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Cortical bone is a tough biological material composed of tube-like osteons embedded in the organic matrix surrounded by weak interfaces known as cement lines. The cement lines provide a microstructurally preferable crack path, hence…

Applied Physics · Physics 2024-05-24 Shashank Gupta , Reza Moini

In this paper, we present a topology optimization (TO) framework to enable automated design of mechanical components while ensuring the result can be manufactured using multi-axis machining. Although TO improves the part's performance, the…

Computational Engineering, Finance, and Science · Computer Science 2020-02-19 Amir M. Mirzendehdel , Morad Behandish , Saigopal Nelaturi

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…

Computational Engineering, Finance, and Science · Computer Science 2023-04-17 Fengwen Wang , Ole Sigmund

Wide variety of engineering design tasks can be formulated as constrained optimization problems where the shape and topology of the domain are optimized to reduce costs while satisfying certain constraints. Several mathematical approaches…

Optimization and Control · Mathematics 2015-03-10 Igor Ostanin , Denis Zorin , Ivan Oseledets

The design of specified nonlinear mechanical responses into a structure or material is a highly sought after capability, which would have a significant impact in areas such as wave tailoring in metamaterials, impact mitigation, soft…

Materials Science · Physics 2023-12-01 Brianna MacNider , Ian Frankel , Kai Qian , Alan Pozos , Aketzali Santos , H. Alicia Kim , Nicholas Boechler

In the present paper, an integrated paradigm for topology optimization on complex surfaces with arbitrary genus is proposed. The approach is constructed based on the two-dimensional (2D) Moving Morphable Component (MMC) framework, where a…

Optimization and Control · Mathematics 2022-02-03 Wendong Huo , Chang Liu , Zongliang Du , Xudong Jiang , Zhengyu Liu , Xu Guo

Metamaterials exhibit materials response deviation from conventional elasticity. This phenomenon is captured by the generalized elasticity as a result of extending the theory at the expense of introducing additional parameters. These…

Computational Engineering, Finance, and Science · Computer Science 2021-06-10 Bilen Emek Abali , Emilio Barchiesi

This paper proposes a self-support topology optimization method that considers distortion to improve the manufacturability of additive manufacturing. First, a self-support constraint is proposed that combines an overhang angle constraint…

Computational Engineering, Finance, and Science · Computer Science 2022-12-15 Takao Miki

Topology optimization is an important basis for the design of components. Here, the optimal structure is found within a design space subject to boundary conditions. Thereby, the specific material law has a strong impact on the final design.…

Computational Engineering, Finance, and Science · Computer Science 2024-04-29 Miriam Kick , Philipp Junker

In recent years, new methods have been developed to synthesize complex porous and micro-structured geometry in a variety of ways. In this work, we take these approaches one step further and present these methods as an efficacious design…

We describe a method for modeling the geometry of porous materials. The approach enables the independent selection of crucial parameters, including porosity, pore size distribution, pore shape, and connectivity. Consequently, it can…

Materials Science · Physics 2024-04-19 Felix Buchele , Patric Müller , Michael Blank , Thorsten Pöschel

A feature-mapping framework for inverse reconstruction of density-based topology optimization results is proposed. Unlike SIMP, whose voxelized outputs are hard to interpret or reuse, the method represents designs with high-level geometric…

Optimization and Control · Mathematics 2026-02-16 Patrick Jung

We introduce a method to design lightweight shell objects that are structurally robust under the external forces they may experience during use. Given an input 3D model and a general description of the external forces, our algorithm…

Computational Geometry · Computer Science 2019-06-26 Erva Ulu , James McCann , Levent Burak Kara

This paper introduces a heuristic topology optimization framework for thin-walled, 2D extruded lattice structures subject to complex high-speed loading. The proposed framework optimizes the wall thickness distribution in the lattice cross…

Optimization and Control · Mathematics 2022-10-24 Junyan He , Shashank Kushwaha , Diab Abueidda , Iwona Jasiuk

The production of concrete generates roughly 8% of anthropogenic CO2 globally, largely because of the massive quantities that are manufactured. New design methods must be developed and deployed to improve the material efficiency of…

Computational Engineering, Finance, and Science · Computer Science 2026-04-27 Jackson L. Jewett , Josephine V. Carstensen

Complex non-local behavior makes designing high efficiency and multifunctional metasurfaces a significant challenge. While using libraries of meta-atoms provide a simple and fast implementation methodology, pillar to pillar interaction…

Development of additive manufacturing in last decade greatly improves tissue engineering. During the manufacturing of porous scaffold, simplified but functionally equivalent models are getting focused for practically reasons. Scaffolds can…

Graphics · Computer Science 2018-12-04 Ke Liu , Ye Guo , Zeyun Yu

In this paper, we present a framework for multiscale topology optimization of fluid-flow devices. The objective is to minimize dissipated power, subject to a desired contact-area. The proposed strategy is to design optimal microstructures…

Computational Engineering, Finance, and Science · Computer Science 2023-09-18 Rahul Kumar Padhy , Krishnan Suresh , Aaditya Chandrasekhar

In this note, we propose a formal framework accounting for the sensitivity of a function of the domain with respect to the addition of a thin ligament. To set ideas, we consider the model setting of elastic structures, and we approximate…

Optimization and Control · Mathematics 2019-12-30 Charles Dapogny

Materials that are strong, ultra-light weight and tough are in demand for a range of applications, requiring architectures and components carefully designed from the micrometer down to nanometer scales. Nacre-a structure found in many…

Materials Science · Physics 2017-10-12 Sylvain Deville , Eduardo Saiz , Ravi K. Nalla , Antoni P. Tomsia