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
M. R. Costa, A. Sohouli, A. Suleman
Summary: This study presents a computationally efficient topology optimization approach for lattice structures, while increasing design flexibility. The proposed two-scale concurrent optimization method achieves optimal topologies by simultaneously optimizing the macro-scale structure and the underlying material micro-structures. Surrogate models and an energy-based homogenization method combined with voxelization are used to represent material and geometrical properties. The optimized graded lattice structure outperforms the uniform lattice structure in terms of performance.
COMPOSITE STRUCTURES
(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
Engineering, Multidisciplinary
Baoshou Liu, Xiaodong Huang, Yinan Cui
Summary: The rapid development of additive manufacturing provides new opportunities for fabricating multi-material structures. However, the graded-interface assumption between different materials often poses challenges in topology optimization. This study proposes a new element-based topology optimization algorithm that explicitly considers interface types and allows precise control of interface width. Numerical examples demonstrate that the optimized designs using this method achieve lower compliance compared to traditional multi-material designs.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2022)
Article
Chemistry, Multidisciplinary
Katarzyna Tajs-Zielinska, Bogdan Bochenek
Summary: Structural topology optimization is a vital area in engineering optimal design. This research has been driven by efficient methods, algorithms, and contemporary engineering requirements. This paper proposes a simple and fast convergent technique based on Cellular Automata for the topology optimization of functionally graded multi-material structures, considering the important role of material interfaces.
APPLIED SCIENCES-BASEL
(2023)
Article
Mechanics
Thanh T. Banh, Nam G. Luu, Dongkyu Lee
Summary: This study introduces an effective non-homogeneous multi-material topology optimization paradigm for functionally graded structures, incorporating cracked and non-cracked cases. By utilizing X-FEM and pb-CG, efficient analysis of discontinuous states and reduction of design variables are achieved. The methodology also includes a block Gauss-Seidel-alternating active-phase algorithm for converting optimization problems, showing promising efficiency and reliability through numerical testing.
COMPOSITE STRUCTURES
(2021)
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
Computer Science, Interdisciplinary Applications
Xuanpei Rong, Jing Zheng, Chao Jiang
Summary: In this paper, an efficient topology optimization method is proposed for bi-modulus structures considering displacement constraints. A new smooth elastic modulus matrix is constructed to approximate the discontinuous modulus matrix for bi-modulus materials. The topology optimization model for structures under both single and multiple load cases is built to minimize structural compliance with volume and displacement constraints. The sensitivities of the objective function and constraints are explicitly achieved based on the adjoint method, and the gradient-based method of moving asymptotes algorithm is employed to update the topological design variables. The proposed method has been shown to be efficient and applicable to problems with multiple load cases and constraints through several numerical examples.
COMPUTERS & STRUCTURES
(2023)
Article
Mechanics
Anahita Habibian, Abdolrasoul Sohouli, Adnan Kefal, Ben Nadler, Mehmet Yildiz, Afzal Suleman
Summary: This study proposes an approach for solving density-based multi-material topology optimization of cracked structures using Peridynamics, which transforms the multi-material problem into a series of binary phase topology optimization sub-problems using the alternating active-phase algorithm. The Solid Isotropic Material with Penalty (SIMP) method is utilized to define material properties, and the optimization problem is solved through the Optimality Criteria (OC) approach. The efficiency of the proposed approach is verified through numerical examples.
COMPOSITE STRUCTURES
(2021)
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
Mathematics
Jianliang Chen, Qinghai Zhao, Liang Zhang
Summary: This paper introduces a multi-material topology optimization formulation for thermo-elastic structures, utilizing an ordered-SIMP multiple materials interpolation model and the adjoint variable method to achieve clear topologies for complicated material combinations and demonstrate sensitivity to temperature variations.
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
Mechanics
Zhengtong Han, Zhonggang Wang, Kai Wei
Summary: By assembling metamaterials with different characteristics, the applicability of shape morphing structures can be effectively enlarged. Numerical simulations show that these designs can accurately present the desired deformation behavior under various loadings. These approaches open new avenues for the extensive applications of shape morphing structures in aerospace, electric, and biomedical domains.
COMPOSITE STRUCTURES
(2022)
Article
Engineering, Multidisciplinary
Mingdong Zhou, Da Geng
Summary: This study presents a concurrent multi-scale and multi-material topology optimization approach for designing cellular structures with cooling channels for efficient thermal shielding and load carrying capabilities. The method considers a coupled thermofluidic and mechanical model with design-dependent thermal convection and employs a multi-material interpolation scheme based on the Porous Anisotropic Material with Penalization. The optimized designs demonstrate better thermomechanical behaviors due to the larger design freedom of the multi-scale composite configuration.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2021)
