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We present a new framework for the simultaneous optimiziation of both the topology as well as the relative density grading of cellular structures and materials, also known as lattices. Due to manufacturing constraints, the optimization…

计算工程、金融与科学 · 计算机科学 2025-05-27 Jonathan Stollberg , Tarun Gangwar , Oliver Weeger , Dominik Schillinger

Fluidic devices are crucial components in many industrial applications involving fluid mechanics. Computational design of a high-performance fluidic system faces multifaceted challenges regarding its geometric representation and physical…

图形学 · 计算机科学 2022-09-27 Yifei Li , Tao Du , Sangeetha Grama Srinivasan , Kui Wu , Bo Zhu , Eftychios Sifakis , Wojciech Matusik

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

This study proposes a novel topology optimization method for unsteady fluid flows induced by actively moving rigid bodies. The key idea of the proposed method is to decouple the design and analysis domains by using separate grids. The…

最优化与控制 · 数学 2025-07-01 Yuta Tanabe , Kentaro Yaji , Kuniharu Ushijima

We present a robust and efficient method for simulating Lagrangian solid-fluid coupling based on a new operator splitting strategy. We use variational formulations to approximate fluid properties and solid-fluid interactions, and introduce…

图形学 · 计算机科学 2023-01-06 Tianyi Xie , Minchen Li , Yin Yang , Chenfanfu Jiang

We introduce a computational framework for the topology optimization of cellular structures with spatially varying architecture, which is applied to functionally graded truss lattices under quasistatic loading. We make use of a first-order…

其他凝聚态物理 · 物理学 2022-05-31 Bastian Telgen , Ole Sigmund , Dennis M. Kochmann

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

The purpose of this work is two-fold. First, we introduce an efficient homogenization-based approach to perform topology optimization of coated structures with orthotropic infill material. By making use of the relaxed design space, we can…

计算工程、金融与科学 · 计算机科学 2018-08-15 Jeroen Groen , Jun Wu , Ole Sigmund

The uncertainties in material and other properties of structures are usually spatially correlated. We introduce an efficient technique for representing and processing spatially correlated random fields in robust topology optimisation of…

数值分析 · 数学 2023-12-27 Ismael Ben-Yelun , Ahmet Oguzhan Yuksel , Fehmi Cirak

We present a finite element method for the Stokes equations involving two immiscible incompressible fluids with different viscosities and with surface tension. The interface separating the two fluids does not need to align with the mesh. We…

数值分析 · 数学 2015-03-20 Peter Hansbo , Mats G. Larson , Sara Zahedi

Topological states of matter, first discovered in quantum systems, have opened new avenues for wave manipulation beyond the quantum realm. In elastic media, realizing these topological effects requires identifying lattices that support the…

材料科学 · 物理学 2025-03-24 Pegah Azizi , Rahul Dev Kundu , Weichen Li , Kai Sun , Xiaojia Shelly Zhang , Stefano Gonella

This paper proposes a topology optimization method for non-thermal and thermal fluid problems using the Lattice Kinetic Scheme (LKS).LKS, which is derived from the Lattice Boltzmann Method (LBM), requires only macroscopic values, such as…

数值分析 · 数学 2024-11-06 Yuta Tanabe , Kentaro Yaji , Kuniharu Ushijima

In this work, we develop a new algorithm to solve large-scale incompressible time-dependent fluid--structure interaction (FSI) problems using a matrix-free finite element method in arbitrary Lagrangian--Eulerian (ALE) frame of reference. We…

We present a multi-scale lattice Boltzmann scheme, which adaptively refines particles' velocity space. Different velocity sets, i.e., higher- and lower-order lattices, are consistently and efficiently coupled, allowing us to use the…

流体动力学 · 物理学 2021-06-16 N. G. Kallikounis , B. Dorschner , I. V. Karlin

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

We present a stochastic algorithm for constructing a topologically disordered (i.e., non-regular) spatial lattice with nodes of constant coordination number, the CC lattice. The construction procedure dramatically improves on an earlier…

无序系统与神经网络 · 物理学 2019-11-06 Manuel Schrauth , Jefferson S. E. Portela

This study proposes the topology optimization method for moving rigid bodies subjected to forces from fluid flow, such as sails and turbines, with an unsteady time-dependent formulation. Unlike existing topology optimization frameworks in…

流体动力学 · 物理学 2026-01-27 Yuta Tanabe , Kentaro Yaji , Kuniharu Ushijima

We propose a partitioned method for the monolithic formulation of the Stokes-Biot system that incorporates Lagrange multipliers enforcing the interface conditions. The monolithic system is discretized using finite elements, and we establish…

数值分析 · 数学 2026-01-21 Amy de Castro , Hyesuk Lee

Additive manufacturing is advantageous for producing lightweight components while addressing complex design requirements. This capability has been bolstered by the introduction of unit lattice cells and the gradation of those cells. In…

机器学习 · 计算机科学 2023-06-21 Martha Baldwin , Nicholas A. Meisel , Christopher McComb
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