Sie sind hier:


Evolutionary Solid Bodies - Micro-structural rearrangements and design modifications in heterogeneous materials


The Summer School focuses on micro-structural rearrangements and design modifications in heterogeneous materials, which are hot topics in the mechanical community. The scientific idea behind the Summer School is then to work out the common fundamentals in both theory and computation of the two core topics.


1. Mechanics of material inhomogeneities

Inhomogeneous deformations due to the presence of a microstructure within the material as well as fracture mechanics, propagation of damage and phase transitions are amongst the phenomena to be treated. The issue of the impact of the inherent microstructure will be addressed through proper extensions of the classical Cauchy continuum, either by incorporation of additional gradients of the fields, or new kinematic variables such as micro-deformations or rotational degrees of freedom. Such enriched generalized continuum models shall ideally be obtained through proper multiscale schemes starting directly from the microstructural level. Proper selection of the microstructure distribution and properties to reach optimal effective properties at a mesoscopic level is one challenge to be addressed.


2. Structural optimization

The engineer is used to design optimal macroscopic structures by modifying problem dependent parameters. In detail, different scalar valued design variables of different kinds can be introduced for parameter, thickness, shape and topology optimization. The computational approaches solve the application problems on the discrete level while neglecting the fundamental problem of a fixed solid body. The advantages of structural optimization lie in the fact that every discrete quantity has already been considered as design variable. Modifications by the engineer can be interpreted as design evolutions but they have not been modeled as a time depending process.


The challenge of linking both pillars

One main objective of the Summer School is then to (attempt to) unify the computational techniques known in structural optimization (engineer has learned how to compute modifications of every quantity) and to combine them with multiscale models for heterogeneous materials. The choice of an optimal microstructure for specific requirements at the mesoscopic or macroscopic level is a key issue in composite engineering, requiring techniques from structural optimization and homogenization.



The Summer School is addressed to international PhD students and postdoctoral researchers in mechanical and civil engineering, applied mathematics, physics, mechanics of materials and material science who are interested in broadening their interests and knowledge in the area of analysis and design of heterogeneous materials. The Summer School is equally open to Master students, senior scientists and engineers from relevant industries.



The Summer School will be held at the DJH JugendGästehaus Bollendorf, Germany.