Article
Mechanics
Meng He, Xiaopeng Zhang, Lucas dos Santos Fernandez, Alexandre Molter, Liang Xia, Tielin Shi
Summary: This study proposes a multi-material topology optimization approach for the design of energy harvesting piezoelectric composite structures, aiming to increase energy conversion efficiency by simultaneously distributing piezoelectric and non-piezoelectric materials.
COMPOSITE STRUCTURES
(2021)
Article
Computer Science, Interdisciplinary Applications
Bing Yi, Gil Ho Yoon, Ran Zheng, Long Liu, Daping Li, Xiang Peng
Summary: Topology optimization is an engineering tool used to find efficient designs. This research proposes a new mapping based interpolation function for multi-material topology optimization, aiming to solve issues related to material modeling and clear results. Several topology optimization problems were solved to demonstrate the effectiveness of this interpolation function.
COMPUTERS & STRUCTURES
(2023)
Article
Engineering, Multidisciplinary
Hollis Smith, Julian Norato
Summary: This work presents a topology optimization method for designing fiber reinforcement and spatial layout of rectangular laminated plates in a three-dimensional design region. The method uses geometry projection techniques for efficient analysis with a non-conforming mesh. The laminates are assumed to be homogeneous in thickness and a discrete set of fiber orientations is considered. The optimization involves finding the optimal volume fraction of each fiber orientation in each laminate. Numerical examples demonstrate the effectiveness of the method in improving the performance of the laminates through layup and spatial layout optimization.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2023)
Article
Mechanics
Dzenan Hozic, Carl-Johan Thore, Christopher Cameron, Mohamed Loukil
Summary: HFP introduces a novel way to parametrize candidate materials in optimization problems, using a filtering technique based on hyperbolic functions. Despite the additional non-linearity introduced, HFP has fewer optimization variables and constraints compared to DMTO and SFP, showing consistent performance in optimizing composite plates.
COMPOSITE STRUCTURES
(2021)
Article
Chemistry, Analytical
Jinqing Zhan, Yifeng Li, Zhen Luo, Min Liu
Summary: This paper presents a method for the topological design of multi-material compliant mechanisms with global stress constraints. The approach maximizes the output displacement of multi-material compliant mechanisms while meeting the stress constraints for each material. The method involves element stacking and separable stress interpolation, as well as the use of modified P-norm method and adjoint method for calculating stress constraints.
Article
Computer Science, Interdisciplinary Applications
Rubens Zolar Gehlen Bohrer, Il Yong Kim
Summary: This paper presents a method to simultaneously optimize the material placement, selection, and stacking sequence of composite plates in a multi-material topology optimization framework. The optimal material performance is achieved by defining the material layup and conducting the optimization process.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2022)
Article
Engineering, Multidisciplinary
Mahmoud Alfouneh, Van-Nam Hoang, Zhen Luo, Quantian Luo
Summary: This article investigates the topology optimization of multi-layer multi-material composite structures under static loading. The moving iso-surface threshold optimization method, previously defined for single or cellular materials, is extended to multi-layer multi-material structures using a physical response function discrepancy scheme. It is also integrated with an alternating active-phase algorithm as an alternative procedure. The proposed methods are applied to three types of objective functions, namely, minimizing compliance, maximizing mutual strain energy, and minimizing full-stress designs. Examples are presented and compared with existing literature to verify the derived formulations for topology optimization of multi-layer multi-material structures.
ENGINEERING OPTIMIZATION
(2023)
Article
Computer Science, Interdisciplinary Applications
Rubens Bohrer, Il Yong Kim
Summary: This paper introduces an improved multi-material topology optimization method that avoids the element stacking process and considers a mixture of isotropic and anisotropic materials in commercial finite element engines. By enhancing the element duplication method, it improves numerical efficiency and serves as an alternative for computing sensitivities in discrete material optimization schemes.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2021)
Article
Mechanics
Jiantao Bai, Wenjie Zuo
Summary: This article proposes a level set topology optimization method to design coated structures with multiple infill materials. The method constructs a multi-material interpolation model by combining multiple level set functions and derives shape derivatives for the multi-material optimization model of the coated structures for the first time.
