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When modelling discontinuities (interfaces) using the finite element method, the standard approach is to use a conforming finite-element mesh in which the mesh matches the interfaces. However, this approach can prove cumbersome if the…

Computational Engineering, Finance, and Science · Computer Science 2024-06-06 Jedrzej Dobrzanski , Kajetan Wojtacki , Stanislaw Stupkiewicz

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

This work presents a computational method for the design of architected truss lattice materials where each strut can be made of one of a set of available materials. We design the lattices to extremize effective properties. As customary in…

Computational Engineering, Finance, and Science · Computer Science 2020-04-22 Hesaneh Kazemi , Ashkan Vaziri , Julian A. Norato

Elastic wave manipulation is important in a wide variety of scales in applications including information processing in tiny elastic devices and noise control in big solid structures. The recent emergence of topological materials opens a new…

Materials Science · Physics 2022-10-05 Ying Wu , Jiuyang Lu , Xueqin Huang , Yating Yang , Li Luo , Linyun Yang , Feng Li , Weiyin Deng , Zhengyou Liu

Fully resolving dynamics of materials with rapidly-varying features involves expensive fine-scale computations which need to be conducted on macroscopic scales. The theory of homogenization provides an approach to derive effective…

Numerical Analysis · Mathematics 2022-06-07 Kaushik Bhattacharya , Burigede Liu , Andrew M. Stuart , Margaret Trautner

Topology optimization (TO) is a well-established methodology for structural design under user-defined constraints, e.g. minimum volume and maximum stiffness. However, such methods have traditionally been applied to static, deterministic…

Computational Physics · Physics 2025-03-28 Luis Irastorza-Valera , Luis Saucedo-Mora

Triply periodic minimal surface (TPMS) metamaterials characterized by mathematically-controlled topologies exhibit better mechanical properties compared to uniform structures. The unit cell topology of such metamaterials can be further…

Computational Engineering, Finance, and Science · Computer Science 2023-03-20 Asha Viswanath , Diab W Abueidda , Mohamad Modrek , Kamran A Khan , Seid Koric , Rashid K. Abu Al-Rub

Mechanical and phononic metamaterials exhibiting negative elastic moduli, gapped vibrational spectra, or topologically protected modes enable precise control of structural and acoustic functionalities. While much progress has been made in…

Materials Science · Physics 2019-09-25 Henrik Ronellenfitsch , Norbert Stoop , Josephine Yu , Aden Forrow , Jörn Dunkel

In this paper we use memory-distributed level set-based topology optimisation to design three-dimensional periodic piezoelectric materials with enhanced properties. We compare and assess several existing iterative solvers with respect to…

Computational Engineering, Finance, and Science · Computer Science 2026-01-26 Zachary J. Wegert , Anthony P. Roberts , Vivien J. Challis

This paper proposes a computational framework for the design optimization of stable structures under large deformations by incorporating nonlinear buckling constraints. A novel strategy for suppressing spurious buckling modes related to…

Computational Engineering, Finance, and Science · Computer Science 2023-06-07 Guodong Zhang , Kapil Khandelwal , Tong Guo

In this paper, we introduce a density-based topology optimization framework to design porous electrodes for maximum energy storage. We simulate the full cell with a model that incorporates electronic potential, ionic potential, and…

A two phase elastic composite with weakly compressible elastic inclusions is considered. The homogenised two-scale limit problem is found, via a version of the method of two-scale convergence, and analysed. The microscopic part of the…

Mathematical Physics · Physics 2013-04-29 Shane Cooper

The unique conduction properties of condensed matter systems with topological order have recently inspired a quest for similar effects in classical wave phenomena. Acoustic topological insulators, in particular, hold the promise to…

Mesoscale and Nanoscale Physics · Physics 2016-07-13 Romain Fleury , Alex Khanikaev , Andrea Alu

This contribution investigates the extension of the microplane formulation to the description of transversely isotropic materials such as shale rock, foams, unidirectional composites, and ceramics. Two possible approaches are considered: 1)…

Materials Science · Physics 2017-12-07 Congrui Jin , Marco Salviato , Weixin Li , Gianluca Cusatis

Soft acoustic metamaterials utilizing mesoporous structures have recently been proposed as a novel means for tuning the overall effective properties of the metamaterial and providing better coupling to the surrounding air. In this work, the…

Periodic structures can be engineered to exhibit unique properties observed at symmetry points, such as zero group velocity, Dirac cones and saddle points; identifying these, and the nature of the associated modes, from a direct reading of…

Increasing the light scattering efficiency of nanostructured materials is becoming an active field of research both in fundamental science and commercial applications. In this context, the challenge is to use inexpensive organic materials…

Recently, an increasing research effort has been dedicated to analyse the transmission and dispersion properties of periodic acoustic metamaterials, characterized by the presence of local resonators. Within this context, particular…

Computational Physics · Physics 2019-08-29 Andrea Bacigalupo , Giorgio Gnecco , Marco Lepidi , Luigi Gambarotta

Acoustic transparency is the capability of a medium to transmit mechanical waves to adjacent media, without scattering. This characteristic can be achieved by carefully engineering the acoustic impedance of the medium -- a combination of…

Applied Physics · Physics 2021-06-22 Sai Sharan Injeti , Paolo Celli , Kaushik Bhattacharya , Chiara Daraio

This paper considers the design of structures made of engineered materials, accounting for uncertainty in material properties. We present a topology optimization approach that optimizes the structural shape and topology at the macroscale…

Optimization and Control · Mathematics 2021-10-27 Subhayan De , Kurt Maute , Alireza Doostan
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