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Functionally graded porous plates have been validated as remarkable lightweight structures with excellent mechanical characteristics and numerous applications. With inspiration from the high strength-to-volume ratio of triply periodic…

Materials Science · Physics 2023-04-11 H. Nguyen-Xuan , Kim Q. Tran , Chien H. Thai , Jaehong Lee

Much work has been done in topology optimization of multiscale structures for maximum stiffness or minimum compliance design. Such approaches date back to the original homogenization-based work by Bends{\o}e and Kikuchi from 1988, which…

Computational Engineering, Finance, and Science · Computer Science 2023-05-01 Christoffer Fyllgraf Christensen , Fengwen Wang , Ole Sigmund

Rapid advances in additive manufacturing over the past decade have kindled widespread interest in the rational design of metamaterials with unique properties. However, many applications require multi-physics metamaterials, where multiple…

Materials Science · Physics 2021-02-10 Sebastien J. P. Callens , Christoph H. Arns , Alina Kuliesh , Amir A. Zadpoor

Precise manipulation of shape-morphing responsive materials is crucial for applications in soft robotics and adaptive structures. While notable precision has been achieved in thin two-dimensional sheets, an accurate volumetric…

Soft Condensed Matter · Physics 2026-05-26 Shachaf Rotem , Hillel Aharoni

In this third and final paper of a series, elastic properties of numerically simulated isotropic packings of spherical beads assembled by different procedures and subjected to a varying confining pressure P are investigated. In addition P,…

Disordered Systems and Neural Networks · Physics 2016-09-08 Ivana Agnolin , Jean-Noël Roux

Shell structures are generally modeled based on kinematic hypotheses, where some of the parameters are preferentially evaluated in a phenomenological manner. In this article, asymptotic analysis against the underlying three-dimensional…

Materials Science · Physics 2025-07-02 Xiwei Pan , Yichao Zhu

This paper introduces a heuristic topology optimization framework for thin-walled, 2D extruded lattice structures subject to complex high-speed loading. The proposed framework optimizes the wall thickness distribution in the lattice cross…

Optimization and Control · Mathematics 2022-10-24 Junyan He , Shashank Kushwaha , Diab Abueidda , Iwona Jasiuk

A theory of linearly elastic orthotropic shells is presented, with potential application to the continuous modeling of Carbon NanoTubes. Two relevant features are: the selected type of orthotropic response, which should be suitable to…

Mathematical Physics · Physics 2016-01-20 Antonino Favata , Paolo Podio-Guidugli

We study inverse problems in anisotropic elasticity using tools from algebraic geometry. The singularities of solutions to the elastic wave equation in dimension $n$ with an anisotropic stiffness tensor have propagation kinematics captured…

Differential Geometry · Mathematics 2025-05-01 Maarten V. de Hoop , Joonas Ilmavirta , Matti Lassas , Anthony Várilly-Alvarado

The quantitative knowledge of interface anisotropy in lattice models is a major issue, both for the parametrization of continuum interface models, and for the analysis of experimental observations. In this paper, we focus on the anisotropy…

Statistical Mechanics · Physics 2022-02-09 Luca Gagliardi , Olivier Pierre-Louis

The signature topological feature of Maxwell lattices is their polarization, which manifests as an unbalance in stiffness between opposite edges of a finite domain. The manifestation of this asymmetry is especially dramatic in the case of…

Materials Science · Physics 2024-09-19 Luca Iorio , Raffaele Ardito , Stefano Gonella

Topology optimization (TO) in two dimensions often presents a trade-off between structural performance and manufacturability, with unpenalized (variable-thickness) methods yielding superior but complex designs, and penalized (SIMP) methods…

Computational Engineering, Finance, and Science · Computer Science 2025-07-28 Gabriel Stankiewicz , Chaitanya Dev , Paul Steinmann

This paper presents a homogenized topology optimization (TO) method for spatially optimizing cell-size distribution of triply-periodic minimal surface (TPMS) structures, with high accuracy in the optimized structural response after…

Optimization and Control · Mathematics 2026-05-08 Hiroki Kawabe , Kaito Ohtani , Yusibo Yang , Musaddiq Al Ali , Kentaro Yaji

Thin sheets can be assembled into tubular origami structures that combine deployability with pronounced anisotropic stiffness, enabling applications ranging from robotics to deployable systems. However, most existing tubular origami designs…

Applied Physics · Physics 2026-04-15 Mingkai Zhang , Davood Farhadi

Since its introduction more than 60 years ago, the Hashin-Shtrikman upper bound has stood as the theoretical limit for the stiffness of isotropic composites and porous solids, acting as an important reference against which the moduli of…

Materials Science · Physics 2024-11-19 Manish Kumar Singh , Chang Quan Lai

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

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

We present an experimental method to fabricate centimetric thin elastic capsules with highly uniform thickness and negligible bending stiffness using silicone elastomers. In our experiments, the capsules thickness is tunable at fabrication,…

Soft Condensed Matter · Physics 2026-03-05 Antonin Eddi , Stéphane Perrard , Jishen Zhang

Elastic metasurfaces offer precise control over elastic waves for applications such as vibration isolation, sensing, and imaging. However, achieving high-efficiency and scattering-free performance with complex functionalities remains a…

Applied Physics · Physics 2025-12-15 Chun Min Li , Wenjing Ye

The level-set method of topology optimization is used to design isotropic two-phase periodic multifunctional composites in three dimensions. One phase is stiff and insulating whereas the other is conductive and mechanically compliant. The…

Materials Science · Physics 2007-12-20 V. J. Challis , A. P. Roberts , A. H. Wilkins