Higher-Order constitutive relations for granular materials: a multi-scale approach
The mechanical behaviour of granular materials subjected to large deformations is important in many problems in science and engineering. Current numerical simulation methods using zeroth-order constitutive relations give results that are dependent on the employed mesh size. This problem can be circumvented by using higher-order constitutive relations. However, current higher-order constitutive relations are heuristic, thus in many cases the results are still mesh-size dependent. Using an innovative multi-scale approach, I will constructively challenge current higher-order continuum theories from a fundamental perspective, namely by consideration of the underlying microstructure, in order to obtain mesh-independent solutions. In ICARUS, I will: 1) develop micromechanical expressions for three-dimensional higher-order strain and stress tensors for granular materials, 2) construct higher-order constitutive models within the thermodynamic framework, based on micromechanical analyses of DEM simulations, and 3) demonstrate their capabilities in solving “benchmark” geotechnical large-deformation problems. My investigation results in a computational simulation method that provides valuable insights in large-deformation engineering problems and thus will aid in assessing and reducing risks of natural hazards, with benefits for society. Under the guidance of Prof Kruyt, an internationally-recognised expert on micromechanics of granular materials, and of my high-level international steering committee, I will acquire deep knowledge on granular micromechanics and higher-order continuum theories. This lays a solid foundation for my scientific career. ICARUS paves the way for my ambition to become an outstanding independent researcher on multi-scale studies of granular materials, by significantly strengthening my scientific skills and track record, enhancing my mentoring and teaching capabilities and expanding my international scientific network.