Two-scale shape optimisation based on numerical homogenisation techniques and variational sensitivity analysis
Autor: | Wojciech Kijanski, Franz-Joseph Barthold |
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Rok vydání: | 2021 |
Předmět: |
Variational sensitivity analysis
Scale (ratio) Computer science Computational Mechanics Ocean Engineering 02 engineering and technology 01 natural sciences 0203 mechanical engineering Computational Science and Engineering Applied mathematics Sensitivity (control systems) 0101 mathematics Macro FEM Continuum mechanics Applied Mathematics Mechanical Engineering Numerical multiscale methods (FE2) and homogenisation Shape optimisation Finite element method 010101 applied mathematics Computational Mathematics Nonlinear system Morphing 020303 mechanical engineering & transports Computational Theory and Mathematics Structural optimisation Two-scale structural analysis |
Zdroj: | Computational Mechanics. 67:1021-1040 |
ISSN: | 1432-0924 0178-7675 |
DOI: | 10.1007/s00466-020-01955-6 |
Popis: | 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. Comput Mech;67 |
Databáze: | OpenAIRE |
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