In this paper we investigate the application of bounding volume hierarchies in collision detection among densely packed fiber assemblies like hair strands or cable looms. In particular, we glance at collision detection algorithms with sub-quadratic upper bound and their practicability and performance in complex dynamic hair scenes. Unlike common collision detection techniques our approach explo...

We give results of large deflection experiments involving the bending and twisting of 1 mm diameter nickel-titanium alloy rods, up to 2 m in length. These results are compared to calculations based on the Cosserat theory of rods. Details of this theory, formulated as a boundary value problem are presented. The mathematical boundary conditions model the experimental set up. The rods are clamped ...

We study trabecular bone as a hierarchical material with a highly complex and random structure. First, we characterize trabecular bone’s structure at several structural levels: nanoscale (apatite crystals and collagen fibril level), sub-microscale (single lamella level), microscale (single trabecular pocket or single trabecula level), and mesoscale (porous trabecular network level) using atomic...

We present a time-dependent finite element model of the human knee joint of full 3D geometric complexity together with advanced numerical algorithms needed for its simulation. The model comprises bones, cartilage and the major ligaments, while patella and menisci are still missing. Bones are modeled by linear elastic materials, cartilage by linear viscoelastic materials, and ligaments by onedim...

As a matter of fact, the solution space of many systems of ordinary differential (OD) or partial differential (PD) equations in engineering or mathematical physics ”can/cannot” be parametrized by a certain number of arbitrary functions behaving like ”potentials”. In view of the explicit examples to be met later on, it must be noticed that the parametrizing operator, though often of the first or...