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This paper presents a class of 3D single-scale isotropic materials with tunable stiffness and buckling strength obtained via topology optimization and subsequent shape optimization. Compared to stiffness-optimal closed-cell plate material,…

数值分析 · 数学 2021-05-05 Fengwen Wang , Ole Sigmund

This study examines the mechanical behavior of a novel class of mechanical metamaterials alternating pentamode lattices and stiffening plates. The unit cell of such lattices consists of a sub-lattice of the face cubic-centered unit cell…

应用物理 · 物理学 2020-02-04 F. Fraternali , A. Amendola

This study presents innovative nested-isotropic lattices for additive manufacturing, drawing inspiration from bio-architectures found in cortical bone osteons, golden spirals, and fractals. These lattices provide tunable anisotropy by…

计算工程、金融与科学 · 计算机科学 2024-05-21 R. Boda , B. Panda , S. Kumar

We present an asymptotic analysis of shell lattice metamaterials based on Ciarlet's shell theory, introducing a new metric--asymptotic directional stiffness (ADS)--to quantify how the geometry of the middle surface governs the effective…

偏微分方程分析 · 数学 2025-06-25 Di Zhang , Ligang Liu

Anisotropic acoustic metamaterials have received significant scholarly attention in recent years due to their capacity to manipulate wave propagation across various directions. This property is integral to applications involving directional…

应用物理 · 物理学 2025-06-06 Mohamed Shendy , Nima Maftoon , Armaghan Salehian

While isotropic in-plane swelling problems for thin elastic sheets have been studied extensively in recent years, many shape-programmable materials, including nematic solids and 3D-printed structures, are anisotropic, as are most industrial…

软凝聚态物质 · 物理学 2021-05-25 H. G. Wood , J. A. Hanna

For their excellent stiffness-to-weight characteristics, triply periodic minimal surfaces (TPMS) are widely adopted in architected materials. However, their geometric regularity often leads to elastic anisotropy, limiting their…

计算物理 · 物理学 2025-05-21 Minwoo Park , Junheui Jo , Seunghwa Ryu

Liquid shells (e.g. double emulsions, vesicles etc.) are susceptible to interfacial instability and rupturing when driven out of mechanical equilibrium. This poses a significant challenge for the design of liquid shell based micro-machines,…

软凝聚态物质 · 物理学 2019-10-30 Babak Vajdi Hokmabad , Kyle A. Baldwin , Carsten Krüger , Christian Bahr , Corinna C. Maass

A panoptic view of architectured planar lattices based on star-polygon tilings was developed. Four star-polygon-based lattice sub-families, formed of systematically arranged triangles, squares, or hexagons, were investigated numerically and…

软凝聚态物质 · 物理学 2023-01-05 Celal Soyarslan , Andrew Gleadall , Jiongyi Yan , Hakan Argeso , Emrah Sozumert

A numerical study on the elastic response of single- and multi-layer systems formed by alternating pentamode lattices and stiffening plates is presented. Finite element simulations are conducted to analyze the dependence of the effective…

应用物理 · 物理学 2020-01-08 A. Amendola , G. Carpentieri , L. Feo , F. Fraternali

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…

应用物理 · 物理学 2020-10-13 Kaivan Mohammadi , Mohammad R. Movahhedy , Igor Shishkovsky , Reza Hedayati

Instabilities in thin elastic sheets, such as wrinkles, are of broad interest both from a fundamental viewpoint and also because of their potential for engineering applications. Nematic liquid crystal elastomers offer a new form of control…

软凝聚态物质 · 物理学 2019-10-03 Madison S. Krieger , Marcelo A. Dias

Plasticity is inherent to many engineering materials such as metals. While it can degrade the load-carrying capacity of structures via material yielding, it can also protect structures through plastic energy dissipation. To fully harness…

计算工程、金融与科学 · 计算机科学 2025-02-05 Yingqi Jia , Xiaojia Shelly Zhang

Designing anisotropic structured materials by reducing symmetry results in unique behaviors, such as shearing under uniaxial compression or tension. This direction-dependent coupled mechanical phenomenon is crucial for applications such as…

材料科学 · 物理学 2024-08-06 Jagannadh Boddapati , Chiara Daraio

The loading of a granular material induces anisotropies of the particle arrangement (fabric) and of the material's strength, incremental stiffness, and permeability. Thirteen measures of fabric anisotropy are developed, which are arranged…

软凝聚态物质 · 物理学 2018-12-21 Matthew R. Kuhn , WaiChing Sun , Qi Wang

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…

软凝聚态物质 · 物理学 2024-04-30 Wenqian Sun , Cody Rasmussen , Roman Vetter , Jayson Paulose

Inspired by natural cellular materials such as trabecular bone, lattice structures have been developed as a new type of lightweight material. In this paper we present a novel method to design lattice structures that conform with both the…

计算工程、金融与科学 · 计算机科学 2019-09-06 Jun Wu , Weiming Wang , Xifeng Gao

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…

材料科学 · 物理学 2022-11-18 V. Rezazadeh , R. H. J. Peerlings , F. Maresca , J. P. M. Hoefnagels , M. G. D. Geers

Topology optimization (TO) has experienced a dramatic development over the last decades aided by the arising of metamaterials and additive manufacturing (AM) techniques, and it is intended to achieve the current and future challenges. In…

The compliance matrix for a general anisotropic material is usually expressed in an arbitrarily chosen coordinate system, which brings some confusion or inconvenience in identifying independent elastic material constants and comparing…

材料科学 · 物理学 2017-03-08 Jiamin Zhao , Xiaoxiong Song , Bin Liu
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