Anomalous energy cascades in dense granular materials yielding under simple shear deformations

Soft Matter ◽  
2016 ◽  
Vol 12 (5) ◽  
pp. 1360-1367 ◽  
Author(s):  
Kuniyasu Saitoh ◽  
Hideyuki Mizuno
Keyword(s):  
Granular Materials ◽  
Simple Shear ◽  
Shear Deformations ◽  
Energy Cascades

scholarly journals Correction: Transition rates for slip-avalanches in soft athermal disks under quasi-static simple shear deformations

Soft Matter ◽  
2019 ◽  
Vol 15 (17) ◽  
pp. 3627-3627 ◽  
Author(s):  
Kuniyasu Saitoh ◽  
Norihiro Oyama ◽  
Fumiko Ogushi ◽  
Stefan Luding
Keyword(s):  
Simple Shear ◽  
Soft Matter ◽  
Transition Rates ◽  
Shear Deformations

Correction for ‘Transition rates for slip-avalanches in soft athermal disks under quasi-static simple shear deformations’ by Kuniyasu Saitoh et al., Soft Matter, 2019, DOI: 10.1039/c8sm01966e.

Shear properties of passive ventricular myocardium

2002 ◽  
Vol 283 (6) ◽  
pp. H2650-H2659 ◽  
Author(s):  
Socrates Dokos ◽  
Bruce H. Smaill ◽  
Alistair A. Young ◽  
Ian J. LeGrice
Keyword(s):  
Shear Deformation ◽  
Simple Shear ◽  
Ventricular Myocardium ◽  
Left Ventricular ◽  
Shear Deformations ◽  
Shear Properties ◽  
Nonlinear Viscoelastic ◽  
Myocardial Layers ◽  
Shear Modes ◽  
Simple Shear Deformation

We examined the shear properties of passive ventricular myocardium in six pig hearts. Samples (3 × 3 × 3 mm) were cut from adjacent regions of the lateral left ventricular midwall, with sides aligned with the principal material axes. Four cycles of sinusoidal simple shear (maximum shear displacements of 0.1–0.5) were applied separately to each specimen in two orthogonal directions. Resulting forces along the three axes were measured. Three specimens from each heart were tested in different orientations to cover all six modes of simple shear deformation. Passive myocardium has nonlinear viscoelastic shear properties with reproducible, directionally dependent softening as strain is increased. Shear properties were clearly anisotropic with respect to the three principal material directions: passive ventricular myocardium is least resistant to simple shear displacements imposed in the plane of the myocardial layers and most resistant to shear deformations that produce extension of the myocyte axis. Comparison of results for the six different shear modes suggests that simple shear deformation is resisted by elastic elements aligned with the microstructural axes of the tissue.

On classical solutions of the Prandtl-Reuss equations of perfect elastoplasticity

1996 ◽  
Vol 126 (6) ◽  
pp. 1297-1308 ◽  
Author(s):  
Sergej B. Kuksin
Keyword(s):  
Simple Shear ◽  
Functional Equations ◽  
Classical Solutions ◽  
Antiplane Deformation ◽  
System Of Equations ◽  
Elastoplastic Medium ◽  
Shear Deformations ◽  
Nonlinear Functional

We study the elasticity domain for an antiplane deformation of a perfect elastoplastic medium, which is described by the Prandtl-Reuss equations. We prove that a boundary of this domain can be found by solving a system of nonlinear functional equations. In the simplest case of simple shear deformations, this system of equations is studied in detail.

scholarly journals A constitutive model with microstructure evolution for flow of rate-independent granular materials

2011 ◽  
Vol 682 ◽  
pp. 590-616 ◽  
Author(s):  
JIN SUN ◽  
SANKARAN SUNDARESAN
Keyword(s):  
Friction Coefficient ◽  
Constitutive Model ◽  
Granular Materials ◽  
Simple Shear ◽  
Evolution Equations ◽  
Complex Loading ◽  
Dem Simulations ◽  
Particle Level ◽  
Complex Rheology ◽  
Using Data

A constitutive model is developed for the complex rheology of rate-independent granular materials. The closures for the pressure and the macroscopic friction coefficient are linked to microstructure through evolution equations for coordination number and fabric. The material constants in the model are functions of particle-level properties and are calibrated using data generated through simulations of steady and unsteady simple shear using the discrete element method (DEM). This model is verified against DEM simulations at complex loading conditions.

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