The hard spectrum which is available on the BAMline at Berlin's synchrotron BESSY offers the rare opportunity to perform high-resolution X-ray imaging experiments with a partially coherent beam.This thesis work reports on the development of a new tomography system including Fresnel-propagated imaging and its application to three specific materials science problems from the fields of engineering materials biology and earth science:A) 2D and 3D images were recorded from a variety of aluminum-based alloys to characterize coarsening of particle agglomerates (at high solid volume fraction) in liquid solution as well as rheological properties of semi-solid alloys.B) Dentin is the bulk material of teeth characterized by a quasi-parallel arrangement of micrometer-sized tubules which are believed to incarnate a natural mechanical design.C) Understanding rock fracture is one of the fundamental problems in earth science now reviewed in three dimensions.