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This paper studies the aeroelasticity of a stiffened cantilever plate using composite material and novel structural layouts. A comprehensive parametric study is conducted to determine the influence of different design parameters on the…

Fluid Dynamics · Physics 2023-11-03 Bara'ah Fraihat , Rafic Ajaj

In this work, we propose a fully coupled multiscale strategy for components made from short fiber reinforced composites, where each Gauss point of the macroscopic finite element model is equipped with a deep material network (DMN) which…

Computational Engineering, Finance, and Science · Computer Science 2021-09-24 Sebastian Gajek , Matti Schneider , Thomas Böhlke

A domain decomposition method for the solution of general variable-coefficient elliptic partial differential equations on regular domains is introduced. The method is based on tessellating the domain into overlapping thin slabs or shells,…

Numerical Analysis · Mathematics 2025-10-31 Simon Dirckx , Anna Yesypenko , Per-Gunnar Martinsson

This paper introduces a heuristic topology optimization framework for thin-walled, 2D extruded lattice structures subject to complex high-speed loading. The proposed framework optimizes the wall thickness distribution in the lattice cross…

Optimization and Control · Mathematics 2022-10-24 Junyan He , Shashank Kushwaha , Diab Abueidda , Iwona Jasiuk

In aerospace engineering, there is a growing demand for lightweight design through topology optimization. This paper presents a novel design optimization method for stiffened air rudders, commonly used for aircraft attitude control, based…

Optimization and Control · Mathematics 2024-01-18 Yibo Jia , Wen Meng , Zongliang Du , Chang Liu , Shanwei Li , Conglei Wang , Zhifu Ge , Ruiyi Su , Xu Guo

We present a novel kernel-based machine learning algorithm for identifying the low-dimensional geometry of the effective dynamics of high-dimensional multiscale stochastic systems. Recently, the authors developed a mathematical framework…

Dynamical Systems · Mathematics 2020-02-04 Andreas Bittracher , Stefan Klus , Boumediene Hamzi , Péter Koltai , Christof Schütte

A new approach for generating stress-constrained topological designs in continua is presented. The main novelty is in the use of elasto-plastic modeling and in optimizing the design such that it will exhibit a linear-elastic response. This…

Computational Engineering, Finance, and Science · Computer Science 2016-08-25 Oded Amir

Superomniphobic textures are at the frontier of surface design for vast arrays of applications. Despite recent significant advances in fabrication methods for reentrant and doubly reentrant microstructures, design optimisation remains a…

Soft Condensed Matter · Physics 2019-10-16 Jack Panter , Yonas Gizaw , Halim Kusumaatmaja

We present a geometric multilevel optimization approach that smoothly incorporates box constraints. Given a box constrained optimization problem, we consider a hierarchy of models with varying discretization levels. Finer models are…

Optimization and Control · Mathematics 2024-04-23 Sebastian Müller , Stefania Petra , Matthias Zisler

A topology optimization problem in a phase field setting is considered to obtain rigid structures, which are resilient to external forces and constructable with additive manufacturing. Hence, large deformations of overhangs due to gravity…

Optimization and Control · Mathematics 2026-02-24 Luise Blank , Maximilian Urmann

In this paper, the performance of different structural models based on global approach in evaluating the static response of curvilinear fibre composite laminates is analyzed. A Co shear flexible Quad-8 element developed based on…

Materials Science · Physics 2014-07-29 Anand Venkatachari , Sundararajan Natarajan , K Ramajeyathilagam , M Ganapathi

Man-made environments typically comprise planar structures that exhibit numerous geometric relationships, such as parallelism, coplanarity, and orthogonality. Making full use of these relationships can considerably improve the robustness of…

Computer Vision and Pattern Recognition · Computer Science 2019-05-21 Yangbin Lin , Jialian Li , Cheng Wang , Zhonggui Chen , Zongyue Wang , Jonathan Li

Multistage stochastic programming is a powerful tool allowing decision-makers to revise their decisions at each stage based on the realized uncertainty. However, in practice, organizations are not able to be fully flexible, as decisions…

Optimization and Control · Mathematics 2024-01-17 Sezen Ece Kayacık , Beste Basciftci , Albert H Schrotenboer , Evrim Ursavas

The principle of hierarchical design is a prominent theme in many natural systems where mechanical efficiency is of importance. Here we establish the properties of a particular hierarchical structure, showing that high mechanical efficiency…

Classical Physics · Physics 2013-12-18 Daniel Rayneau-Kirkhope , Yong Mao , Robert Farr

This paper studies two-stage distributionally robust conic linear programming under constraint uncertainty over type-1 Wasserstein balls. We present optimality conditions for the dual of the worst-case expectation problem, which…

Optimization and Control · Mathematics 2024-02-06 Geunyeong Byeon , Kaiwen Fang , Kibaek Kim

Honeycomb-like microstructures have been shown to exhibit local elastic buckling under compression, with three possible geometric buckling modes, or pattern transformations. The individual pattern transformations, and consequently also…

Soft Condensed Matter · Physics 2020-04-14 O. Rokoš , M. M. Ameen , R. H. J. Peerlings , M. G. D. Geers

In this work, we construct an effective continuum model for architected sheets that are composed of bulky tiles connected by slender elastic joints. Due to their mesostructure, these sheets feature quasi-mechanisms -- low-energy local…

Materials Science · Physics 2022-06-22 Connor McMahan , Andrew Akerson , Paolo Celli , Basile Audoly , Chiara Daraio

The paper describes multistage design of composite (modular) systems (i.e., design of a system trajectory). This design process consists of the following: (i) definition of a set of time/logical points; (ii) modular design of the system for…

Artificial Intelligence · Computer Science 2013-06-20 Mark Sh. Levin

The problem of decomposing non-manifold object has already been studied in solid modeling. However, the few proposed solutions are limited to the problem of decomposing solids described through their boundaries. In this thesis we study the…

Graphics · Computer Science 2019-04-03 Franco Morando

This paper presents a novel robust trajectory optimization method for constrained nonlinear dynamical systems subject to unknown bounded disturbances. In particular, we seek optimal control policies that remain robustly feasible with…

Systems and Control · Electrical Eng. & Systems 2025-04-08 Arshiya Taj Abdul , Augustinos D. Saravanos , Evangelos A. Theodorou