Kijanski, WojciechBarthold, Franz-Joseph2021-04-302021-04-302021-03-06http://hdl.handle.net/2003/4016610.17877/DE290R-22038This 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.enComput Mech;67https://creativecommons.org/licenses/by/4.0/FEMNumerical multiscale methods (FE2) and homogenisationTwo-scale structural analysisVariational sensitivity analysisStructural optimisationShape optimisation690article (journal)