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We present a new framework for the simultaneous optimiziation of both the topology as well as the relative density grading of cellular structures and materials, also known as lattices. Due to manufacturing constraints, the optimization…

Computational Engineering, Finance, and Science · Computer Science 2025-05-27 Jonathan Stollberg , Tarun Gangwar , Oliver Weeger , Dominik Schillinger

Microfluidic valves play a key role within microfluidic systems by regulating fluid flow through distinct microchannels, enabling many advanced applications in medical diagnostics, lab-on-chips, and laboratory automation. While microfluidic…

Materials Science · Physics 2023-12-19 Tinku Supakar , David Space , Sophy Meija , Rou Yu Tan , Jeffrey R. Alston , Eric A. Josephs

Long range order and symmetry in heterogeneous materials architected on crystal lattices lead to elastic and inelastic anisotropies and thus limit mechanical functionalities in particular crystallographic directions. Here, we present a…

Soft Condensed Matter · Physics 2025-11-17 Jehoon Moon , Gisoo Lee , Jaehee Lee , Hansohl Cho

The ability to design and fabricate materials with tailored mechanical properties, combined with immunity to damage, is a frontier of materials engineering. For example, materials which are characterized by elastic properties that depend on…

Soft Condensed Matter · Physics 2017-07-07 Osama R. Bilal , Roman Süsstrunk , Chiara Daraio , Sebastian D. Huber

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

The architecture of mechanical metamaterialsis designed to harness geometry, non-linearity and topology to obtain advanced functionalities such as shape morphing, programmability and one-way propagation. While a purely geometric framework…

Soft Condensed Matter · Physics 2018-02-14 Corentin Coulais , Chris Kettenis , Martin van Hecke

This work proposes a new efficient approach for calculating the bending stiffness of two-dimensional materials using simple atomistic tests on small periodic unit cells. The tests are designed such that bending deformations are dominating…

Materials Science · Physics 2022-12-23 Farzad Shirazian , Roger A. Sauer

Additive Manufacturing (AM) has enabled the fabrication of metallic cellular materials that are of interest in the design of lightweight impact resistant structures. However, there is a need to understand the interactions between: (i) the…

Materials Science · Physics 2022-12-02 M. Simoes , J. A. Harris , S. Ghouse , P. A. Hooper , G. J. McShane

Mechanical metamaterials have continued to offer unprecedented tunability in mechanical properties, but most designs to date have prioritized attaining high stiffness and strength while sacrificing deformability. The emergence of woven…

Soft Condensed Matter · Physics 2026-04-21 Molly Carton , James Utama Surjadi , Bastien F. G. Aymon , Carlos M. Portela

Biomaterials are becoming an essential tool in the study and application of stem cell research. Various types of biomaterials enable three-dimensional (3D) culture of stem cells, and, more recently, also enable high-resolution patterning…

Tissues and Organs · Quantitative Biology 2016-10-11 Richard J. McMurtrey

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

In this paper, we present the realization of an elastic metamaterial allowing independent tuning of negative density and stiffness for elastic waves propagating along a designated direction. In electromagnetic (or acoustic) metamaterials,…

Other Condensed Matter · Physics 2016-01-14 Joo Hwan Oh , Young Eui Kwon , Hyung Jin Lee , Yoon Young Kim

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

We report detailed theoretical investigations of the micro-mechanics and bulk elastic properties of composites consisting of randomly distributed stiff fibers embedded in an elastic matrix in two and three dimensions. Recent experiments…

Soft Condensed Matter · Physics 2013-05-29 Moumita Das , F. C. MacKintosh

Bistable Auxetic Metamaterials (BAMs) are a class of monolithic perforated periodic structures with negative Poisson's ratio. Under tension, a BAM can expand and reach a second state of equilibrium through a globally large shape…

Applied Physics · Physics 2017-11-28 Xiao Shang , Lu Liu , Ahmad Rafsanjani , Damiano Pasini

In this work, a novel hierarchical mechanical metamaterial is proposed that is composed of re-entrant truss-lattice elements. It is shown that this system can deform very differently and can exhibit a versatile extent of the auxetic…

Applied Physics · Physics 2022-11-14 Krzysztof K. Dudek , Julio A. Iglesias Martínez , Muamer Kadic

The Poisson's ratio is a fundamental mechanical property that relates the resulting lateral strain to applied axial strain. While this value can theoretically be negative, it is positive for nearly all materials, though negative values have…

Materials Science · Physics 2014-08-19 Jin-Wu Jiang , Harold S. Park

Various two-dimensional fabrication methods, such as deposition, etching, milling, laser cutting, and water jetting, suffer from asymmetry between the top and the bottom surface of fabricated parts. Such asymmetry is usually undesirable and…

Applied Physics · Physics 2023-05-19 Majid Kheybari , Osama R. Bilal

Similar to Poisson's effect, mechanical coupling is a directional indirect response by a directional input loading. With the advance in manufacturing techniques of 3D complex geometry, architected materials with unit cells of finite volume…

Materials Science · Physics 2023-01-11 Zhiming Cui , Zhihao Yuan , Jaehyung Ju

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
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