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Multiscale techniques have been widely shown to potentially overcome the limitation of homogenization schemes in representing the microscopic failure mechanisms in heterogeneous media as well as their influence on their structural response…

Numerical Analysis · Mathematics 2021-08-10 Fabrizio Greco , Lorenzo Leonetti , Paolo Lonetti , Raimondo Luciano , Andrea Pranno

Architected metamaterials such as foams and lattices exhibit a wide range of properties governed by microstructural instabilities and emerging phase transformations. Their macroscopic response--including energy dissipation during impact,…

This paper presents a computational framework for the robust stiffness design of hyperelastic structures at finite deformations subject to various uncertain sources. In particular, the loading, material properties, and geometry…

Computational Engineering, Finance, and Science · Computer Science 2025-01-28 Nan Feng , Guodong Zhang , Kapil Khandelwal

We study how crack buckling affects stress and strain in a thin sheet with random disorder. The sheet is modeled as an elastic lattice of beams where each of the beams have individual thresholds for breaking. A statistical distribution with…

Soft Condensed Matter · Physics 2007-05-23 Bjorn Skjetne , Torbjorn Helle , Alex Hansen

In this paper, we present a unit cell showing a band-gap in the lower acoustic domain. The corresponding metamaterial is made up of a periodic arrangement of this unit cell. We rigorously show that the relaxed micromorphic model can be used…

Applied Physics · Physics 2022-09-07 F. Demore , G. Rizzi , M. Collet , P. Neff , A. Madeo

Composite materials are used across engineering applications for their superior mechanical performance, a result of efficient load transfer between the structure and matrix phases. However, the inherently two-dimensional structure of…

Soft Condensed Matter · Physics 2026-04-21 Andrew Y. Chen , Carlos M. Portela

Concepts from quantum topological states of matter have been extensively utilized in the past decade in creating mechanical metamaterials with topologically protected features, such as one-way edge states and topologically polarized…

Applied Physics · Physics 2022-07-14 Haning Xiu , Harry Liu , Andrea Poli , Guangchao Wan , Ellen M. Arruda , Xiaoming Mao , Zi Chen

The staggered (or imbricated) lamellar "brick-and-mortar" nanostructure of nacre endows nacre with strength and fracture toughness values exceeding by an order of magnitude those of the constituents, and inspires the advent of new robust…

Applications · Statistics 2018-08-29 Wen Luo , Zdeněk P. Bažant

The exciting field of stretchable electronics (SE) promises numerous novel applications, particularly in-body and medical diagnostics devices. However, future advanced SE miniature devices will require high-density, extremely stretchable…

Instrumentation and Detectors · Physics 2017-09-14 Salman Shafqat , Johan P. M. Hoefnagels , Angel Savov , Shivani Joshi , Ronald Dekker , Marc G. D. Geers

An adjoint-based procedure to determine weaknesses, or, more generally the material properties of structures is developed and tested. Given a series of force and deformation/strain measurements, the material properties are obtained by…

Optimization and Control · Mathematics 2023-03-28 Facundo N. Airaudo , Rainald Löhner , Roland Wüchner , Harbir Antil

Development of lightweight materials with enhanced mechanical properties has been a long-standing challenge in science and engineering. Lightweight auxetic metastructures (AMSs) provide attractive solutions to this problem. AMSs' negative…

Applied Physics · Physics 2025-05-13 Ali Rahimi-Lenji , Mohammad Heidari-Rarani , Mohsen Mirkhalaf , Mohammad Mirkhalaf

Trusses are load-carrying light-weight structures consisting of bars connected at joints ubiquitously applied in a variety of engineering scenarios. Designing optimal trusses that satisfy functional specifications with a minimal amount of…

Graphics · Computer Science 2019-01-18 Caigui Jiang , Chengcheng Tang , Hans-Peter Seidel , Renjie Chen , Peter Wonka

Exotic behaviour of mechanical metamaterials often relies on an internal transformation of the underlying microstructure triggered by its local instabilities, rearrangements, and rotations. Depending on the presence and magnitude of such a…

Soft Condensed Matter · Physics 2020-04-16 Ondřej Rokoš , Jan Zeman , Martin Doškář , Petr Krysl

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

Current research on three-dimensional metamaterial has largely focused on conventional strut, plate, and shell-based lattice designs. Although these designs offer several advantages, they possess inherent limitations that can restrict their…

Computational Engineering, Finance, and Science · Computer Science 2026-03-12 Sahar Choukir , Nirosh Manohara , Chandra Veer Singh

Predicting the mechanics of large structural networks, such as beam-based architected materials, requires a multiscale computational strategy that preserves information about the discrete structure while being applicable to large assemblies…

Computational Engineering, Finance, and Science · Computer Science 2024-03-15 Kevin Kraschewski , Gregory P. Phlipot , Dennis M. Kochmann

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.…

Reinforced elastic sheets surround us in daily life, from concrete shell buildings to biological structures such as the arthropod exoskeleton or the venation network of dicotyledonous plant leaves. Natural structures are often highly…

Biological Physics · Physics 2021-01-27 Henrik Ronellenfitsch

The interplay between cytoskeletal architecture and the nonlinearity of the interactions due to bucklable filaments plays a key role in modulating the cell's mechanical stability and affecting its structural rearrangements. We study a model…

Statistical Mechanics · Physics 2011-07-01 Shenshen Wang , Tongye Shen , Peter G. Wolynes

We present a multi-phase design parameterization to obtain optimized heterogeneous lattice structures. The 3D domain is discretized into a cubical grid wherein each cube has eight distinct unit cell types or phases. When all phases are…

Materials Science · Physics 2021-03-04 Yash Agrawal , G. K. Ananthasuresh