Article
Computer Science, Interdisciplinary Applications
Martin Noack, Arnold Kuhhorn, Markus Kober, Matthias Firl
Summary: This paper presents a new finite element-based stress-related topology optimization approach for finding bending governed flexible designs. Elements are evaluated based on their stress state using principal stresses at Gauss points, preferring those experiencing bending or shear load over membrane stresses. The developed sensitivity-based algorithm successfully finds usable flexible design concepts with nearly discrete 0-1 density distribution in academic examples.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2021)
Article
Engineering, Multidisciplinary
Elnaz Hadjiloo, Stefanie Knutz, Juergen Grabe
Summary: This article presents the use of the TOSS algorithm for the design of a strip foundation, optimizing its deformation behavior and stress distribution. The algorithm shows great potential for material savings and reducing CO2 emissions. The method also has the positive effect of reducing stress peaks and improving the durability of the foundation.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
(2023)
Article
Computer Science, Interdisciplinary Applications
Ce Liu, Baotong Li, Zhenhong Chai, Qingfang Liu, Qi Lu, Jian Deng, Jun Hong
Summary: In this article, a design problem of flow distribution structure in nuclear reactor pressure vessel is addressed within the meshless topology optimization framework. A novel meshless particle method, NURBS-based particle hydrodynamics (NBPH) method, is proposed and a meshless CFD computational model based on NBPH is presented. The results show that the proposed method can achieve high accuracy and computational efficiency. A unique NBPH-TO structure design platform is constructed by coupling the NBPH method with the solid isotropic material with penalization (SIMP) method, and its effectiveness and robustness are demonstrated through two design cases with opposite flow distribution objectives. This research provides a viable solution and tool for designing structures within nuclear reactor pressure vessels.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2023)
Article
Computer Science, Interdisciplinary Applications
Gonzalo Mejias, Tomas Zegard
Summary: This study aims to combine the density-based methods for topology optimization in continuum structures with the (quasi-) optimal discrete element structures, including nonlinear constitutive models. This combined approach can be applied to various problems such as reinforced concrete, reinforced masonry, and fiber-reinforced materials. It breaks down the barrier between the two fields and addresses mathematical and numerical challenges for simultaneous optimization.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2023)
Article
Computer Science, Interdisciplinary Applications
Xuan Wang, Hongliang Liu, Zhan Kang, Kai Long, Zeng Meng
Summary: This study tackles the minimum stress design problem in continuum structures with movable holes for the first time, proposing an effective hybrid methodology that optimizes material density and geometric parameters as design variables. By mapping embedded holes to a density field and introducing a new material interpolation scheme, the optimization model successfully minimizes stress in the system.
COMPUTERS & STRUCTURES
(2021)
Article
Computer Science, Interdisciplinary Applications
Benliang Zhu, Xianmin Zhang, Hai Li, Junwen Liang, Rixin Wang, Hao Li, Shinji Nishiwaki
Summary: The study introduces an 89-line code for nonlinear topology optimization, utilizing the SIMP method and FreeFEM. With only 76 lines needed for initialization, analysis, sensitivity calculation, and variable update, the program can solve various design problems by modifying a few lines.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2021)
Article
Engineering, Civil
Subhajit Sanfui, Deepak Sharma
Summary: This paper presents a new mesh reduction strategy on GPU to reduce the computational complexity of conventional structural topology optimization. The strategy reduces the number of design variables by using active nodes and elements in the finite element mesh. A novel mesh numbering scheme and a GPU-based algorithm are introduced for parallel identification of active nodes. Results show up to 8x speedup over standard GPU implementation.
Article
Chemistry, Multidisciplinary
Helio Luiz Simonetti, Valerio S. Almeida, Francisco de Assis das Neves, Virgil Del Duca Almeida, Marlan D. S. Cutrim
Summary: This article investigates the application of evolutionary methods, such as Smoothing Evolutionary Structural Optimization (SESO), Sequential Element Rejection and Admission (SERA), and Evolutionary Structural Optimization (ESO), in the topology optimization of 3D elasticity problems. These methods were implemented in MATLAB code using the eight-node hexahedral finite element formulation in three-dimensional elastostatic structures. Numerical examples were used to demonstrate the effectiveness of these methods in minimizing compliance. Additionally, a brief study on flexible mechanisms was conducted to highlight the impact of mechanical and geometrical advantages on the performance of compliant mechanisms, which is the main focus of this article. The proposed methods were compared with Solid Isotropic Material with Penalization (SIMP) models to showcase their advantages.
