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In this paper, we present an experimental study on plastic deformation and damage of polycrystalline pure Ti, as well as modeling of the observed behavior. From the mechanical characterization data, it can be concluded that the material…

Materials Science · Physics 2016-02-17 Benoit Revil-Baudard , Oana Cazacu , Philip Flater , Nitin Chandola , J. L. Alves

Drawing an analogy to the paradigm of quasi-elastic neutron scattering, we present a general approach for quantitatively investigating the spatiotemporal dependence of structural anisotropy relaxation in deformed polymers by using…

We design a two-dimensional ultra-thin elastic metasurface consisting of steel cores coated with elliptical rubbers embedded in epoxy matrix, capable of manipulating bulk elastic wave modes for reflected waves. The energy exchanges between…

Applied Physics · Physics 2018-06-27 Pai Peng , Cheng Feng , Kangcheng Zhou

Orthotropic shell structures are ubiquitous in biology and engineering, from bacterial cell walls to reinforced domes. We present a rescaling transformation that maps an orthotropic shallow shell to an isotropic one with a different local…

Soft Condensed Matter · Physics 2024-04-30 Wenqian Sun , Cody Rasmussen , Roman Vetter , Jayson Paulose

This paper presents a theory for the behaviour of isotropic-hardening/softening elastoplastic materials that do not have a preferred reference configuration. In spite of important differences, many ingredients of classical plasticity are…

Mathematical Physics · Physics 2011-01-11 José Jorge Nader

Soft matter systems are common in nature and make up nearly all the essential components necessary for life, from cells to the organelles within those cells. The ability of these soft materials to deform is crucial for the proper…

Soft Condensed Matter · Physics 2025-12-02 Padmanabha Bose , Smarajit Karmakar

The isotropic elastic moduli closest to a given anisotropic elasticity tensor are defined using three definitions of elastic distance, the standard Frobenius (Euclidean) norm, the Riemannian distance for tensors, and the log-Euclidean norm.…

Materials Science · Physics 2007-05-23 Andrew N. Norris

The problem of the effects of compressibility and large-scale anisotropy on anomalous scaling behavior is considered for two models describing passive advection of scalar density and tracer fields. The advecting velocity field is Gaussian,…

Chaotic Dynamics · Physics 2009-10-31 N. V. Antonov , Juha Honkonen

In this contribution, the use of discrete simulations to formulate an anisotropic damage model is investigated. It is proposed to use a beam-particle model to perform numerical characterization tests. Indeed, this discrete model explicitly…

Classical Physics · Physics 2021-05-19 C Oliver-Leblond , R Desmorat , Boris Kolev

For various engineering and industrial applications it is desirable to realize mechanical systems with broadly adjustable elasticity to respond flexibly to the external environment. Here we discover a topology-correlated transition between…

A field-theoretic approach is applied to describe behavior of three-dimensional, weakly disordered, elastically isotropic, compressible systems with long-range interactions at various values of a long-range interaction parameter.…

Statistical Mechanics · Physics 2007-05-23 S. V. Belim

The accurate determination of the elastic properties is non-trivial for metallic foils. The measured elastic modulus is often described in literature as significantly smaller than the respective modulus of the bulk counterparts. This paper…

Materials Science · Physics 2020-09-30 C. O. W. Trost , S. Wurster , C. Freitag , A. Steinberger , M. J. Cordill

We propose a simple dynamic model of polymers under shear with an anisotropic mobility tensor. We calculate the shear viscosity, the rheo-dielectric response function, and the parallel relaxation modulus under shear flow deduced from our…

Soft Condensed Matter · Physics 2011-07-05 Takashi Uneyama , Kazushi Horio , Hiroshi Watanabe

The compliance matrix for a general anisotropic material is usually expressed in an arbitrarily chosen coordinate system, which brings some confusion or inconvenience in identifying independent elastic material constants and comparing…

Materials Science · Physics 2017-03-08 Jiamin Zhao , Xiaoxiong Song , Bin Liu

Elastic properties of the solid regions of neutron star crusts and white dwarfs play an important role in theories of stellar oscillations. Matter in compact stars is presumably polycrystalline and, since the elastic properties of single…

Solar and Stellar Astrophysics · Physics 2015-06-23 D. Kobyakov , C. J. Pethick

The nonlinear response of molecular systems undergoing Markovian stochastic reorientations is calculated up to fifth order in the amplitude of the external field. Time-dependent perturbation theory is used to compute the relevant response…

Soft Condensed Matter · Physics 2018-10-10 Gregor Diezemann

Some issues that arise when modeling elastic energy for binary alloys are discussed within the context of a Keating model and density functional calculations. The Keating model is based on atomistic modeling of elastic interactions in…

Materials Science · Physics 2015-12-30 Arvind Baskaran , Christian Ratsch , Peter Smereka

Elastic properties of soft, three-dimensional dimers, interacting through site-site n-inverse-power potential, are determined by computer simulations at zero temperature. The degenerate crystal of dimers exhibiting (Gaussian) size…

Computational Physics · Physics 2015-04-14 J. W. Narojczyk , K. W. Wojciechowski

We realize experimentally a cold atom system equivalent to the 3D Anderson model of disordered solids where the anisotropy can be controlled by adjusting an experimentally accessible parameter. This allows us to study experimentally the…

Disordered Systems and Neural Networks · Physics 2013-06-27 Matthias Lopez , Jean-François Clément , Gabriel Lemarié , Dominique Delande , Pascal Szriftgiser , Jean Claude Garreau

We develop a mesoscopic model to study the plastic behavior of an amorphous material under cyclic loading. The model is depinning-like and driven by a disordered thresholds dynamics which are coupled by long-range elastic interactions. We…

Soft Condensed Matter · Physics 2023-08-07 Dheeraj Kumar , Sylvain Patinet , Craig E. Maloney , Ido Regev , Damien Vandembroucq , Muhittin Mungan