Authors: | Kijanski, Wojciech Barthold, Franz-Joseph |
Title: | Two-scale shape optimisation based on numerical homogenisation techniques and variational sensitivity analysis |
Language (ISO): | en |
Abstract: | This contribution presents a theoretical and computational framework for two-scale shape optimisation of nonlinear elastic structures. Particularly, minimum compliance optimisation problems with composite (matrix-inclusion) microstructures subjected to static loads and volume-type design constraints are focused. A homogenisation-based FE2 scheme is extended by an enhanced formulation of variational (shape) sensitivity analysis based on Noll’s intrinsic, frame-free formulation of continuum mechanics. The obtained overall two-scale sensitivity information couples shape variations across micro- and macroscopic scales. A numerical example demonstrates the capabilities of the proposed variational sensitivity analysis and the (shape) optimisation framework. The investigations involve a mesh morphing scheme for the design parametrisation at both macro- and microscopic scales. |
Subject Headings: | FEM Numerical multiscale methods (FE2) and homogenisation Two-scale structural analysis Variational sensitivity analysis Structural optimisation Shape optimisation |
URI: | http://hdl.handle.net/2003/40166 http://dx.doi.org/10.17877/DE290R-22038 |
Issue Date: | 2021-03-06 |
Rights link: | https://creativecommons.org/licenses/by/4.0/ |
Appears in Collections: | Lehrstuhl Statik und Dynamik |
Files in This Item:
File | Description | Size | Format | |
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Kijanski-Barthold2021_Article_Two-scaleShapeOptimisationBase.pdf | DNB | 2.17 MB | Adobe PDF | View/Open |
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