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Computers & Structures, 1998
Abstract This is the third part of a three paper review of homogenization and topology optimization. In the first two papers the homogenization theory and solution of the equations for different material models to be used in topology optimization by the homogenization method are described.
Ernest Hinton, Behrooz Hassani
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Abstract This is the third part of a three paper review of homogenization and topology optimization. In the first two papers the homogenization theory and solution of the equations for different material models to be used in topology optimization by the homogenization method are described.
Ernest Hinton, Behrooz Hassani
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Continuum Topology Optimization
10th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, 2004Many shortcomings of the existing topology optimization approaches are reported because the number of design variables is too large and design change is limited by the setting of the initial domain that absolutely inf luences optimization results although much improvement is under way.
Il Yong Kim, Soobum Lee, Byung Man Kwak
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Filters in topology optimization
International Journal for Numerical Methods in Engineering, 2001AbstractIn this article, a modified (‘filtered’) version of the minimum compliance topology optimization problem is studied. The direct dependence of the material properties on its pointwise density is replaced by a regularization of the density field by the mean of a convolution operator.
Blaise Bourdin, Blaise Bourdin
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2020
In this chapter, a topology optimization algorithm based on the topological derivative concept combined with a level-set domain representation method is presented. The model problem is governed by the elasticity system into two spatial dimensions. The topological asymptotic expansion of a tracking-type shape functional, associated with the nucleation ...
Jan Sokołowski, Antonio André Novotny
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In this chapter, a topology optimization algorithm based on the topological derivative concept combined with a level-set domain representation method is presented. The model problem is governed by the elasticity system into two spatial dimensions. The topological asymptotic expansion of a tracking-type shape functional, associated with the nucleation ...
Jan Sokołowski, Antonio André Novotny
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Adaptive topology optimization
Structural Optimization, 1995Topology optimization of continuum structures is often reduced to a material distribution problem. Up to now this optimization problem has been solved following a rigid scheme. A design space is parametrized by design patches, which are fixed during the optimization process and are identical to the finite element discretization.
Ekkehard Ramm, Kurt Maute
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Topology Optimization with Superelements
AIAA Journal, 1996The superelement method was employed for finite element analysis. The target panel was modeled as the residual structure and the rest as one big substructure.
C. M. Lu, Ren-Jye Yang
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On benchmarking and good scientific practise in topology optimization
Structural And Multidisciplinary Optimization, 2022O. Sigmund
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Topological Optimization with Interfaces
2019Design of architectured materials and structures, whether in nature or in engineering, often relies on forms of optimization. In nature, controlling architecture or spatial heterogeneity is usually adaptive and incremental. Naturally occuring architectured materials exploit heterogeneity with typically graded interfaces, smoothly transitioning across ...
Grégoire Allaire+7 more
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Topology optimization in OpenMDAO
Structural and Multidisciplinary Optimization, 2019Recently, topology optimization has drawn interest from both industry and academia as the ideal design method for additive manufacturing. Topology optimization, however, has a high entry barrier as it requires substantial expertise and development effort. The typical numerical methods for topology optimization are tightly coupled with the corresponding
Justin S. Gray+4 more
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Data-driven geometry-based topology optimization
Structural And Multidisciplinary Optimization, 2022Van-Nam Hoang+4 more
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