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We study the rheological response at low temperature of a sheared model disordered material as a function of the bond rigidity. We find that the flow curves follow a Herschel-Bulkley law, whatever is the bond rigidity, with an exponent…

软凝聚态物质 · 物理学 2014-04-01 C. Fusco , T. Albaret , A. Tanguy

The constitutive relation of the quasi-static deformation on two dimensional packed samples of polygons is calculated using molecular dynamic simulations. The stress values at which the system remains stable are bounded by a failure…

材料科学 · 物理学 2007-05-23 F. Alonso-Marroquin , H. J. Herrmann

Atomistic deformation simulations in the nominally elastic regime are performed for a model binary glass with strain rates as low as $10^{4}$/sec (corresponding to 0.01 shear strain per 1$\mu$sec). A robust elasticity is revealed that…

软凝聚态物质 · 物理学 2020-11-21 P. M. Derlet , R. Maass

We introduce a design principle for mechanical metamaterials based on "odd elasticity, once removed." By revisiting classic results relating the variation of Cauchy stress and Lagrangian strain around a prestressed reference state, we show…

软凝聚态物质 · 物理学 2025-09-25 Tyler A. Engstrom , Daniel M. Sussman

The canonical models for studying the unjamming scenario in systems of soft repulsive particles assume pairwise potentials with a sharp cut-off in the interaction range. The sharp cut-off renders the potential non-analytic, but makes it…

软凝聚态物质 · 物理学 2017-07-05 Stefan Kooij , Edan Lerner

The dynamics of defect excitations in crystalline solids is necessary to understand the macroscopic low-energy properties of elastic media. We use fracton-elasticity duality to systematically study the defect dynamics and interactions in…

材料科学 · 物理学 2024-05-07 Lazaros Tsaloukidis , Piotr Surówka

Compressing or cooling a fluid typically enhances its static interparticle correlations. However, there are notable exceptions. Isothermal compression can reduce the translational order of fluids that exhibit anomalous waterlike trends in…

软凝聚态物质 · 物理学 2008-04-11 William P. Krekelberg , Jeetain Mittal , Venkat Ganesan , Thomas M. Truskett

The dynamics of dilute electrons can be modeled by the fundamental one-species Vlasov-Poisson-Boltzmann system which describes mutual interactions of the electrons through collisions in the self-consistent electrostatic field. For cutoff…

偏微分方程分析 · 数学 2015-06-19 Qinghua Xiao , Linjie Xiong , Huijiang Zhao

We provide a rigorous mathematical analysis of a coupled system consisting of a floating platform in a fluid of finite depth, clamped to a flexible Euler-Bernoulli beam. The superstructure supports a rigid tip mass at its free end,…

偏微分方程分析 · 数学 2026-03-16 Vicente Ocqueteau

The derivation of determinant representations for the space-, time-, and temperature-dependent correlation functions of the impenetrable Gaudin-Yang model in the presence of a trapping potential is presented. These representations are valid…

量子气体 · 物理学 2025-08-05 Ovidiu I. Patu

In this paper, we study the preferential stiffness and the crack-tip fields for an elastic porous solid of which material properties are dependent upon the density. Such a description is necessary to describe the failure that can be caused…

数值分析 · 数学 2022-12-19 Hyun C. Yoon , S. M. Mallikarjunaiah , Dambaru Bhatta

We have studied experimentally and theoretically the response of randomly folded hyperelastic and elastoplastic sheets on the uniaxial compression loading and the statistical properties of crumpling networks. The results of these studies…

统计力学 · 物理学 2008-08-26 Alexander S. Balankin , Orlando Susarrey Huerta

Here we introduce a variation of the trap model of glasses based on softness, a local structural variable identified by machine learning, in supercooled liquids. Softness is a particle-based quantity that reflects the local structural…

软凝聚态物质 · 物理学 2024-03-29 Sean A. Ridout , Indrajit Tah , Andrea J. Liu

We consider a discrete model of planar elasticity where the particles, in the reference configuration, sit on a regular triangular lattice and interact through nearest neighbor pairwise potentials, with bonds modeled as linearized elastic…

Amorphous solids display numerous universal features in their mechanics, structure, and response. Current models assume heterogeneity in mesoscale elastic properties, but require fine-tuning in order to quantitatively explain vibrational…

无序系统与神经网络 · 物理学 2022-03-16 Masanari Shimada , Eric De Giuli

We consider near-critical two-dimensional statistical systems at phase coexistence on the half plane with boundary conditions leading to the formation of a droplet separating coexisting phases. General low-energy properties of…

统计力学 · 物理学 2022-12-02 Alessio Squarcini , Antonio Tinti

Though extensively studied, hardness, defined as the resistance of a material to deformation, still remains a challenging issue for a formal theoretical description due to its inherent mechanical complexity. The widely applied Teter's…

材料科学 · 物理学 2011-06-15 Xing-Qiu Chen , Haiyang Niu , Dianzhong Li , Yiyi Li

We present a computational approach to the outcoupling in a simple one-dimensional atom laser model, the objective being to circumvent mathematical difficulties arising from the breakdown of the Born and Markov approximations. The approach…

凝聚态物理 · 物理学 2012-03-02 Georgios M. Nikolopoulos , P. Lambropoulos , N. P. Proukakis

The analysis of complex fibrous systems or materials on the micro- and nanoscale, which have a high practical relevance for many technical or biological systems, requires accurate analytical descriptions of the adhesive and repulsive forces…

计算工程、金融与科学 · 计算机科学 2022-08-19 Maximilian J. Grill , Wolfgang A. Wall , Christoph Meier

We investigate the dynamics of overdamped $D$-dimensional systems of particles repulsively interacting through short-ranged power-law potentials, $V(r)\sim r^{-\lambda}\;(\lambda/D>1)$. We show that such systems obey a non-linear diffusion…