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Related papers: Optimizing the auxetic behavior of anisotropic lam…

200 papers

Auxetic materials, or negative-Poisson's-ratio materials, are important technologically and fascinating theoretically. When loaded by external stresses, their internal strains are governed by correlated motion of internal structural degrees…

Materials Science · Physics 2012-04-16 Raphael Blumenfeld , Sam F. Edwards

We consider 2- and 3-dimensional cubic monocrystalline and polycrystalline materials. Expressions for Young's and shear moduli and Poisson's ratio are expressed in terms of eigenvalues of the stiffness tensor. Such a form is well suited for…

Materials Science · Physics 2015-05-14 C. Jasiukiewicz , T. Paszkiewicz , S. Wolski

The paper establishes exact lower bound on the effective elastic energy of two-dimensional, three-material composite subjected to the homogeneous, anisotropic stress. It is assumed that the materials are mixed with given volume fractions…

Mathematical Physics · Physics 2014-01-29 Andrej Cherkaev , Grzegorz Dzierzanowski

Mitigating low-frequency noise is particularly challenging due to its limited natural attenuation. This study aims to design viscoelastic composite microstructures that achieve both low acoustic reflection and high internal damping by…

Applied Physics · Physics 2025-11-06 Hiroaki Deguchi , Kei Matsushima , Takayuki Yamada

The use of multifunctional composite materials adopting piezo-electric periodic cellular lattice structures with auxetic elastic behavior is a recent and promising solution in the design of piezoelectric sensors. In the present work,…

Materials Science · Physics 2017-08-02 Maria Laura De Bellis , Andrea Bacigalupo

This work comprises a detailed theoretical and computational study of the boundary value problem for transversely isotropic linear elastic bodies. General conditions for well-posedness are derived in terms of the material parameters. The…

Numerical Analysis · Mathematics 2018-11-01 Faraniaina Rasolofoson , Beverley Grieshaber , B. Daya Reddy

This paper presents a multicomponent topology optimization method for designing structures assembled from additively-manufactured components, considering anisotropic material behavior for each component due to its build orientation,…

Computational Engineering, Finance, and Science · Computer Science 2019-11-26 Yuqing Zhou , Tsuyoshi Nomura , Kazuhiro Saitou

In particular types of layer- or lamellar-like microstructures such as pearlite and lath martensite, plastic slip occurs favorably in directions parallel to inter-lamellar boundaries. This may be due to the interplay between morphology and…

Materials Science · Physics 2022-11-18 V. Rezazadeh , R. H. J. Peerlings , F. Maresca , J. P. M. Hoefnagels , M. G. D. Geers

This work is concerned with the micro-architecture of multi-layer material that globally exhibits desired mechanical properties, for instance a negative apparent Poisson ratio. We use inverse homogenization, the level set method, and the…

Optimization and Control · Mathematics 2019-01-30 Grigor Nika , Andrei Constantinescu

Optimized topology of bi-material acoustic metamaterial lattice plates is studied for maximized locally resonant bandgap of flexural guided waves. Optimized layout of the two relatively stiff and compliant material phases in the design…

Classical Physics · Physics 2016-11-22 Saeid Hedayatrasa , Kazem Abhary , Mohammad Uddin

We analyze the meson correlator in the spatial direction at finite temperature. To achieve fine resolution in the spatial direction, we use an anisotropic lattice with the standard Wilson plaquette gauge action and the $O(a)$ improved…

High Energy Physics - Lattice · Physics 2007-05-23 K. Nomura , O. Miyamura , T. Umeda , H. Matsufuru

Cloaking techniques conceal objects by controlling the flow of electromagnetic waves to minimize scattering. Herein, the effectiveness of homogenized anisotropic materials in non-resonant dielectric multilayer cloaking is studied. Because…

Optics · Physics 2014-01-07 Akihiro Takezawa , Mitsuru Kitamura

A approach for two-dimensional(2D) negative permeability in a $\Lambda$-type three-level atomic system interacting with a probe magnetic and the superposition of two orthogonal standing-wave fields is proposed. Through the theoretical…

Quantum Physics · Physics 2024-03-22 Shuang-Ying Zhang , Shun-Cai Zhao , Ai-Ling Gong

A common approach for generating an anisotropic mesh is the M-uniform mesh approach where an adaptive mesh is generated as a uniform one in the metric specified by a given tensor M. A key component is the determination of an appropriate…

Numerical Analysis · Mathematics 2012-10-11 Lennard Kamenski

Exact solutions are derived for the problem of a two-dimensional, infinitely anisotropic, linear-elastic medium containing a periodic lattice of voids. The matrix material possesses either one infinitely soft, or one infinitely hard loading…

Materials Science · Physics 2008-04-17 Francois Willot , Yves-Patrick Pellegrini , Pedro Ponte Castaneda

We present the results of numerical simulation of elastic properties of phagraphene, a recently predicted but not synthesized yet quasi-two-dimensional allotrope of graphene. We show that the Poisson'ss ratio is positive for the planar…

Mesoscale and Nanoscale Physics · Physics 2017-06-28 L. A. Openov , A. I. Podlivaev

In a previous paper \cite{Itskov-MoSM} we presented a hyperelastic isotropic material model whose stress-strain response is nonlinear even at infinitesimal deformations and cannot thus be linearized. As a result values of Poisson's ratio…

Analysis of PDEs · Mathematics 2026-04-30 Mikhail Itskov

We propose an optimisation method for the inverse structural design of self-assembly of anisotropic patchy particles. The anisotropic interaction can be expressed by the spherical harmonics of the surface pattern on a patchy particle, and…

Soft Condensed Matter · Physics 2025-02-21 Uyen Tu Lieu , Natsuhiko Yoshinaga

Mechanically reconfigurable reflectors can modify their geometries to realize large angle beam scanning. This paper studies a method for reconfiguring a reflector geometry from a standard parabolic shape to offset parabolic shapes with…

Materials Science · Physics 2021-11-02 Bin Xu , Houfei Fang , Shuidong Jiang , Yangqing Hou , Lan Lan

This paper presents an alternative approach to dehomogenisation of elastic Rank-N laminate structures based on the computer graphics discipline of phasor noise. The proposed methodology offers an improvement of existing methods, where…

Computational Engineering, Finance, and Science · Computer Science 2023-10-10 Rebekka V. Woldseth , J. Andreas Bærentzen , Ole Sigmund