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An optimization method for the design of multi-lattice structures satisfying local buckling constraints is proposed in this paper. First, the concept of free material optimization is introduced to find an optimal elastic tensor distribution…

计算几何 · 计算机科学 2021-11-10 Xingtong Yang , Xinzhuo Hu , Liangchao Zhu , Ming Li

This study presents an extension of multiscale topology optimization by integrating both yield stress and local/global buckling considerations into the design process. Building upon established multiscale methodologies, we develop a new…

计算工程、金融与科学 · 计算机科学 2025-05-08 Christoffer Fyllgraf Christensen , Fengwen Wang , Ole Sigmund

This paper proposes a methodology for architecting microstructures with extremal stiffness, yield, and buckling strength using topology optimization. The optimized microstructures reveal an interesting transition from simple lattice like…

计算工程、金融与科学 · 计算机科学 2023-04-17 Fengwen Wang , Ole Sigmund

Buckling strength estimation of architected materials has mainly been restricted to load cases oriented along symmetry axes. However, realistic load scenarios normally exhibit more general stress distributions. In this paper we propose a…

应用物理 · 物理学 2021-05-14 Morten N. Andersen , Yiqiang Wang , Fengwen Wang , Ole Sigmund

We present a 250 line Matlab code for topology optimization for linearized buckling criteria. The code is conceived to handle stiffness, volume and Buckling Load Factors (BLFs) either as the objective function or as constraints. We use the…

最优化与控制 · 数学 2021-01-27 Federico Ferrari , Ole Sigmund , James K. Guest

Lattice structures, known for their superior mechanical properties, are widely used in industries such as aerospace, automotive, and biomedical. Their advantages primarily lie in the interconnected struts at the micro-scale. The robust…

计算工程、金融与科学 · 计算机科学 2025-02-06 Sifan Chen , Yuan Kong , Qiang Zou

Interest in components with detailed structures increased with the progress in advanced manufacturing techniques in recent years. Parts with graded lattice elements can provide interesting mechanical, thermal, and acoustic properties…

计算工程、金融与科学 · 计算机科学 2023-06-29 Daniel Hübner , Fabian Wein , Michael Stingl

Much work has been done in topology optimization of multiscale structures for maximum stiffness or minimum compliance design. Such approaches date back to the original homogenization-based work by Bends{\o}e and Kikuchi from 1988, which…

计算工程、金融与科学 · 计算机科学 2023-05-01 Christoffer Fyllgraf Christensen , Fengwen Wang , Ole Sigmund

This paper proposes a computational framework for the design optimization of stable structures under large deformations by incorporating nonlinear buckling constraints. A novel strategy for suppressing spurious buckling modes related to…

计算工程、金融与科学 · 计算机科学 2023-06-07 Guodong Zhang , Kapil Khandelwal , Tong Guo

Although stress-constrained topology optimization has been extensively studied in structural design, the development of optimization frameworks to enable the creation of metamaterials with optimal mechanical performance is still an open…

计算工程、金融与科学 · 计算机科学 2026-02-24 Yanda Chen , Sebastian Rodriguez , Beatriz Moya , Francisco Chinesta

Aligning lattices based on local stress distribution is crucial for achieving exceptional structural stiffness. However, this aspect has primarily been investigated under a single load condition, where stress in 2D can be described by two…

计算工程、金融与科学 · 计算机科学 2025-01-20 Junpeng Wang , Rüdiger Westermann , Xifeng Gao , Jun Wu

Body-centered Cubic (BCC) lattice structures demonstrate promising performance for applications that require simultaneous mechanical energy absorption and thermal management. However, current optimization approaches are typically confined…

其他凝聚态物理 · 物理学 2026-02-20 Jaswanth V Gurudev , Ratna Kumar Annabattula

We review some features of topology optimization with a lower bound on the critical load factor, as computed by linearized buckling analysis. The change of the optimized design, the competition between stiffness and stability requirements…

数值分析 · 数学 2018-09-25 Federico Ferrari , Ole Sigmund

A new approach for generating stress-constrained topological designs in continua is presented. The main novelty is in the use of elasto-plastic modeling and in optimizing the design such that it will exhibit a linear-elastic response. This…

计算工程、金融与科学 · 计算机科学 2016-08-25 Oded Amir

Optimization of large structures of multiple components is essential to many industries for minimizing mass, especially the design of aerospace vehicles. Optimizing a single primary load member independently of all other primary structures…

数值分析 · 数学 2016-02-16 Alexander Lavin , Giovanni Greco , Kenjji Shimada

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…

数值分析 · 数学 2022-09-07 Sean McBane , Youngsoo Choi , Karen Willcox

Inspired by natural cellular materials such as trabecular bone, lattice structures have been developed as a new type of lightweight material. In this paper we present a novel method to design lattice structures that conform with both the…

计算工程、金融与科学 · 计算机科学 2019-09-06 Jun Wu , Weiming Wang , Xifeng Gao

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…

计算工程、金融与科学 · 计算机科学 2020-04-22 Hesaneh Kazemi , Ashkan Vaziri , Julian A. Norato

This work presents a multilevel approach to large--scale topology optimization accounting for linearized buckling criteria. The method relies on the use of preconditioned iterative solvers for all the systems involved in the linear buckling…

数值分析 · 数学 2020-03-03 Federico Ferrari , Ole Sigmund

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…

计算工程、金融与科学 · 计算机科学 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
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