research

We discuss the relevance of non-metricity in a metric-affine manifold (a manifold equipped with a connection and a metric) and the nonlinear mechanics of distributed point defects. We describe a geometric framework in which one can calculate analytically the residual stress field of nonlinear elastic solids with distributed point defects. In particular, we use Cartan's machinery of moving frames and construct the material manifold of a finite ball with a spherically-symmetric distribution of point defects.

http://orbilu.uni.lu/handle/10993/12915 http://orbilu.uni.lu/bitstream/10993/12915/1/2011implicitDomainFEM_CMAM…

The in situ nanomechanics is an emerging field that investigates the mechanical properties and deformation mechanisms of nanoscale and nanostructured materials, by integrating the real-time mechanical testing inside electron microscope and the mechanics modeling with atomic resolution. It provides a powerful approach to "visualize" the intrinsic nanomechanical behavior of materials - seeing is believing.

Computational modelling of materials behaviour
is becoming a reliable tool to underpin scientific investigations and to
complement traditional theoretical and experimental approaches. In cases where
an understanding of the dual nature of the structure of matter (continuous when
viewed at large length scales and discrete when viewed at smaller length scales) and
its interdependences are crucial, multiscale materials modelling (MMM)