COMPOSITE STRUCTURES
(2022)
Article
Mechanics
Zunyi Duan, Yuqi Liu, Junling Fan, Kai Long, Bin Xu, Jihong Zhu, Jun Yan
Summary: This study proposes an effective methodology for the design optimization of fiber-reinforced composite structures using the Multi-scale and Multi-material Composite Anisotropic Penalization (MMCAP) model. The model considers both macroscopic multi-material structural topology and microscopic discrete fiber laying angle selection as independent design variables. The proposed MMCAP scheme demonstrates the capability of achieving multi-material and multi-scale design optimization for fiber-reinforced composite structures.
COMPOSITE STRUCTURES
(2023)
Article
Computer Science, Interdisciplinary Applications
Rodrigo L. Pereira, Heitor N. Lopes, Marcio S. Moura, Renato Pavanello
Summary: This study presents a multi-domain acoustic topology optimization approach for the design of reactive and dissipative expansion chamber mufflers. The proposed method utilizes the Bi-directional Evolutionary Structural Optimization (BESO) algorithm and a novel material interpolation scheme, considering acoustic, porous, and rigid domains during the optimization process. Results show that this method significantly enhances the mean value of sound Transmission Losses (TL) in a broad frequency range, as well as presenting clear optimized partitions.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2023)
Article
Engineering, Multidisciplinary
Shuzhi Xu, Jikai Liu, Bin Zou, Quhao Li, Yongsheng Ma
Summary: A novel solution to the stress-constrained multi-material topology optimization (SMMTO) problem is proposed based on the ordered SIMP method. The approach utilizes a new interpolation function and scaling of stress measure to effectively address the SMMTO problem.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2021)
Article
Computer Science, Interdisciplinary Applications
Haoqing Ding, Bin Xu, Chenguang Huang, Zunyi Duan
Summary: This study proposes a concurrent optimization model for fiber-reinforced composite structures, which combines polynomial interpolation scheme and Heaviside penalization to achieve structural vibration suppression and lightweight design.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2021)
Article
Mechanics
Zongliang Du, Yunhang Guo, Chang Liu, Weisheng Zhang, Riye Xue, Yilin Guo, Shan Tang, Xu Guo
Summary: This work presents an explicit three-dimensional topology optimization approach for multi-material composite structures considering finite deformation. The approach uses different sets of three-dimensional Moving Morphable Voids (MMVs) to identify each phase material, resulting in explicit geometric descriptions of the optimized composite structures and a reduction in the number of design variables. By decoupling the topology description and finite element analysis, redundant degrees of freedom are eliminated, mitigating the convergence issue of finite deformation analysis caused by low-density elements and leading to significant computational savings.
