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We introduce the isogeometric shape optimisation of thin shell structures using subdivision surfaces. Both triangular Loop and quadrilateral Catmull-Clark subdivision schemes are considered for geometry modelling and finite element…

Numerical Analysis · Mathematics 2019-05-21 Kosala Bandara , Fehmi Cirak

This paper presents an end-to-end framework for robust structure/control optimization of an industrial benchmark. When dealing with space structures, a reduction of the spacecraft mass is paramount to minimize the mission cost and maximize…

Systems and Control · Electrical Eng. & Systems 2023-11-28 Francesco Sanfedino , Daniel Alazard , Andy Kiley , Mark Watt , Pedro Simplicio , Finn Ankersen

Gradient porous structured materials possess significant potential of being applied in many engineering fields. To accelerate the design process of infill graded microstructures, a novel asymptotic homogenisation topology optimisation…

Computational Engineering, Finance, and Science · Computer Science 2019-12-18 Dingchuan Xue , Yichao Zhu , Shaoshuai Li , Chang Liu , Weisheng Zhang , Xu Guo

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

Topology optimization enables the design of highly efficient and complex structures, but conventional iterative methods, such as SIMP-based approaches, often suffer from high computational costs and sensitivity to initial conditions.…

Computational Engineering, Finance, and Science · Computer Science 2025-09-18 Aaron Lutheran , Srijan Das , Alireza Tabarraei

We propose a new hybrid topology optimization algorithm based on multigrid approach that combines the parallelization strategy of CPU using OpenMP and heavily multithreading capabilities of modern Graphics Processing Units (GPU). In…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-02-01 Arya Prakash Padhi , Souvik Chakraborty , Anupam Chakrabarti , Rajib Chowdhury

Lattice-like structures can provide a combination of high stiffness with light weight that is useful in many applications, but a resolved finite element mesh of such structures results in a computationally expensive discretization. This…

Numerical Analysis · Mathematics 2022-09-07 Sean McBane , Youngsoo Choi , Karen Willcox

The interaction between thin structures and incompressible Newtonian fluids is ubiquitous both in nature and in industrial applications. In this paper we present an isogeometric formulation of such problems which exploits a boundary…

Numerical Analysis · Mathematics 2017-02-17 Luca Heltai , Josef Kiendl , Antonio DeSimone , Alessandro Reali

Artificially designed composite materials consist of microstructures, that exhibit various thermal properties depending on their shapes, such as anisotropic thermal conductivity. One of the representative applications of such composite…

Computational Engineering, Finance, and Science · Computer Science 2023-02-27 Makoto Nakagawa , Yuki Noguchi , Kei Matsushima , Takayuki Yamada

This article combines shape optimization and homogenization techniques by looking for the optimal design of the microstructure in composite materials and of scaffolds. The development of materials with specific properties is of huge…

Optimization and Control · Mathematics 2019-07-16 Marc Dambrine , Helmut Harbrecht

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…

Materials Science · Physics 2024-08-28 Harikrishnan Vijayakumaran , Jonathan B. Russ , Glaucio H. Paulino , Miguel A. Bessa

Topology optimization methods face serious challenges when applied to structural design with fluid-structure interaction (FSI) loads, specially for high Reynolds fluid flow. This paper devises an explicit boundary method that employs…

In the paper, combinatorial synthesis of structure for applied Web-based systems is described. The problem is considered as a combination of selected design alternatives for system parts/components into a resultant composite decision (i.e.,…

Software Engineering · Computer Science 2011-09-05 Mark Sh. Levin

This paper presents a new text-guided technique for generating 3D shapes. The technique leverages a hybrid 3D shape representation, namely EXIM, combining the strengths of explicit and implicit representations. Specifically, the explicit…

Computer Vision and Pattern Recognition · Computer Science 2023-12-01 Zhengzhe Liu , Jingyu Hu , Ka-Hei Hui , Xiaojuan Qi , Daniel Cohen-Or , Chi-Wing Fu

Hierarchically designed mechanical metamaterials involve nested levels of structural organization, mimicking natural structures (such as bones, wood, and bird feathers) to create advanced functional materials. Compositional hierarchy, a…

Soft Condensed Matter · Physics 2026-05-21 Shammo Dutta , Girish Krishnan , Sree Kalyan Patiballa

As the capabilities of additive manufacturing techniques increase, topology optimization provides a promising approach to design geometrically sophisticated structures which can be directly manufactured. Traditional topology optimization…

Optimization and Control · Mathematics 2014-01-28 Carlos H. Villanueva , Kurt Maute

The main purpose of this paper is to give a topological and symplectic classification of completely integrable Hamiltonian systems in terms of characteristic classes and other local and global invariants.

Differential Geometry · Mathematics 2007-05-23 Nguyen Tien Zung

During design optimization, a smooth description of the geometry is important, especially for problems that are sensitive to the way interfaces are resolved, e.g., wave propagation or fluid-structure interaction. A levelset description of…

Computational Engineering, Finance, and Science · Computer Science 2021-12-28 Sanne J. van den Boom , Jian Zhang , Fred van Keulen , Alejandro M. Aragón

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

We present ImplicitSLIM, a novel unsupervised learning approach for sparse high-dimensional data, with applications to collaborative filtering. Sparse linear methods (SLIM) and their variations show outstanding performance, but they are…

Information Retrieval · Computer Science 2024-06-04 Ilya Shenbin , Sergey Nikolenko