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Additive manufacturing methods together with topology optimization have enabled the creation of multiscale structures with controlled spatially-varying material microstructure. However, topology optimization or inverse design of such…

High-throughput characterization of architected materials across a wide range of length scales enables rapid screening of topologies for engineering applications. Scaled-down specimens manufactured and evaluated in laboratory environments…

材料科学 · 物理学 2026-05-05 Vatsa Gandhi , Rishi Kommalapati , Carlos M. Portela , Vikram Deshpande

A hybrid framework integrating the Virtual Element Method (VEM) with deep learning is presented as an initial step toward developing efficient and flexible numerical models for one-dimensional Euler-Bernoulli beams. The primary aim is to…

机器学习 · 计算机科学 2025-01-14 Paulo Akira F. Enabe , Rodrigo Provasi

The rheology of biological tissues is important for their function, and we would like to better understand how single cells control global tissue properties such as tissue fluidity. A confluent tissue can fluidize when cells diffuse by…

软凝聚态物质 · 物理学 2019-05-31 Preeti Sahu , Janice Kang , Gonca Erdemci-Tandogan , M. Lisa Manning

The process of structural relaxation in disordered solids subjected to repeated tension-compression loading is studied using molecular dynamics simulations. The binary glass is prepared by rapid cooling well below the glass transition…

软凝聚态物质 · 物理学 2020-05-04 Pritam Kumar Jana , Nikolai V. Priezjev

We detail the application of bounding volume hierarchies to accelerate second-virial evaluations for arbitrary complex particles interacting through hard and soft finite-range potentials. This procedure, based on the construction of…

软凝聚态物质 · 物理学 2017-12-14 Maxime M. C. Tortora , Jonathan P. K. Doye

We propose a two-scale finite element method designed for heterogeneous microstructures. Our approach exploits domain diffeomorphisms between the microscopic structures to gain computational efficiency. By using a conveniently constructed…

数值分析 · 数学 2024-10-24 Omar Richardson , Omar Lakkis , Adrian Muntean , Chandrasekhar Venkataraman

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…

计算工程、金融与科学 · 计算机科学 2023-05-01 Christoffer Fyllgraf Christensen , Fengwen Wang , Ole Sigmund

Topologically interlocked materials and structures, which are assemblies of unbonded interlocking building blocks, are promising concepts for versatile structural applications. They have been shown to exhibit exceptional mechanical…

数值分析 · 数学 2023-05-24 Ioannis Koureas , Mohit Pundir , Shai Feldfogel , David S. Kammer

Designing strong and robust bio-inspired structures requires an understanding of how function arises from the architecture and geometry of materials found in nature. We draw from trabecular bone, a lightweight bone tissue that exhibits a…

生物物理 · 物理学 2019-10-09 Chantal Nguyen , Darin Peetz , Ahmed E. Elbanna , Jean M. Carlson

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

We consider a class of models motivated by previous numerical studies of wrinkling in highly stretched, thin rectangular elastomer sheets. The model used is characterized by a finite-strain hyperelastic membrane energy perturbed by small…

偏微分方程分析 · 数学 2023-09-06 Timothy J. Healey

As inelastic design for wind is embraced by the engineering community, there is an increasing demand for computational tools that enable the investigation of the nonlinear behavior of wind-excited structures and subsequent development of…

计算工程、金融与科学 · 计算机科学 2022-07-29 Srinivasan Arunachalam , Seymour M. J. Spence

Empty space skipping can be efficiently implemented with hierarchical data structures such as k-d trees and bounding volume hierarchies. This paper compares several recently published hierarchical data structures with regard to construction…

图形学 · 计算机科学 2019-12-23 Stefan Zellmann

We investigate the weakening of elastic materials through randomly distributed circles and cracks numerically and compare the results to predictions from homogenization theories. We find a good agreement for the case of randomly oriented…

材料科学 · 物理学 2015-05-13 Robert Spatschek , Clemens Gugenberger , Efim Brener

A dimensionless parameter $\Lambda$ is proposed to describe a hierarchy of morphologies in two-dimensional (2D) aggregates formed due to varying competition between short-range attraction and long-range repul- sion. Structural transitions…

软凝聚态物质 · 物理学 2015-06-19 Tamoghna Das , T. Lookman , M. M. Bandi

We elucidate the molecular forces leading to assembly of two dimensional membrane-like structures composed of a one rod-length thick monolayer of aligned rods from an immiscible suspension of hard rods and depleting polymers. We perform…

软凝聚态物质 · 物理学 2011-03-15 Yasheng Yang , Edward Barry , Zvonimir Dogic , Michael F. Hagan

In the context of finite elasticity, we propose plate models describing the spontaneous bending of nematic elastomer thin films due to variations along the thickness of the nematic order parameters. Reduced energy functionals are deduced…

偏微分方程分析 · 数学 2017-02-03 Virginia Agostiniani , Antonio DeSimone

The design of specified nonlinear mechanical responses into a structure or material is a highly sought after capability, which would have a significant impact in areas such as wave tailoring in metamaterials, impact mitigation, soft…

In this contribution, we investigate the fundamental mechanism of plasticity in a model two-dimensional network glass. The glass is generated by using a Monte Carlo bond-switching algorithm and subjected to athermal simple shear…

材料科学 · 物理学 2020-09-30 Firaz Ebrahem , Franz Bamer , Bernd Markert