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An extremal model for the plasticity of amorphous materials is studied in a simple two-dimensional anti-plane geometry. The steady-state is analyzed through numerical simulations. Long-range spatial and temporal correlations in local slip…

Disordered Systems and Neural Networks · Physics 2009-11-07 Jean-Christophe Baret , Damien Vandembroucq , Stephane Roux

Many biological and engineering materials have nonperiodic microstructures for which classical periodic homogenization results do not apply. Certain nonperiodic microstructures may be approximated by locally periodic microstructures for…

Analysis of PDEs · Mathematics 2016-06-13 Brian Seguin

Compared with traditional design methods, generative design significantly attracts engineers in various disciplines. In thiswork, howto achieve the real-time generative design of optimized structures with various diversities and…

Computational Engineering, Finance, and Science · Computer Science 2024-01-23 Zongliang Du , Xinyu Ma , Wenyu Hao , Yuan Liang , Xiaoyu Zhang , Hongzhi Luo , Xu Guo

Numerically simulating deformations in thin elastic sheets is a challenging problem in computational mechanics due to destabilizing compressive stresses that result in wrinkling. Determining the location, structure, and evolution of…

Materials Science · Physics 2014-11-26 Michael Taylor , Benny Davidovitch , Zhanlong Qiu , Katia Bertoldi

This paper proposes a model predictive controller for discrete-time linear systems with additive, possibly unbounded, stochastic disturbances and subject to chance constraints. By computing a polytopic probabilistic positively invariant set…

Optimization and Control · Mathematics 2024-09-23 Kai Wang , Kiet Tuan Hoang , Sébastien Gros

This paper introduces a new nonlinear topology optimization framework which employs porohyperelasticity for providing computational design of pneumatic soft actuators. Density-based topology optimization is used with the objective of…

Soft Condensed Matter · Physics 2025-05-15 Sumit Mehta , Konstantinos Poulios

This paper proposes a self-support topology optimization method that considers distortion to improve the manufacturability of additive manufacturing. First, a self-support constraint is proposed that combines an overhang angle constraint…

Computational Engineering, Finance, and Science · Computer Science 2022-12-15 Takao Miki

In this paper, we study the possibility of designing non-trivial random CSP models by exploiting the intrinsic connection between structures and typical-case hardness. We show that constraint consistency, a notion that has been developed to…

Artificial Intelligence · Computer Science 2011-10-12 J. Culberson , Y. Gao

The mechanical properties of metallic nanostructures are governed not only by topology but also by crystal symmetry and face-specific surface physics, which are typically absent from continuum topology optimization. We develop an…

Applied Physics · Physics 2026-04-07 Chun-Teh Chen , Denvid Lau

Soft electronics have recently gathered considerable interest thanks to their bio-mechanical compatibility. An important feature of such deformable conductors is their electrical response to strain. While development of stretchable…

Soft Condensed Matter · Physics 2025-11-14 Louis Martin-Monier , Pierre-Luc Piveteau , Fabien Sorin

Stress-stress correlations in crystalline solids with long-range order can be straightforwardly derived using elasticity theory. In contrast, the `emergent elasticity' of amorphous solids, rigid materials characterized by an underlying…

Soft Condensed Matter · Physics 2025-07-04 Jimin Bai , Long-Zhou Huang , Jin Shang , Yun-Jiang Wang , Jie Zhang , Matteo Baggioli

The area of topology optimization of continuum structures of which is allowed to change in order to improve the performance is now dominated by methods that employ the material distribution concept. The typical methods of the topology…

Computational Engineering, Finance, and Science · Computer Science 2013-09-24 Jun-ichi Koga , Jiro Koga , Shunji Homma

The production of concrete generates roughly 8% of anthropogenic CO2 globally, largely because of the massive quantities that are manufactured. New design methods must be developed and deployed to improve the material efficiency of…

Computational Engineering, Finance, and Science · Computer Science 2026-04-27 Jackson L. Jewett , Josephine V. Carstensen

The conflict between stiffness and toughness is a fundamental problem in engineering materials design. However, the systematic discovery of microstructured composites with optimal stiffness-toughness trade-offs has never been demonstrated,…

Materials Science · Physics 2024-01-05 Beichen Li , Bolei Deng , Wan Shou , Tae-Hyun Oh , Yuanming Hu , Yiyue Luo , Liang Shi , Wojciech Matusik

We develop a density based topology optimization method for linear elasticity based on the cut finite element method. More precisely, the design domain is discretized using cut finite elements which allow complicated geometry to be…

Numerical Analysis · Mathematics 2019-03-19 Erik Burman , Daniel Elfverson , Peter Hansbo , Mats G. Larson , Karl Larsson

The design of adaptive structures is one method to improve sustainability of buildings. Adaptive structures are able to adapt to different loading and environmental conditions or to changing requirements by either small or large shape…

Computational Engineering, Finance, and Science · Computer Science 2020-12-08 Renate Sachse , Florian Geiger , Manfred Bischoff

We aim to solve a topology optimization problem where the distribution of material in the design domain is represented by a density function. To obtain candidates for local minima, we want to solve the first order optimality system via…

Optimization and Control · Mathematics 2026-01-08 P. Gangl , M. Winkler

A computationally efficient method is presented for approximate optimization of cutting pattern of frame-supported and pneumatic membrane structures. The plane cutting sheet is generated by minimizing the error from the shape obtained by…

Optimization and Control · Mathematics 2017-12-14 Makoto Ohsaki , Jun Fujiwara , Fumiyoshi Takeda

In the present paper a plastic-damage model for concrete is discussed. Based on the fact that for isotropic materials the elastic trial stress and the projected plastic stress states have the same eigenvec-tors, the loading surface is…

Materials Science · Physics 2007-05-23 Sergey Ananiev , Josko Ozbolt

Purpose: This is an attempt to better bridge the gap between the mathematical and the engineering/physical aspects of the topic. We trace the different sources of non-convexification in the context of topology optimization problems starting…

Optimization and Control · Mathematics 2022-06-08 Mohamed Abdelhamid , Aleksander Czekanski
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