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An optimization method for the design of multi-lattice structures satisfying local buckling constraints is proposed in this paper. First, the concept of free material optimization is introduced to find an optimal elastic tensor distribution…

Computational Geometry · Computer Science 2021-11-10 Xingtong Yang , Xinzhuo Hu , Liangchao Zhu , Ming Li

Dynamical and self-trapping properties of two-dimensional (2D) binary mixtures of Bose-Einstein condensates (BECs) in cross-combined lattices consisting of a one-dimensional (1D) linear optical lattice (LOL) in the $x-$ direction for the…

Pattern Formation and Solitons · Physics 2023-11-02 K. K. Ismailov , G. A. Sekh , Mario Salerno

Driven vortex lattices have been studied in a material with strong pinning, such as Nb films. Samples in which natural random pinning coexists with artificial ordered arrays of defects (submicrometric Ni dots) have been fabricated with…

Superconductivity · Physics 2009-11-07 M. Velez , D. Jaque , J. I. Martin , F. Guinea , J. L. Vicent

In this paper, we predict the effect of texture on the anisotropy in plastic properties of polycrystalline metallic sheets. The constituent grain behavior is modelled using the new single crystal yield criterion developed by Cazacu, Revil,…

Materials Science · Physics 2018-08-01 Nitin Chandola , Oana Cazacu , Benoit Revil-Baudard

We present an analytical model to investigate the mechanics of 2-dimensional lattices composed of elastic beams of non-uniform cross-section. Our approach is based on reducing a lattice to a single beam subject to the action of a set of…

Soft Condensed Matter · Physics 2016-02-22 Daniel J. Rayneau-Kirkhope , Marcelo A. Dias

A numerical method to design nonlinear double- and multi-bend achromat (DBA and MBA) lattices with approximate invariants of motion is investigated. The search for such nonlinear lattices is motivated by Fermilab's Integrable Optics Test…

Accelerator Physics · Physics 2022-01-05 Yongjun Li , Kilean Hwang , Chad Mitchell , Robert Rainer , Robert Ryne , Victor Smaluk

Fiber-reinforced soft biological tissues are typically modeled as hyperelastic, anisotropic, and nearly incompressible materials. To enforce incompressibility a multiplicative split of the deformation gradient into a volumetric and an…

Numerical Analysis · Mathematics 2022-04-13 Elias Karabelas , Matthias A. F. Gsell , Gundolf Haase , Gernot Plank , Christoph M. Augustin

Composite structures must endure a great variety of multi-axial stress states during their lifespan while guaranteeing their structural integrity and functional performance. Understanding the fatigue behavior of these materials, especially…

Applied Physics · Physics 2019-07-25 Yao Qiao , Antonio Alessandro Deleo , Marco Salviato

We present both experimental and numerical investigations of compaction in granular materials composed of rods. As a function of the aspect ratio of the particles, we have observed large variations of the asymptotic packing volume fraction…

Statistical Mechanics · Physics 2009-11-10 G. Lumay , N. Vandewalle

Superlattices presenting a spatial modulation of the elastic properties appear as a main tool to reach the THz regime in nanoacoustic devices. The exploration of alternative materials with multifunctional properties remains a fertile domain…

In this work, we investigate the dynamics and attenuation properties of a one-dimensional inertial amplified lattice with opposite chirality. The unit cell of the structure consists of a hollow-square plate connected to a ring through…

We review nine invariant and dispersion-type anisotropic hyperelastic constitutive models for soft biological tissues based on their fitting performance to experimental data from three different human tissues. For this, we used a hybrid…

Numerical Analysis · Mathematics 2022-07-29 Hüsnü Dal , Alp Kağan Açan , Ciara Durcan , Mokarram Hossain

In this Letter we report the investigation of transport and static properties of a Bose-Einstein condensate in a large-spaced optical lattice. The lattice spacing can be easily tuned starting from few micrometers by adjusting the relative…

Other Condensed Matter · Physics 2009-11-11 Leonardo Fallani , Chiara Fort , Jessica Lye , Massimo Inguscio

We derive a model describing spatio-temporal organization of an array of microtubules interacting via molecular motors. Starting from a stochastic model of inelastic polar rods with a generic anisotropic interaction kernel we obtain a set…

Soft Condensed Matter · Physics 2007-05-23 Igor S. Aranson , Lev S. Tsimring

Anisotropy, as an exotic degree of freedom, enables us to discover the emergent two-dimensional (2D) layered nanomaterials with low in-plane symmetry and to explore their outstanding properties and promising applications. 2D black arsenic…

Materials Science · Physics 2023-11-01 Yunfei Yu , Guoshuai Du , Shang Chen , Jingjing Zhang , Yubing Du , Qinglin Xia , Ke Jin , Yabin Chen

Manipulating magnetic anisotropy (MA) purposefully in transition metal oxides (TMOs) enables the development of oxide-based spintronic devices with practical applications. Here, we report a pathway to reversibly switch the lateral magnetic…

We study two dimensional tactoids in nematic liquid crystals by using a $\mathbf{Q}$-tensor representation. A bulk free energy of the Maier-Saupe form with eigenvalue constraints on $\mathbf{Q}$, plus elastic terms up to cubic order in…

Soft Condensed Matter · Physics 2022-10-17 Cody D. Schimming , Jorge Viñals

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

We discuss a system of dilute Bose gas confined in a layered structure of stacked square lattices (slab geometry). A derived phase diagram reveals a non-monotonic dependence of the ratio of tunneling to on-site repulsion on the artificial…

Quantum Gases · Physics 2011-02-17 T. A. Zaleski , T. P. Polak

To investigate the anisotropic properties of biomaterials, two distinct classes are considered: polymer-based (e.g., cellulose in plants) and crystalline-based (e.g., enamel in teeth), each demonstrating distinct structural and functional…