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

Soft Matter ◽  
2019 ◽  
Vol 15 (17) ◽  
pp. 3487-3492 ◽  
Author(s):  
Kuniyasu Saitoh ◽  
Norihiro Oyama ◽  
Fumiko Ogushi ◽  
Stefan Luding
Keyword(s):  
Simple Shear ◽  
Amorphous Solids ◽  
Force Chains ◽  
Size Distributions ◽  
Transition Rates ◽  
Shear Deformations ◽  
Avalanche Size

Restructuring of force-chains in yielding amorphous solids is analyzed by transition rates that link the microstructure to the macroscopic avalanche-size distributions.

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.

Using delaunay triangularization to characterize non-affine displacement fields during athermal, quasistatic deformation of amorphous solids

Soft Matter ◽  
2021 ◽  
Vol 17 (38) ◽  
pp. 8612-8623
Author(s):  
Weiwei Jin ◽  
Amit Datye ◽  
Udo D. Schwarz ◽  
Mark D. Shattuck ◽  
Corey S. O'Hern
Keyword(s):  
Displacement Field ◽  
Simple Shear ◽  
Strain Field ◽  
Local Strain ◽  
Amorphous Solid ◽  
Amorphous Solids ◽  
Displacement Fields

Representation of the local strain field using Delaunay triangularization and the associated quadrupolar, non-affine displacement field for an amorphous solid undergoing athermal, quasistatic simple shear.

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