Sharp interface limit for a phase field model in structural optimization
, 2016 We formulate a general shape and topology optimization problem in structural optimization by using a phase field approach. This problem is considered in view of well-posedness and we derive optimality conditions.
Christoph Rupprecht +7 more
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Topology optimization with supershapes [PDF]
Structural and Multidisciplinary Optimization, 2018 This work presents a method for the continuum-based topology optimization of structures whereby the structure is represented by the union of supershapes. Supershapes are an extension of superellipses that can exhibit variable symmetry as well as asymmetry and that can describe through a single equation, the so-called superformula, a wide variety of ...
openaire +2 more sources
Phase-field approaches to structural topology optimization [PDF]
, 2010 The mean compliance minimization in structural topology optimization is solved with the help of a phase field approach. Two steepest descent approaches based on L2- and H-1 gradient flow dynamics are discussed. The resulting flows are given by Allen-Cahn
Blank, Luise +5 more
core
Topological Bayesian Optimization with Persistence Diagrams [PDF]
arXiv, 2019 Finding an optimal parameter of a black-box function is important for searching stable material structures and finding optimal neural network structures, and Bayesian optimization algorithms are widely used for the purpose. However, most of existing Bayesian optimization algorithms can only handle vector data and cannot handle complex structured data ...
arxiv
A variational growth approach to topology optimization [PDF]
, 2017 In this contribution we present an overview of our work on a novel approach to topology optimization based on growth processes [1, 2, 3]. A compliance parameter to describe the spatial distribution of mass is introduced. It serves as an internal variable
Hackl, K., Jantos, D.R., Junker, P.
core
A shape optimization algorithm for interface identification allowing topological changes
, 2017 In this work we investigate a combination of classical PDE constrained optimization methods and a rounding strategy based on shape optimization for the identification of interfaces.
Siebenborn, Martin
core +1 more source
Topology optimization in magnetic fields using the homogenization design method [PDF]
, 2000 Jeonghoon Yoo, Noboru Kikuchi
openalex +2 more sources
Case study of natural convection topology optimization based on finite volume method
Case Studies in Thermal EngineeringTopology optimization is crucial for improving natural convection cooling devices. This study applies natural convection topology optimization to various engineering cases, including 2D, 3D, inclined, and inverted heat sink with various boundary ...
Honglei Liu +5 more
doaj
Reliability-Based Topology Optimization with a Proportional Topology for Reliability
AerospaceThis research proposes an efficient technique for reliability-based topology optimization (RBTO), which deals with uncertainty and employs proportional topology optimization (PTO) to achieve the optimal reliability structure. The recent technique, called
Noppawit Kumkam, Suwin Sleesongsom
doaj +1 more source
Brief Mentions - G. Leitman, Topics in Optimization (Academic Press Inc., New York, 1967), xv+469 pp., $18.00. - H. J. Kushner, Stochastic Stability and Control (Academic Press Inc., New York, 1967), xi+161 pp. - A. Tuller, A Modern Introduction to Geometries (D. van Nostrand & Co., London, 1967), ix+201 pp., 60s. - A. W. Wallace, Differential Topology: First Steps (W. A. Benjamin Inc., New York, 1968), 130 pp., $9.50 cloth, $3.95 paper. - V. E. Benes, Mathematical Theory of Connecting … [PDF]
, 1969 openalex +1 more source