A Strategy for Adaptive Scale-Bridging in Computational Material Modeling
Research Project , 2017 – 2020

The proposed project concerns the further development and refinement of a strategy for adaptive scale-bridging in the modeling of micro-heterogeneous composites. Such scale-bridging is computationally desirable in analyzing structures when strong gradients are pronounced from a macroscale viewpoint, e.g. in the presence of stress concentrations of various types. The most important feature of a scale-bridging strategy is a sufficiently versatile variational format that allows for a virtually "seamless" transition from a direct resolution of the fine scales (as one extreme) to solutions based on homogenization (as the other) extreme. It then appears that socalled "discretization-based" homogenization emerges naturally from the variational framework in the spirit of the classical Variational MultiScale Method (denoted VMS). A key novelty in the proposed project is to establish and implement a "dual mixed" variational format, which is complementary to the standard VMS-format and which allows for Neumann boundary conditions on subscale domains.<br /><br />The following main tasks are identified as part of the proposed Ph.D. project: (1) Establish and implement the <em>complementary</em> variational format of <em>discretization-based homogenization</em>. (2) Carry out an in-depth analysis of discretization-based homogenization. (3) Develop further the scale-bridging strategy based on goal-oriented adaptivity. (4) Apply the developed computational tool to asphalt-concrete with cracks present.


Kenneth Runesson (contact)

Full Professor at Chalmers, Industrial and Materials Science, Material and Computational Mechanics


Swedish Research Council (VR)

Funding Chalmers participation during 2017–2020

Related Areas of Advance and Infrastructure

Sustainable development

Driving Forces

Materials Science

Areas of Advance

More information

Latest update