Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Two-scale shape optimisation based on numerical homogenisation techniques and variational sensitivity analysis
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.
Two-scale shape optimisation based on numerical homogenisation techniques and variational sensitivity analysis
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.
Two-scale shape optimisation based on numerical homogenisation techniques and variational sensitivity analysis
Kijanski, Wojciech (Autor:in) / Barthold, Franz-Joseph (Autor:in)
06.03.2021
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
Analysis and applications of variational sensitivity information in structural optimisation
| BASE | 2014
Homogenisation of representations
| Online Contents | 2013
Homogenisation of representations
| Taylor & Francis Verlag | 2013
On the Use of Homogenisation Techniques for the Analysis of Masonry Structures
| British Library Online Contents | 1997
| British Library Online Contents | 2002