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The structured deformation theory is used within the thermodynamics of irreversible processes framework in order to build a damage model relevant for quasi-brittle materials. The cracks are supposed smeared in the body and their shape is…

Materials Science · Physics 2024-11-14 M. L. M. François

The evolution of wide shear zones (or shear bands) was investigated experimentally and numerically for quasistatic dry granular flows in split bottom shear cells. We compare the behavior of materials consisting of beads, irregular grains…

The strain-energy formulation of nonlinear elasticity can be extended to the case of significant compression by modulating suitable strain energy terms by a function of relative volume. For isotropic materials this can be accomplished by…

Geophysics · Physics 2021-03-17 B. L. N. Kennett

We study experimentally the motion of non-deformable microbeads in a linear shear flow close to a wall bearing a thin and soft polymer layer. Combining microfluidics and 3D optical tracking, we demonstrate that the steady-state bead/surface…

Soft Condensed Matter · Physics 2018-05-16 Heather Davies , Delphine Débarre , Nouha El Amri , Claude Verdier , Ralf P Richter , Lionel Bureau

We develop an analytic theory to describe spiral density waves propagating in a shearing disc in the weakly nonlinear regime. Such waves are generically found to be excited in simulations of turbulent accretion disks, in particular if said…

Earth and Planetary Astrophysics · Physics 2015-05-30 Tobias Heinemann , John C. B. Papaloizou

The behavior of shear-oscillated amorphous materials is studied using a coarse-grained model. Samples are prepared at different degrees of annealing and then subject to athermal and quasistatic oscillatory deformations at various fixed…

Soft Condensed Matter · Physics 2022-02-11 Chen Liu , Ezequiel E. Ferrero , Eduardo A. Jagla , Kirsten Martens , Alberto Rosso , Laurent Talon

We study a model amorphous solid that is subjected to repeated athermal cyclic shear deformation. It has previously been demonstrated that the memory of the amplitudes of shear deformation the system is subjected to (or trained at) is…

Soft Condensed Matter · Physics 2018-05-24 Monoj Adhikari , Srikanth Sastry

Passive transformation of waves via nonlinear systems is ubiquitous in settings ranging from acoustics to optics and electromagnetics. Passivity is of particular importance for responding rapidly to stimuli and nonlinearity enormously…

Materials Science · Physics 2024-07-02 Brianna MacNider , Haning Xiu , Kai Qian , Ian Frankel , Hyunsun Alicia Kim , Nicholas Boechler

Protective applications require energy-absorbing materials that are soft and compressible enough to absorb kinetic energy from impacts, yet stiff enough to bear crushing loads. Achieving this balance requires careful consideration of both…

Materials Science · Physics 2025-02-21 Abhishek Gupta , Komal Chawla , Ramathasan Thevamaran

Traumatic brain injury (TBI) occurs when local mechanical load exceeds certain tolerance levels for brain tissue. Extensive research has been done previously for brain matter experiencing compression at quasistatic loading; however, limited…

Biological Physics · Physics 2013-02-20 Badar Rashid , Michel Destrade , Michael Gilchrist

Mechanical non-reciprocity-manifested as asymmetric responses to opposing mechanical stimuli-has traditionally been achieved through intricate structural nonlinearities in metamaterials. However, continuum solids with inherent…

Soft Condensed Matter · Physics 2025-11-17 Chang Xu , Shuaihu Wang , Hong Wang , Xu Liu , Zemin Liu , Yiqiu Zhao , Wenqi Hu , Qin Xu

We analyze a recent experiment [Phys. Rev. Lett., {\bf103}, 224501 (2009)] in which the shock, created by the impact of a steel ball on a flowing monolayer of glass beads, is quantitatively studied. We argue that radial momentum is…

Soft Condensed Matter · Physics 2012-09-14 Sudhir N. Pathak , Zahera Jabeen , Purusattam Ray , R. Rajesh

The aim of this paper is to offer an analytic theory of the shear banding instability in amorphous solids that are subjected to athermal quasi-static shear. To this aim we derive nonlinear equations for the displacement field, including the…

Statistical Mechanics · Physics 2026-05-12 Avanish Kumar , Itamar Procaccia

Molecular dynamics simulations are performed to investigate the plastic response of a model glass to a local shear transformation in a quiescent system. The deformation of the material is induced by a spherical inclusion that is gradually…

Soft Condensed Matter · Physics 2015-09-30 Nikolai V. Priezjev

In this paper, we study the problem of shape-programming of incompressible hyperelastic shells through differential growth. The aim of the current work is to determine the growth tensor (or growth functions) that can produce the deformation…

Numerical Analysis · Mathematics 2022-10-13 Zhanfeng Li , Jiong Wang , Mokarram Hossain , Chennakesava Kadapa

Traditionally, the formation of amorphous shear bands (SBs) in crystalline materials has been undesirable, because SBs can nucleate voids and act as precursors to fracture. They also form as a final stage of accumulated damage. Only…

We propose a dynamical theory of low-temperature shear deformation in amorphous solids. Our analysis is based on molecular-dynamics simulations of a two-dimensional, two-component noncrystalline system. These numerical simulations reveal…

Statistical Mechanics · Physics 2009-10-30 M. L. Falk , J. S. Langer

We present new results characterizing cosmological shocks within adaptive mesh refinement N-Body/hydrodynamic simulations that are used to predict non-thermal components of large-scale structure. This represents the first study of shocks…

We are able to detect the details of spatial optical collisionless wave-breaking through the high aperture imaging of a beam suffering shock in a fluorescent nonlinear nonlocal thermal medium. This allows us to directly measure how…

Optics · Physics 2014-03-05 N. Ghofraniha , L. Santamaria Amato , V. Folli , S. Trillo , E. DelRe , C. Conti

Shell structures are generally modeled based on kinematic hypotheses, where some of the parameters are preferentially evaluated in a phenomenological manner. In this article, asymptotic analysis against the underlying three-dimensional…

Materials Science · Physics 2025-07-02 Xiwei Pan , Yichao Zhu