APPLIED SCIENCES-BASEL
(2023)
Article
Computer Science, Interdisciplinary Applications
Meral Tuna, Patrizia Trovalusci
Summary: The main objective of this work is to extend finite element-based topology optimization problem to two-dimensional, size-dependent structures described using weakly non-local Cosserat and strongly non-local Eringen theories. Optimum material layouts are achieved using Solid Isotropic Material with Penalization approach, while desired smooth and mesh-independent solutions are obtained using density filter and Heaviside projection method. The algorithms are enhanced with element removal and reintroduction strategy to reduce computational cost and prevent excessive distortion. By validating the code and studying example problems, the influence of internal length scales and different non-locality mechanisms on final configurations is demonstrated. The obtained macro-scale optimum topologies exhibit characteristics of corresponding continuum theories and align with mechanical responses at micro/nanoscale governed by particle interactions.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2022)
Article
Computer Science, Interdisciplinary Applications
Otavio Augusto Alves da Silveira, Lucas Farias Palma
Summary: This paper proposes modified material and cost models for ordered solid isotropic material with penalization (SIMP) interpolation, addressing the unusual behavior observed when using the original material model equations. The new ordered SIMP presents the desired interpolation characteristics and is suitable for non-monotonic properties, using density filtering and threshold projection to remove checkerboard patterns and reduce the presence of intermediate densities. A comparative analysis of the original interpolation with the modified one is conducted through various numerical examples, identifying some issues related to the filtering techniques and boundary effects on an ordered SIMP.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2022)
Article
Engineering, Multidisciplinary
Yi Wu, Julien Yvonnet, Pengfei Li, Zhi-Cheng He
Summary: This paper proposes a topology optimization framework to improve the dynamic fracture resistance of structures. By combining the phase field method for fracture with Solid Isotropic Material with Penalization (SIMP) topology optimization, the fracture energy is minimized during the entire dynamic loading process, reducing the risk of fracture for the structure.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2022)
Article
Mechanics
Masatoshi Shimoda, Motoki Umemura, Musaddiq Al Ali, Ryosuke Tsukihara
Summary: In this study, a novel non-parametric shape-topology optimization method is proposed for controlling the stiffness of CFRP shell structures. The method combines shape and topology optimization based on the variational method, and the shape and density gradient functions are derived using the Lagrange multiplier method, material derivative method, and adjoint variable method. The SIMP method is employed for topology optimization. Numerical examples are presented to demonstrate the validity of the proposed method.
COMPOSITE STRUCTURES
(2023)
Article
Materials Science, Multidisciplinary
Ali Radhi, Vincent Iacobellis, Kamran Behdinan
Summary: This paper presents a combined approach of topology optimization and graphic statics for generating lightweight structures and meeting predefined structural/load constraints. By coupling these two methods, it is possible to manipulate structures without breaking the global equilibrium state. Optimized structures demonstrate uniform load distribution and reduced member loads.
MATERIALS & DESIGN
(2021)
Article
Mechanics
Ali Radhi, Vincent Iacobellis, Kamran Behdinan
Summary: Additive Manufacturing (AM) is a disruptive production and prototyping technology, and topology optimization can generate complex structure designs suitable for AM. However, AM has its own limitations and stress factors, which, when not considered, require postprocessing and reduce the performance of optimized structures. Therefore, a stress-based optimization framework for AM is proposed to ensure designs meet the geometric constraints of AM.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2023)
Article
Computer Science, Interdisciplinary Applications
Chao Wang, E. L. Zhou, Yi Wu, Eric Li, Y. Y. Huang
Summary: We study topology optimization of elastodynamic structures under impact loading with transient stress constraints. Instead of using time-dependent prescribed traction force, we model the impact problem by applying a prescribed loading rate directly on the boundary over time. This approach enables us to optimize the impacted structures with strong acyclic and transient characteristics. We minimize the volume fraction of the structure while constraining the maximum transient von Mises stress. The effectiveness of the proposed method is demonstrated through benchmark problems, and the importance of considering transient behavior in the topology optimization of impacted structures is highlighted by the evolution of the maximum stress.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2023)
Review
Computer Science, Software Engineering
Xiaoqun Dai, Yan Hong
Summary: The primary objective of this research is to enhance the understanding of fabric mechanical behaviors, measurement techniques, and parameters essential for cloth simulation. The findings and information presented herein can be effectively utilized to enhance the precision and fidelity of apparel CAD systems, thereby facilitating advancements in virtual garment design and production.
