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Fine scale elastic structures are widespread in nature, for instances in plants or bones, whenever stiffness and low weight are required. These patterns frequently refine towards a Dirichlet boundary to ensure an effective load transfer.…

Numerical Analysis · Mathematics 2017-11-13 Nora Lüthen , Martin Rumpf , Sascha Tölkes , Orestis Vantzos

Recently, a class of mechanical lattices with reconfigurable, zero-stiffness structures has been proposed, called Totimorphic lattices. In this work, we introduce a computational framework that enables continuous reprogramming of a…

Instrumentation and Methods for Astrophysics · Physics 2026-03-16 Dominik Dold , Amy Thomas , Nicole Rosi , Jai Grover , Dario Izzo

Structure optimization, which yields the relaxed structure (minimum-energy state), is essential for reliable materials property calculations, yet traditional ab initio approaches such as density-functional theory (DFT) are computationally…

Materials Science · Physics 2025-11-18 Ziduo Yang , Yi-Ming Zhao , Xian Wang , Wei Zhuo , Xiaoqing Liu , Lei Shen

The enhanced continualization approach proposed in this paper is aimed to overcome some drawbacks observed in the homogenization of beam lattices. To this end an enhanced homogenization technique is proposed and formulated to obtain…

Computational Physics · Physics 2019-02-15 Andrea Bacigalupo , Luigi Gambarotta

In a multi-task learning (MTL) setting, a single model is trained to tackle a diverse set of tasks jointly. Despite rapid progress in the field, MTL remains challenging due to optimization issues such as conflicting and dominating…

Computer Vision and Pattern Recognition · Computer Science 2023-05-31 Dmitry Senushkin , Nikolay Patakin , Arseny Kuznetsov , Anton Konushin

We propose a new algorithm for the solution of the robust multiple-load topology optimization problem. The algorithm can be applied to any type of problem, e.g., truss topology, variable thickness sheet or free material optimization. We…

Optimization and Control · Mathematics 2013-07-30 Michal Kocvara

In this paper, we present a family of new mixed finite element methods for linear elasticity for both spatial dimensions $n=2,3$, which yields a conforming and strongly symmetric approximation for stress. Applying…

Numerical Analysis · Mathematics 2017-04-26 Shihua Gong , Shuonan Wu , Jinchao Xu

In this paper, we propose a level set-based topology optimization method for the unit-cell design of acoustic metasurfaces by using a two-scale homogenization method. Based on previous works, we first propose a homogenization method for…

Computational Engineering, Finance, and Science · Computer Science 2021-06-23 Yuki Noguchi , Takayuki Yamada

This paper presents a Material Mask Overlay topology optimization approach with the improved material assignment at the element level for achieving the desired discreteness of the optimized designs for pressure-loaded problems. Hexagonal…

Computational Engineering, Finance, and Science · Computer Science 2022-10-17 Prabhat Kumar , Anupam Saxena

The paper presents a topology optimization approach that designs an optimal structure, called a self-supporting structure, which is ready to be fabricated via additive manufacturing without the usage of additional support structures. Such…

Computational Engineering, Finance, and Science · Computer Science 2017-08-25 Dengyang Zhao , Ming Li , Yusheng Liu

We present a fundamentally different approach to orthogonal layout of data flow diagrams with ports. This is based on extending constrained stress majorization to cater for ports and flow layout. Because we are minimizing stress we are able…

Other Computer Science · Computer Science 2014-08-21 Ulf Rüegg , Steve Kieffer , Tim Dwyer , Kim Marriott , Michael Wybrow

It is nowadays widely acknowledged that optimal structural design should be robust with respect to the uncertainties in loads and material parameters. However, there are several alternatives to consider such uncertainties in structural…

Computational Engineering, Finance, and Science · Computer Science 2022-01-26 Gustavo Assis da Silva , Eduardo Lenz Cardoso , Andre T. Beck

The paper establishes exact lower bound on the effective elastic energy of two-dimensional, three-material composite subjected to the homogeneous, anisotropic stress. It is assumed that the materials are mixed with given volume fractions…

Mathematical Physics · Physics 2014-01-29 Andrej Cherkaev , Grzegorz Dzierzanowski

Inclusion of contact in mechanical designs opens a large range of design possibilities, this includes classical designs with contact, such as gears, couplings, switches, clamps etc. However, incorporation of contact in topology optimization…

Computational Engineering, Finance, and Science · Computer Science 2023-05-12 Andreas Henrik Frederiksen , Ole Sigmund , Konstantinos Poulios

Crystal structure optimization is fundamental to materials modeling but remains computationally expensive when performed with density-functional theory (DFT). Machine-learning (ML) approaches offer substantial acceleration, yet existing…

Materials Science · Physics 2026-03-26 Ziduo Yang , Wei Zhuo , Huiqiang Xie , Xiaoqing Liu , Lei Shen

Surrogate models are essential in structural analysis and optimization. We propose a heterogeneous graph representation of stiffened panels that accounts for geometrical variability, non-uniform boundary conditions, and diverse loading…

Computational Engineering, Finance, and Science · Computer Science 2026-01-12 Yuecheng Cai , Jasmin Jelovica

In a topology optimization setting, design-dependent fluidic pressure loads pose several challenges as their direction, magnitude, and location alter with topology evolution. This paper offers a compact 100-line MATLAB code, TOPress, for…

Mathematical Software · Computer Science 2024-01-09 Prabhat Kumar

Lattice-skin structures composed of a thin-shell skin and a lattice infill are widespread in nature and large-scale engineering due to their efficiency and exceptional mechanical properties. Recent advances in additive manufacturing, or 3D…

Numerical Analysis · Mathematics 2022-06-20 Xiao Xiao , Fehmi Cirak

Architecting mechanisms of damage in metamaterials by leveraging lattice topology and geometry poses a vital yet complex challenge, essential for engineering desirable mechanical responses. Of these metamaterials, Maxwell lattices, which…

Soft Condensed Matter · Physics 2025-08-26 Leo de Waal , Matthaios Chouzouris , Marcelo A. Dias

Orthogonally assembled double-layered corrugated (OADLC) mechanisms are a class of foldable structures that harness origami-inspired methods to enhance the structural stiffness of resulting devices; these mechanisms have extensive…

Robotics · Computer Science 2020-11-11 Chang Liu , Wenzhong Yan , Ankur Mehta
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