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When transported in confined geometries rigid fibers show interesting transport dynamics induced by friction with the top and bottom walls. Fiber flexibility causes an additional coupling between fiber deformation and transport and is…

The problem of a crack impinging on an interface has been thoroughly investigated in the last three decades due to its important role in the mechanics and physics of solids. In this investigation, this problem is revisited in view of the…

Materials Science · Physics 2017-05-24 Marco Paggi , Jose Reinoso

A variational modeling framework for hydraulically induced fracturing of elastic-plastic solids is developed in the present work. The developed variational structure provides a global minimization problem. While fracture propagation is…

Numerical Analysis · Mathematics 2025-04-11 Daniel Kienle , Marc-Andre Keip

The paper addresses the problem of a Mode III interfacial crack advancing quasi-statically in a heterogeneous composite material, that is a two-phase material containing elastic inclusions, both soft and stiff, and defects, such as…

Mathematical Physics · Physics 2011-10-25 Andrea Piccolroaz , Gennady Mishuris , Alexander Movchan , Natasha Movchan

In this contribution, a variational diffuse modeling framework for cracks in heterogeneous media is presented. A static order parameter smoothly bridges the discontinuity at material interfaces, while an evolving phase-field captures the…

Materials Science · Physics 2021-04-07 Arne Claus Hansen-Dörr , Jörg Brummund , Markus Kästner

A phase field model for fluid-driven dynamic crack propagation in poroelastic media is proposed. Therefore, classical Biot poroelasticity theory is applied in the porous medium while arbitrary crack growth is naturally captured by the phase…

Numerical Analysis · Mathematics 2023-09-07 Shuwei Zhou , Xiaoying Zhuang , Timon Rabczuk

A continuum mechanical model of coupled dislocation based plasticity and fracture at finite deformation is proposed. Motivating questions and target applications of the model are sketched.

Materials Science · Physics 2024-04-04 Amit Acharya

A plastic crack model for smectic A liquid crystals under longitudinal shear is suggested. The solution of screw dislocation in smectic A is the key in which the correct result is just obtained by overcoming a longstanding puzzle [19]. We…

Soft Condensed Matter · Physics 2012-10-31 Tian You Fan

A continuum model of crack propagation is presented and discussed. We obtain steady state solutions with a self-consistently selected propagation velocity and shape of the crack, provided that elastodynamic and viscoelastic effects are…

Materials Science · Physics 2020-02-26 M. Fleck , D. Pilipenko , R. Spatschek , E. A. Brener

This paper investigates proppant flow and transport in intersected fractures at angles typical for intersections of pre-existing and new hydraulic fractures. Proppant is small granular material, which is placed into hydraulic fractures…

Fluid Dynamics · Physics 2020-09-22 Wenpei Ma , Justin Perng , Ingrid Tomac

We propose a model for the formation of drying cracks in a viscoplastic material. In this model, we observe that when an external force is applied to a viscoplastic material before drying, the material memorizes the effect of the force as a…

Materials Science · Physics 2009-11-10 Michio Otsuki

We develop a microscopic picture of shear thickening in dense suspensions which emphasizes the role of frictional forces, coupling rotational and translational degrees of freedom. Simulations with contact forces and viscous drag only,…

Soft Condensed Matter · Physics 2016-11-23 Moumita Maiti , Annette Zippelius , Claus Heussinger

We study the dynamics of proppants carried by fluid driven into an evolving penny-shaped fracture. The behaviour of the slurry flow is investigated in two phases: pressurised injection and elastic closure. During injection the slurry is…

Fluid Dynamics · Physics 2021-04-21 George R. Wyatt , Herbert E. Huppert

We consider the quasi-static propagation of a Mode III crack along the interface in a bimaterial plane containing a finite array of small line defects (microcracks and rigid line inclusions). The microdefects are arranged to form a channel…

Mathematical Physics · Physics 2011-10-27 A. Piccolroaz , G. Mishuris , A. Movchan , N. Movchan

We consider the stationary state of a fluid comprised of inelastic hard spheres or disks under the influence of a random, momentum-conserving external force. Starting from the microscopic description of the dynamics, we derive a nonlinear…

Statistical Mechanics · Physics 2013-02-25 W. T. Kranz , M. Sperl , A. Zippelius

Fluid-induced slip of fractures is characterized by strong multiphysics couplings. Three physical processes are considered: Flow, rock deformation and fracture deformation. The fractures are represented as lower-dimensional objects embedded…

Geophysics · Physics 2017-12-19 Runar L. Berge , Inga Berre , Eirik Keilegavlen

Since it is difficult to apply the existing method of friction and heat flux decomposition on the complex surface, a combined decomposition method of friction and heat flux with clear physical interpretation is proposed, which is based on…

Fluid Dynamics · Physics 2023-03-16 Mingzhi Tang , Wenfeng Zhou , Yanchao Hu , Gang Wang , Ming Fang , Yan-guang Yang

The deformation and flow of disordered solids, such as metallic glasses and concentrated emulsions, involves swift localized rearrangements of particles that induce a long-range deformation field. To describe these heterogeneous processes,…

Disordered Systems and Neural Networks · Physics 2019-01-02 Alexandre Nicolas , Ezequiel E. Ferrero , Kirsten Martens , Jean-Louis Barrat

This work analyzes the viscous flow and elastic deformation created by the forced axial motion of a rigid cylinder within an elastic liquid-filled tube. The examined configuration is relevant to various minimally invasive medical procedures…

Soft Condensed Matter · Physics 2019-05-15 Amit Vurgaft , Shai B. Elbaz , Amir D. Gat

The mechanical response of a circularly-driven disk in a dissipative medium is considered. We focus on the role played by viscous friction in the spinning motion of the disk, especially on the effect called reverse rotation, where the…

Classical Physics · Physics 2015-06-17 Pablo de Castro , Fernando Parisio