COMPUTER-AIDED DESIGN
(2024)
Article
Computer Science, Software Engineering
Zhen-Pei Wang, Brian N. Cox, Shemuel Joash Kuehsamy, Mark Hyunpong Jhon, Olivier Sudre, N. Sridhar, Gareth J. Conduit
Summary: Three-dimensional non-periodic woven composite preforms have great design flexibility, but the design space is too large. This paper proposes a Background Vector Method (BVM) for generating candidate designs that can adapt to local architecture and global design goals while ensuring fabricability. Examples are provided to illustrate the design scope and speed of the BVM, as well as pathways for incorporating it into optimization algorithms.
COMPUTER-AIDED DESIGN
(2024)
Article
Computer Science, Software Engineering
Mohammad Mahdi Behzadi, Jiangce Chen, Horea T. Ilies
Summary: This paper proposes an approach to enhance the topological accuracy of machine learning-based topology optimization methods. The approach utilizes a predicted dual connectivity graph to improve the connectivity of the predicted designs. Experimental results show that the proposed method significantly improves the connectivity of the final predicted structures.
COMPUTER-AIDED DESIGN
(2024)
Article
Computer Science, Software Engineering
Jiaze Li, Shengfa Wang, Eric Paquette
Summary: In this study, a texture-driven adaptive mesh refinement method is proposed to generate high-quality 3D reliefs. By conducting feature-preserving adaptive sampling of the texture contours and using constraint-driven and feature-adaptive mesh subdivision, the method is able to accurately follow the texture contours and maintain good polygon quality.
COMPUTER-AIDED DESIGN
(2024)
Article
Computer Science, Software Engineering
Xi Zou, Sui Bun Lo, Ruben Sevilla, Oubay Hassan, Kenneth Morgan
Summary: This work presents a new method for generating triangular surface meshes in three dimensions for the NURBS-enhanced finite element method. The method allows for triangular elements that span across multiple NURBS surfaces, while maintaining the exact representation of the CAD geometry. This eliminates the need for de-featuring complex watertight CAD models and ensures compliance with user-specified spacing function requirements.
COMPUTER-AIDED DESIGN
(2024)
Article
Computer Science, Software Engineering
Ulderico Fugacci, Chiara Romanengo, Bianca Falcidieno, Silvia Biasotti
Summary: This paper proposes a method for suitably resampling a 3D point cloud while preserving the feature curves to which some points belong. The method enriches the cloud by approximating curvilinear profiles and allows for point removal or insertion without affecting the approximated profiles. The effectiveness of the method is evaluated through experiments and comparisons.
COMPUTER-AIDED DESIGN
(2024)
Article
Computer Science, Software Engineering
J. Hinz, O. Chanon, A. Arrigoni, A. Buffa
Summary: The objective of this study is to address the difficulty of simplifying a geometric model while maintaining the accuracy of the solution. A goal-oriented adaptive strategy is proposed to reintroduce geometric features in regions with significant impact on the quantity of interest. This approach enables faster and more efficient simulations.
COMPUTER-AIDED DESIGN
(2024)
Article
Computer Science, Software Engineering
Hao Qiu, Yixiong Feng, Yicong Gao, Zhaoxi Hong, Jianrong Tan
Summary: Sandwich panels with excellent mechanical properties are widely used, and kirigami-inspired structural designs are receiving increasing attention. In this study, novel graded self-locking kirigami panels based on a tucked-interleaved pattern are developed and analyzed. The experimental and simulation results demonstrate that the proposed kirigami panels have outstanding load-to-weight ratios and can generate graded stiffness and superior specific energy absorption.
COMPUTER-AIDED DESIGN
(2024)
Article
Computer Science, Software Engineering
Zheng Zhan, Wenping Wang, Falai Chen
Summary: This article proposes a learning based method using a deep neural network to simultaneously parameterize the boundary and interior of a computational domain. The method achieves robust parameterization by optimizing a loss function and fitting a tensor-product B-spline function. Experimental results demonstrate that the proposed approach yields parameterization results with lower distortion and higher bijectivity ratio.
COMPUTER-AIDED DESIGN
(2024)