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The propagation of elastic waves in a fractured rock is investigated, both theoretically and numerically. Outside the fractures, the propagation of compressional waves is described in the simple framework of one-dimensional linear…

数值分析 · 数学 2016-08-16 Bruno Lombard , Joël Piraux

The onset of frictional motion at the interface between two distinct bodies in contact is characterized by the propagation of dynamic rupture fronts. We combine friction experiments and numerical simulations to study the properties of these…

地球物理 · 物理学 2020-02-03 Ilya Svetlizky , Gabriele Albertini , Gil Cohen , David S. Kammer , Jay Fineberg

In this work, we present a numerical method that provides accurate real-time detection for the widths of the fractures in a fractured porous medium based on observational data on porous medium fluid mass and velocity. To achieve this task,…

数值分析 · 数学 2025-02-25 Phuoc Toan Huynh , Feng Bao , Thi-Thao-Phuong Hoang

The phase field approach to modeling fracture uses a diffuse damage field to represent a crack. This addresses the singularities that arise at the crack tip in computations with sharp interface models, mollifying some of the difficulties…

A state of the art of the different deformations of space-time measured for more than a hundred years in the case of general relativity in the weak field is carried out. The phenomena of general relativity in low fields targeted are…

广义相对论与量子宇宙学 · 物理学 2025-06-30 David Izabel , Yves Remond , Matteo Lucas Ruggiero

Tectonic faults are commonly modelled as Volterra or Somigliana dislocations in an elastic medium. Various solution methods exist for this problem. However, the methods used in practice are often limiting, motivated by reasons of…

The distribution of fracture network is crucial to characterize the behaviors of flow field and solute transport, especially for enhanced geothermal systems, as fractures provide preferential flow paths. However, estimating the parameters…

地球物理 · 物理学 2023-02-08 Guodong Chen , Xin Luo , Jiu Jimmy Jiao , Chuanyin Jiang

When modelling fluid flow in fractured reservoirs, it is common to represent the fracturesas lower-dimensional inclusions embedded in the host medium. Existing discretizationsof flow in porous media with thin inclusions assume that the…

数值分析 · 数学 2021-01-22 Michele Starnoni , Inga Berre , Eirik Keilegavlen , Jan M. Nordbotten

We approach the problem of heterogeneous dynamic fracture by considering spatiotemporal perturbations to planar crack fronts. Front propagation is governed by local energy balance between the elastic energy per unit area available to…

材料科学 · 物理学 2025-09-17 Itamar Kolvin , Mokhtar Adda-Bedia

We show that the intermittent and self-similar fluctuations displayed by a slow crack during the propagation in a heterogeneous medium can be quantitatively described by an extension of a classical statistical model for fracture. The model…

无序系统与神经网络 · 物理学 2013-01-24 G. Pontuale , F. Colaiori , A. Petri

This paper presents a comprehensive computational framework for investigating thermo-elastic fracture in transversely isotropic materials, where classical linear elasticity fails to predict physically realistic behavior near stress…

数值分析 · 数学 2025-10-08 Saugata Ghosh , Dambaru Bhatta , S. M. Mallikarjunaiah

In many scenarios -- when we bite food or during a crash -- fracture is inevitable. Finding solutions to steer fracture to mitigate its impact or turn it into a purposeful functionality, is therefore crucial. Strategies using composites,…

When a thin film moderately adherent to a substrate is subjected to residual stress, the cooperation between fracture and delamination leads to unusual fracture patterns, such as spirals, alleys of crescents and various types of strips, all…

软凝聚态物质 · 物理学 2015-09-22 Joel Marthelot , Jose Bico , Francisco Melo , Benoit Roman

Numerically simulating deformations in thin elastic sheets is a challenging problem in computational mechanics due to destabilizing compressive stresses that result in wrinkling. Determining the location, structure, and evolution of…

材料科学 · 物理学 2014-11-26 Michael Taylor , Benny Davidovitch , Zhanlong Qiu , Katia Bertoldi

Rotating the clamped ends of a buckled elastica induces a snap-through instability. Predicting the limit point and determining the equilibria at the start and end of the snap are routine computations in the quasi-static setting. The…

软凝聚态物质 · 物理学 2025-09-29 Chiraprabha Bhattacharyya , Ramsharan Rangarajan

The paper deals with classical problem for cracks dislocated in a certain very specific porous elastic material, described by a Cowin-Nunziato model. We propose a method based upon a reducing of stress concentration problem for cracks to…

数学物理 · 物理学 2007-05-23 M. Ciarletta , G. Iovane , M. A. Sumbatyan

We investigate the validity of the Linear Elastic Fracture Mechanics approach to dynamic fracture. We first test the predictions in a lattice simulation, using a formula of Eshelby for the time-dependent Stress Intensity Factor. Excellent…

材料科学 · 物理学 2009-11-07 David A. Kessler , Herbert Levine

Earthquake fault zones are more complex, both geometrically and rheologically, than an idealised infinitely thin plane embedded in linear elastic material. To incorporate nonlinear material behaviour, natural complexities, and multi-physics…

We present high resolution measurements of the displacement and strain fields near the tip of a dynamic (Mode I) crack. The experiments are performed on polyacrylamide gels, brittle elastomers whose fracture dynamics mirror those of typical…

材料科学 · 物理学 2009-11-13 Ariel Livne , Eran Bouchbinder , Jay Fineberg

Understanding the role played by the microstructure of materials on their macroscopic failure properties is an important challenge in solid mechanics. Indeed, when a crack propagates at a heterogeneous brittle interface, the front is…

材料科学 · 物理学 2015-11-09 Sylvain Patinet , L Alzate , E Barthel , D Dalmas , D Vandembroucq , V Lazarus