During the last years, low‐rank tensor approximation has been established as a new tool in
scientific computing to address large‐scale linear and multilinear algebra problems, which …

This paper revisits a new model reduction methodology based on the use of separated
representations, the so called Proper Generalized Decomposition—PGD. Space and time …

In this paper we are addressing a new paradigm in the field of simulation-based engineering
sciences (SBES) to face the challenges posed by current ICT technologies. Despite the …

The objective of this contribution is to present a unifying review on strain-driven
computational homogenization at finite strains, thereby elaborating on computational …

Composite materials and structures are inherently inhomogeneous and anisotropic across
multiple scales. Multiscale modelling offers opportunities to understand the coupling of …

Research on topology optimization mainly deals with the design of monoscale structures,
which are usually made of homogeneous materials. Recent advances of multiscale …

We systematically design materials using topology optimization to achieve prescribed
nonlinear properties under finite deformation. Instead of a formal homogenization …

This paper builds on our recent work (Xia and Breitkopf, 2014) on multiscale structural
topology optimization where at the microscopic scale, local materials are optimized …

This paper reviews the recent developments in the field of multiscale modelling of
heterogeneous materials with emphasis on homogenization methods and strain localization …

This chapter presents an overview of Model Order Reduction–a new paradigm in the field of
simulationbased engineering sciences, and one that can tackle the challenges and leverage …