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Amorphous solids display a ductile to brittle transition as the kinetic stability of the quiescent glass is increased, which leads to a material failure controlled by the sudden emergence of a macroscopic shear band in quasi-static…

Statistical Mechanics · Physics 2020-02-25 Murari Singh , Misaki Ozawa , Ludovic Berthier

Metals deformed at high strain rates can exhibit failure through formation of shear bands, a phenomenon often attributed to Hadamard instability and localization of the strain into an emerging coherent structure. We verify formation of…

Analysis of PDEs · Mathematics 2016-11-03 Theodoros Katsaounis , Min-Gi Lee , Athanasios Tzavaras

Notched bars of bulk metallic glasses, Pd$_{40}$Ni$_{40}$P$_{20}$ and Zr$_{52.5}$Cu$_{17.9}$Ni$_{14.6}$Al$_{10}$Ti$_{5}$, were deformed under 3-point bending conditions, resulting in the formation of shear bands before failure. The…

Materials Science · Physics 2020-06-24 Farnaz A. Davani , Sven Hilke , Harald Rösner , David Geissler , Annett Gebert , Gerhard Wilde

Plastic deformation of metallic glasses performed well below the glass transition temperature leads to the formation of shear bands as a result of shear localization. It is believed that shear banding originates from individual stress…

Materials Science · Physics 2017-04-26 Vitalij Hieronymus-Schmidt , Harald Rösner , Alessio Zaccone , Gerhard Wilde

Relaxation of shear bands in a Pd40Ni40P20 bulk metallic glass was investigated by a combination of radiotracer diffusion and molecular dynamics (MD) simulations, allowing to determine for the first time the effective activation enthalpy of…

Materials Science · Physics 2015-09-15 I. Binkowski , G. P. Shrivastav , J. Horbach , S. V. Divinski , G. Wilde

One prototypical instability in granular flows is the shear-banding instability, in which a uniform granular shear flow breaks into alternating bands of dense and dilute clusters of particles having low and high shear (shear stress or shear…

Soft Condensed Matter · Physics 2019-09-18 Priyanka Shukla , Lima Biswas , Vinay Kumar Gupta

We study theoretically the formation of shear bands in time-dependent flows of polymeric and wormlike micellar surfactant fluids, focussing on the protocols of step shear stress, step shear strain (or in practice a rapid strain ramp), and…

Soft Condensed Matter · Physics 2015-06-16 Robyn L. Moorcroft , Suzanne M. Fielding

It has recently been argued that steady-state vorticity bands cannot arise in shear thickening suspensions, because the normal stress imbalance across the interface between the bands will set up particle migrations. In this Letter, we…

Soft Condensed Matter · Physics 2018-11-27 Rahul N. Chacko , Romain Mari , Michael E. Cates , Suzanne M. Fielding

In a realistic three-dimensional setup, we simulate the slow deformation of idealized granular media composed of spheres undergoing an axisymmetric triaxial shear test. We follow the self-organization of the spontaneous strain localization…

Soft Condensed Matter · Physics 2007-05-23 S. Fazekas , J. Török , J. Kertész

Shear bands originating from in situ tensile tests of Al$_{88}$Y$_{7}$Fe$_{5}$ melt-spun ribbons conducted in a transmission electron microscope are compared with ones which had formed ex situ during cold rolling. During in situ straining,…

Materials Science · Physics 2022-01-11 Harald Rösner , Christian Kübel , Stefan Ostendorp , Gerhard Wilde

A two-dimensional lattice model for the formation and evolution of shear bands in granular media is proposed. Each lattice site is assigned a random variable which reflects the local density. At every time step, the strain is localized…

Statistical Mechanics · Physics 2013-05-29 Janos Torok , Supriya Krishnamurthy , Janos Kertesz , Stephane Roux

Many soft materials, including foams, dense emulsions, micro gel bead suspensions, star polymers, dense packing of surfactant onion micelles, and textured morphologies of liquid crystals, share the basic "glassy" features of structural…

Soft Condensed Matter · Physics 2015-06-17 Suzanne M. Fielding

We analyze transient dynamics during shear start-up in viscoelastic flows between two parallel plates, with a specific focus on the signatures for the onset of transient shear banding using the Johnson-Segalman, non-stretching Rolie-Poly…

Fluid Dynamics · Physics 2022-03-01 Shweta Sharma , V. Shankar , Yogesh M. Joshi

The linear stability analysis of an uniform shear flow of granular materials is revisited using several cases of a Navier-Stokes'-level constitutive model in which we incorporate the global equation of states for pressure and thermal…

Soft Condensed Matter · Physics 2008-11-18 Meheboob Alam , Priyanka Shukla , Stefan Luding

Shear deformation of partially molten rock in laboratory experiments causes the emergence of melt-enriched sheets (bands in cross-section) that are aligned at about 15-20 degrees to the shear plane. Deformation and deviatoric stress also…

Geophysics · Physics 2015-10-28 Jesse Taylor-West , Richard F. Katz

We use Shear Transformation Zone (STZ) theory to develop a deformation map for amorphous solids as a function of the imposed shear rate and initial material preparation. The STZ formulation incorporates recent simulation results [Haxton and…

Soft Condensed Matter · Physics 2009-11-13 M. L. Manning , E. G. Daub , J. S. Langer , J. M. Carlson

Large-scale molecular dynamics simulations of shear deformation under constant pressures of amorphous silicon, PT from low-density-amorphous (LDA) to high-density-amorphous (HDA) Si, and formation of shear bands (SBs) are performed using…

Materials Science · Physics 2026-05-07 Hao Chen , Valery I. Levitas , Tengyi Liu , Jingyu Lu , Rui Zhu , Zhongqiang Zhang

The dynamic collapse of pores under shock loading is thought to be directly related to hot spot generation and material failure, which is critical to the performance of porous energetic and structural materials. However, the shock…

Applied Physics · Physics 2024-09-02 Barry P Lawlor , Vatsa Gandhi , Guruswami Ravichandran

Using numerical simulations, we consider an amorphous particle mixture which exhibits shear banding, and find that the addition of even a small fraction of chains strongly enhances the material strength, creating pronounced overshoot…

Soft Condensed Matter · Physics 2015-06-05 Ido Regev , Charles Reichhardt

Shear banding is an important feature of flow in complex fluids. Essentially, shear bands refer to the coexistence of flowing and non-flowing regions in driven material. Understanding the possible sources of shear banding has important…

Soft Condensed Matter · Physics 2015-05-13 Kapilanjan Krishan , Michael Dennin