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Related papers: Anisotropic auxetic composite laminates: a polar a…

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Additively manufactured auxetic structures offer desirable qualities like lightweight, good energy absorption, excellent indentation resistance, high shear stiffness and fracture toughness among others. A wide range of materials from…

Materials Science · Physics 2025-10-31 Sima Farshbaf , Narges Dialami , Miguel Cervera

This paper contains a set of theoretical results concerning the coupling tensor B of an anisotropic laminate and of its compliance corresponding B. The theoretical analysis and the mechanical results are obtained through an extensive use of…

Mathematical Physics · Physics 2023-11-15 Paolo Vannucci

Materials with a negative Poisson's ratio, also known as auxetic materials, exhibit unusual and counterintuitive mechanical behavior - becoming fatter in cross-section when stretched. Such behavior is mostly attributed to some special…

Materials Science · Physics 2018-01-19 Liping Yu , Qimin Yan , Adrienn Ruzsinszky

Transition metal carbides include a wide variety of materials with attractive properties that are suitable for numerous and diverse applications. Most recent experimental advance could provide a path toward successful synthesis of…

Materials Science · Physics 2017-04-17 B Mortazavi , M Shahrokhi , M Makaremi , T Rabczuk

This work proposes the complete design cycle for several auxetic materials where the cycle consists of three steps (i) the design of the micro-architecture, (ii) the manufacturing of the material and (iii) the testing of the material. We…

Applied Physics · Physics 2024-03-04 Filippo Agnelli , Andrei Constantinescu , Grigor Nika

We propose a class of auxetic three-dimensional lattice structures. The elastic microstructure can be designed in order to have omni-directional Poisson's ratio arbitrarily close to the stability limit -1. The cubic behavior of the periodic…

Classical Physics · Physics 2016-04-20 Luigi Cabras , Michele Brun

Auxetic materials (materials with negative Poisson's ratio) and nanomaterials have independently been for many years two of the most active research fields in material science. Recently, these formerly independent fields have begun to…

Materials Science · Physics 2016-10-18 Jin-Wu Jiang , Sung Youb Kim , Harold S. Park

The paper studies the modes of vibrations of a lattice with rod-like particles, in a continuum model where the sites of the lattice are the connections among strings and rigid rods. In these structures then, translational and rotational…

Materials Science · Physics 2007-06-28 A. Sparavigna

In the equivalent single layer theories of anisotropic laminates, the coupling tensor B describes the relation between the in- and out-of plane behavior of the plate. This tensor has some peculiar characteristics and in particular it is not…

Mathematical Physics · Physics 2024-06-27 P. Vannucci

We consider in this paper the general properties of laminates designed to be isotropic in extension and in bending and with a coupling between the in- and out-of plane responses. In particular, we analyze the mathematical properties of the…

Classical Physics · Physics 2024-06-06 Paolo Vannucci

The modes of vibrations in honeycomb and auxetic structures are studied, with models in which the lattice is represented by a planar network where sites are connected by strings and rigid rods. The auxetic network is obtained modifying a…

Materials Science · Physics 2009-11-13 A. Sparavigna

Superhydrophobic materials are often inspired by nature, whereas metamaterials are engineered to have properties not usually found in naturally occurring materials. In both cases, the key that unlocks their unique properties is structure.…

This work studies the constitutive response of two- and three-dimensional lattice materials subject to isotropic prestress. The unit cell of the examined lattices is formed by an arbitrary number of junctions attached to a junction.…

Classical Physics · Physics 2019-12-30 Ada Amendola , Fernando Fraternali

Auxetic materials become thicker rather than thinner when stretched, exhibiting an unusual negative Poisson's ratio well suited for designing shape transforming metamaterials. Current auxetic designs, however, are often monostable and…

Soft Condensed Matter · Physics 2016-12-20 Ahmad Rafsanjani , Damiano Pasini

A novel computational framework for designing metamaterials with negative Poisson's ratio over a large strain range is presented in this work by combining the density-based topology optimization together with a mixed stress/deformation…

Computational Engineering, Finance, and Science · Computer Science 2019-07-31 Guodong Zhang , Kapil Khandelwal

Dilational materials are stable three-dimensional isotropic auxetics with an ultimate Poisson's ratio of -1. We design, evaluate, fabricate, and characterize crystalline metamaterials approaching this ideal. To reveal all modes, we…

Materials Science · Physics 2015-06-17 Tiemo Bückmann , Robert Schittny , Michael Thiel , Muamer Kadic , Graeme W. Milton , Martin Wegener

Pentamode metamaterials are a type of extremal designer metamaterials which are able to demonstrate high rigidity in one direction and extremely high compliance in other directions. Pentamodes can, therefore, be considered as building…

Applied Physics · Physics 2020-10-13 Kaivan Mohammadi , Mohammad R. Movahhedy , Igor Shishkovsky , Reza Hedayati

Explicit expressions for inverse of Young's modulus E, inverse of shear modulus G, and Poisson's ratio for cubic media are considered. All these characteristics of elastic media depend on three components of the compliance tensor S, and on…

Materials Science · Physics 2015-06-25 T. Paszkiewicz , S. Wolski

Organic exciton-photon polariton lasers have recently been shown to be remarkable candidates for the realization of efficient sources of coherent light operating at room temperature. While their thresholds are now comparable with…

Optics · Physics 2022-02-22 F. Le Roux , A. Mischok , D. D. C. Bradley , M. C. Gather

The main result of this work is a homogenization theorem via variational convergence for elastic materials with stiff checkerboard-type heterogeneities under the assumptions of physical growth and non-self-interpenetration. While the…

Analysis of PDEs · Mathematics 2023-03-29 Wolf-Patrick Düll , Dominik Engl , Carolin Kreisbeck