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The dynamics of flooding are primarily influenced by the shape, height, and roughness (friction) of the underlying topography. For this reason, mechanisms to mitigate floods frequently employ structural measures that either modify…

Optimization and Control · Mathematics 2019-04-04 Byron Tasseff , Russell Bent , Pascal Van Hentenryck

The paper presents universal asymptotic solution needed for efficient modeling of hydraulic fractures. We show that when neglecting the lag, there is universal asymptotic equation for the near-front opening. It appears that apart from the…

Fluid Dynamics · Physics 2014-04-17 Aleksandr M. Linkov

As shown by Wrobel et al. (2017), the hydraulically induced tangential traction on fracture walls changes local displacement and stress fields. This resulted in the formulation of a new hydraulic fracture (HF) propagation condition based on…

Soft Condensed Matter · Physics 2017-10-04 Monika Perkowska , Andrea Piccolroaz , Michal Wrobel , Gennady Mishuris

We study the competition between thermal fluctuations and stress enhancement in the failure process of a disordered system by using a local load sharing fiber bundle model. The thermal noise is introduced by defining a failure probability…

Disordered Systems and Neural Networks · Physics 2021-02-24 Santanu Sinha , Subhadeep Roy , Alex Hansen

While we fundamentally understand the dynamics of 'simple' cracks propagating in brittle solids within perfect (homogeneous) materials, we do not understand how paths of moving cracks are determined. We experimentally study strongly…

Soft Condensed Matter · Physics 2020-10-28 Lital Rozen-Levy , John M. Kolinski , Gil Cohen , Jay Fineberg

The way granular materials response to an applied shear stress is of the utmost relevance to both human activities and natural environment. One of the their most intriguing and less understood behavior, is the stick-instability, whose most…

Soft Condensed Matter · Physics 2018-11-07 Andrea Baldassarri , Mario A. Annunziata , Andrea Gnoli , Giorgio Pontuale , Alberto Petri

Phase-field models are a leading approach for realistic fracture problems. They treat the crack as a second phase and use gradient terms to smear out the crack faces, enabling the use of standard numerical methods for simulations. This…

Analysis of PDEs · Mathematics 2022-07-01 Maryam Hakimzadeh , Vaibhav Agrawal , Kaushik Dayal , Carlos Mora-Corral

To obtain the probability distribution of 2D crack patterns in mesoscopic regions of a disordered solid, the formalism of Paper I requires that a functional form associating the crack patterns (or states) to their formation energy be…

Statistical Mechanics · Physics 2009-11-07 Renaud Toussaint , Steven R. Pride

We present a model for stable crack growth in a constrained geometry. The morphology of such cracks show scaling properties consistent with self affinity. Recent experiments show that there are two distinct self-affine regimes, one on small…

Computational Physics · Physics 2012-05-31 Knut Skogstrand Gjerden , Arne Stormo , Alex Hansen

The lifetime and performance of any engineering component, from nanoscale sensors to macroscopic structures, are strongly influenced by fracture processes. Fracture itself is a highly localized event; originating at the atomic scale by bond…

Materials Science · Physics 2022-10-04 Dominik Steinberger , Inas Issa , Rachel Strobl , Peter J. Imrich , Daniel Kiener , Stefan Sandfeld

The phenomenon of arrest of an unstably-growing crack due to a curved weak interface is investigated. The weak interface can produce the deviation of the crack path, trapping the crack at the interface, leading to stable crack growth for…

Materials Science · Physics 2020-09-15 M. T. Aranda , I. G. Garcia , J. Reinoso , V. Mantic , M. Paggi

We argue that nucleation of brittle cracks in initially flawless soft elastic solids is preceded by a nonlinear elastic instability, which cannot be captured without accounting for geometrical precise description of finite elastic…

Soft Condensed Matter · Physics 2024-06-17 D. Riccobelli , P. Ciarletta , G. Vitale , C. Maurini , L. Truskinovsky

We consider a variation of Griffith's analysis of rupture, one which simulates the process of hydrofracturing, where fluid forced into a crack raises the fluid pressure until the crack begins to grow. Unlike that of Griffith, in this…

Geophysics · Physics 2022-11-09 Joseph B. Walsh , Stephen R. Brown

Hydraulic stimulation of geothermal reservoirs in low-permeability basement and crystalline igneous rock can enhance permeability by reactivation and shear dilation of existing fractures. The process is characterized by interaction between…

Geophysics · Physics 2020-12-08 Inga Berre , Ivar Stefansson , Eirik Keilegavlen

Alloying metals with other elements is often done to improve the material strength or hardness. A key microscopic mechanism is precipitation hardening, where precipitates impede dislocation motion, but the role of such obstacles in…

Materials Science · Physics 2020-08-19 Henri Salmenjoki , Arttu Lehtinen , Lasse Laurson , Mikko J. Alava

We combine welding process modelling with deformation-diffusion-fracture (embrittlement) simulations to predict failures in hydrogen transport pipelines. The focus is on the structural integrity of seam welds, as these are often the…

Computational Engineering, Finance, and Science · Computer Science 2024-01-23 T. K. Mandal , J. Parker , M. Gagliano , E. Martínez-Pañeda

The propagation of an interfacial crack front through a weak plane of a transparent Plexiglas block has been studied experimentally. A stable crack in mode I was generated by loading the system by an imposed displacement. The local…

Statistical Mechanics · Physics 2007-05-23 Knut Jorgen Maloy , Renaud Toussaint , Jean Schmittbuhl

In our previous paper (Eur. Phys. J. E 4, 121 (2001)) we proposed a coarse-grained elastic energy for nacre, or stratified structure of hard and soft layers. We then analyzed a crack running perpendicular to the layers and suggested one…

Soft Condensed Matter · Physics 2009-11-07 Ko Okumura

A multi-physics model for shale gas production in fractured system, that couples real gas property, nano-flow mechanism and geomechanics

Geophysics · Physics 2017-11-01 HanYi Wang

The principle of hierarchical design is a prominent theme in many natural systems where mechanical efficiency is of importance. Here we establish the properties of a particular hierarchical structure, showing that high mechanical efficiency…

Classical Physics · Physics 2013-12-18 Daniel Rayneau-Kirkhope , Yong Mao , Robert Farr