Two-scale shape optimisation based on numerical homogenisation techniques and variational sensitivity analysis

Autor: Wojciech Kijanski, Franz-Joseph Barthold
Rok vydání: 2021
Předmět:
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