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Although various structural optimization techniques have a sound mathematical basis, the practical constructability of optimal designs poses a great challenge in the manufacturing stage. Currently, there is only a limited number of unified…

Numerical Analysis · Mathematics 2024-07-19 Lowhikan Sivanantha Sarma , Chinthaka Mallikarachchi , Sumudu Herath

Wide variety of engineering design tasks can be formulated as constrained optimization problems where the shape and topology of the domain are optimized to reduce costs while satisfying certain constraints. Several mathematical approaches…

Optimization and Control · Mathematics 2015-03-10 Igor Ostanin , Denis Zorin , Ivan Oseledets

In the present paper, an integrated paradigm for topology optimization on complex surfaces with arbitrary genus is proposed. The approach is constructed based on the two-dimensional (2D) Moving Morphable Component (MMC) framework, where a…

Optimization and Control · Mathematics 2022-02-03 Wendong Huo , Chang Liu , Zongliang Du , Xudong Jiang , Zhengyu Liu , Xu Guo

Topology optimization is computationally demanding that requires the assembly and solution to a finite element problem for each material distribution hypothesis. As a complementary alternative to the traditional physics-based topology…

Machine Learning · Computer Science 2018-08-23 Saurabh Banga , Harsh Gehani , Sanket Bhilare , Sagar Patel , Levent Kara

A surrogate-based topology optimisation algorithm for linear elastic structures under parametric loads and boundary conditions is proposed. Instead of learning the parametric solution of the state (and adjoint) problems or the optimisation…

Numerical Analysis · Mathematics 2025-11-04 Matteo Giacomini , Antonio Huerta

In traditional topology optimization, the computing time required to iteratively update the material distribution within a design domain strongly depends on the complexity or size of the problem, limiting its application in real engineering…

Computational Engineering, Finance, and Science · Computer Science 2024-05-14 Gabriel Garayalde , Matteo Torzoni , Matteo Bruggi , Alberto Corigliano

Presently, topology optimization requires multiple iterations to create an optimized structure for given conditions. Among the conditions for topology optimization,the design area is one of the most important for structural design. In this…

Computational Engineering, Finance, and Science · Computer Science 2020-04-21 Keigo Nakamura , Yoshiro Suzuki

Boundary representation (B-rep) of geometric models is a fundamental format in Computer-Aided Design (CAD). However, automatically generating valid and high-quality B-rep models remains challenging due to the complex interdependence between…

Computer Vision and Pattern Recognition · Computer Science 2025-03-18 Jing Li , Yihang Fu , Falai Chen

Designs generated by density-based topology optimization (TO) exhibit jagged and/or smeared boundaries, which forms an obstacle to their integration with existing CAD tools. Addressing this problem by smoothing or manual design adjustments…

Computational Engineering, Finance, and Science · Computer Science 2020-04-14 Marco K. Swierstra , Deepak K. Gupta , Matthijs Langelaar

An important new trend in additive manufacturing is the use of optimization to automatically design industrial objects, such as beams, rudders or wings. Topology optimization, as it is often called, computes the best configuration of…

Topology optimization has emerged as a popular approach to refine a component's design and increase its performance. However, current state-of-the-art topology optimization frameworks are compute-intensive, mainly due to multiple finite…

Machine Learning · Computer Science 2022-10-27 Jaydeep Rade , Aditya Balu , Ethan Herron , Jay Pathak , Rishikesh Ranade , Soumik Sarkar , Adarsh Krishnamurthy

A topology optimization method is presented for the design of periodic microstructured materials with prescribed homogenized nonlinear constitutive properties over finite strain ranges. The mechanical model assumes linear elastic isotropic…

Computational Engineering, Finance, and Science · Computer Science 2020-05-20 Reza Behrou , Maroun Abi Ghanem , Brianna C. Macnider , Vimarsh Verma , Ryan Alvey , Jinho Hong , Ashley F. Emery , Hyunsun Alicia Kim , Nicholas Boechler

While accurate and user-friendly Computer-Aided Design (CAD) is crucial for industrial design and manufacturing, existing methods still struggle to achieve this due to their over-simplified representations or architectures incapable of…

Computer Vision and Pattern Recognition · Computer Science 2025-08-07 Jianyu Wu , Yizhou Wang , Xiangyu Yue , Xinzhu Ma , Jingyang Guo , Dongzhan Zhou , Wanli Ouyang , Shixiang Tang

Parametric boundary representation models (B-Reps) are the de facto standard in CAD, graphics, and robotics, yet converting them into valid meshes remains fragile. The difficulty originates from the unavoidable approximation of high-order…

Graphics · Computer Science 2026-04-03 YunFan Zhou , Daniel Zint , Nafiseh Izadyar , Michael Tao , Daniele Panozzo , Teseo Schneider

High-quality quadrilateral mesh generation is a fundamental challenge in computer graphics. Traditional optimization-based methods are often constrained by the topological quality of input meshes and suffer from severe efficiency…

Graphics · Computer Science 2026-03-12 Yuguang Chen , Xinhai Liu , Xiangyu Zhu , Yiling Zhu , Zhuo Chen , Dongyu Zhang , Chunchao Guo

Despite the attention that the problem of path planning for tethered robots has garnered in the past few decades, the approaches proposed to solve it typically rely on a discrete representation of the configuration space and do not exploit…

Robotics · Computer Science 2025-12-09 Gianpietro Battocletti , Dimitris Boskos , Bart De Schutter

Topology design optimization offers tremendous opportunity in design and manufacturing freedoms by designing and producing a part from the ground-up without a meaningful initial design as required by conventional shape design optimization…

Machine Learning · Statistics 2019-01-10 Sharad Rawat , M. H. Herman Shen

Functionally Graded Materials (FGMs) made of soft constituents have emerged as promising material-structure systems in potential applications across many engineering disciplines, such as soft robots, actuators, energy harvesting, and tissue…

Computational Engineering, Finance, and Science · Computer Science 2025-07-01 Shiguang Deng , Horacio D. Espinosa , Wei Chen

Parametric optimization is an important product design technique, especially in the context of the modern parametric feature-based CAD paradigm. Realizing its full potential, however, requires a closed loop between CAD and CAE (i.e.,…

Computational Engineering, Finance, and Science · Computer Science 2023-03-28 Ming Li , Chengfeng Lin , Wei Chen , Yusheng Liu , Shuming Gao , Qiang Zou

Boundary Representation (B-Rep) is the widely adopted standard in Computer-Aided Design (CAD) and manufacturing. However, generative modeling of B-Reps remains a formidable challenge due to their inherent heterogeneity as geometric cell…

Computer Vision and Pattern Recognition · Computer Science 2026-01-27 Junran Lu , Yuanqi Li , Hengji Li , Jie Guo , Yanwen Guo
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