the case…

凝聚态物理 · 物理学 2009-10-22 F. Tzschichholz , H. J. Herrmann

In the phase-field modeling of brittle fracture, anisotropic constitutive assumptions for the degradation of stored elastic energy due to fracture are crucial to preventing cracking in compression and obtaining physically sound numerical…

数值分析 · 数学 2018-05-22 Fei Zhang , Weizhang Huang , Xianping Li , Shicheng Zhang

The crystal structure of high-pressure solid hydrogen remains a fundamental open problem. Although the research frontier has mostly shifted toward ultra-high pressure phases above 400 GPa, we show that even the broken symmetry phase…

强关联电子 · 物理学 2025-12-30 Shengdu Chai , Chen Lin , Xinyang Dong , Yuqiang Li , Wanli Ouyang , Lei Wang , X. C. Xie

We present a new model for two phase Darcy flows in fractured media, in which fractures are modelled as submanifolds of codimension one with respect to the surrounding domain (matrix). Fractures can act as drains or as barriers, since…

数值分析 · 数学 2016-12-26 Jerome Droniou , Julian Hennicker , Roland Masson

The dynamic strength of concrete under complex loading conditions is a key consideration in the design and maintenance of infrastructures. To assess this mechanical property, Split Hopkinson Pressure Bar (SHPB) tests are typically adopted…

材料科学 · 物理学 2026-04-14 Qingchen Liu , Yixiang Gan

We introduce a coupled system of PDEs for the modeling of the fluid-fluid and fluid-solid interaction in a poroelastic material with a single static fracture. The fluid flow in the fracture is modeled by a lower-dimensional Darcy equation,…

数值分析 · 数学 2016-08-15 Katja K. Hanowski , Oliver Sander

Phase-field approaches to fracture based on energy minimization principles have been rapidly gaining popularity in recent years, and are particularly well-suited for simulating crack initiation and growth in complex fracture networks. In…

材料科学 · 物理学 2018-03-14 Juan Michael Sargado , Eirik Keilegavlen , Inga Berre , Jan Martin Nordbotten

This is the first of a series of three articles that treats fracture localization as a critical phenomenon. This first article establishes a statistical mechanics based on ensemble averages when fluctuations through time play no role in…

统计力学 · 物理学 2009-11-07 Renaud Toussaint , Steven R. Pride

In chemically reactive environments, the mechanical integrity of geomaterials is fundamentally compromised by solid matrix dissolution. In this study, we propose a fully coupled chemo-mechanical phase-field framework to capture the dynamic…

材料科学 · 物理学 2026-04-14 Fanyu Wu , Chong Liu , Manolis Veveakis , Manman Hu
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