COMPOSITE STRUCTURES
(2024)
Article
Engineering, Multidisciplinary
Dong Yihao, Cheng Ziheng, Gu Xuechen, He Shaoming
Summary: This work presents a computational approach for the design of functionally graded composite with the combination of topology optimization. The shell is laminated in a coat-base structure and assigned as orthotropic with optimal orientation. The interpolation model extended from the two-step filter precisely defines the location of candidate materials. The optimized structures are evaluated through stress and buckling analysis.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2022)
Article
Urology & Nephrology
Priyanka Gupta, John Schomburg, Suprita Krishna, Oluwakayode Adejoro, Qi Wang, Benjamin Marsh, Andrew Nguyen, Juan Reyes Genere, Patrick Self, Erik Lund, Badrinath R. Konety
JOURNAL OF ENDOUROLOGY
(2017)
Article
Engineering, Mechanical
Esben Toke Christensen, Erik Lund, Esben Lindgaard
JOURNAL OF MECHANICAL DESIGN
(2018)
Article
Computer Science, Interdisciplinary Applications
Erik Lund
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2018)
Article
Mechanics
J. H. Sjolund, E. Lund
COMPOSITE STRUCTURES
(2018)
Article
Computer Science, Interdisciplinary Applications
Esben Toke Christensen, Alexander I. J. Forrester, Erik Lund, Esben Lindgaard
JOURNAL OF COMPUTING AND INFORMATION SCIENCE IN ENGINEERING
(2018)
Article
Computer Science, Interdisciplinary Applications
J. H. Sjolund, D. Peeters, E. Lund
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2018)
Article
Engineering, Mechanical
Chi Wu, Yunkai Gao, Jianguang Fang, Erik Lund, Qing Li
JOURNAL OF MECHANICAL DESIGN
(2019)
Article
Computer Science, Interdisciplinary Applications
Zunyi Duan, Jun Yan, Ikjin Lee, Erik Lund, Jingyuan Wang
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2019)
Article
Mechanics
J. H. Sjolund, D. Peeters, E. Lund
COMPOSITE STRUCTURES
(2019)
Article
Computer Science, Interdisciplinary Applications
Zunyi Duan, Jun Yan, Ikjin Lee, Erik Lund, Jingyuan Wang
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2019)
Article
Computer Science, Interdisciplinary Applications
Bin Niu, Yao Shan, Erik Lund
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2019)
Article
Computer Science, Interdisciplinary Applications
Asbjorn M. Olesen, Sebastian M. Hermansen, Erik Lund
Summary: Recent advancements in additive manufacturing have enabled the production of highly complex designs obtained through topology optimization. However, additively manufactured metals often exhibit transversely isotropic behavior, depending on the chosen print plane orientation, complicating design. This work focuses on additively manufactured metals with isotropic stiffness but transversely isotropic strength properties, proposing a criterion to account for orientation-dependent strength in high-cycle fatigue. Additional formulations for fatigue damage are suggested for improved accuracy and computational efficiency in topology and print plane orientation optimization.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2021)
Article
Computer Science, Interdisciplinary Applications
Christian Krogh, Brian L. Bak, Esben Lindgaard, Asbjorn M. Olesen, Sebastian M. Hermansen, Peter H. Broberg, Jorgen A. Kepler, Erik Lund, Johnny Jakobsen
Summary: This paper presents a simple MATLAB code for simulating and optimizing the draping of composite material fabric onto a mold, with potential educational purposes and extensions for optimization of draping parameters.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2021)
Article
Engineering, Civil
Bin Niu, Ning Feng, Erik Lund, Yue Leng
Summary: This work focuses on the design optimization of laminated structures subjected to initial excitation to minimize residual vibration. The Discrete Material Optimization (DMO) method with the solid isotropic material with penalization (SIMP) model is used for the design optimization, which includes the stacking sequence, fiber angles, and material selection for the composite structures. The finite element method is employed for transient vibration analysis, where the residual vibration is identified. The integration of squared displacement of residual vibration is selected as the objective function, simplified by the Lyapunov equation, and a modal reduction method is used to improve computational efficiency. The optimization iteration is conducted using the sequential linear programming (SLP) algorithm with the help of design sensitivities obtained by an adjoint method. Numerical examples are provided to demonstrate the effectiveness of the proposed method, and the influences of various initial excitations on the optimized solutions are discussed.
THIN-WALLED STRUCTURES
(2022)
Article
Multidisciplinary Sciences
Christian Krogh, Peter H. Broberg, Sebastian M. Hermansen, Asbjorn M. Olesen, Brian L. V. Bak, Esben Lindgaard, Erik Lund, Jorgen Kepler, Johnny Jakobsen
Summary: This study focuses on the layup process of large composite structures, such as wind turbine blades. By combining literature review, advanced finite element modeling, and experimental tests, a new concept for automating the draping process is proposed and analyzed. The simulation results confirm the feasibility of the concept for physical prototyping.
