Bachelor: Interactive simulation of anisotropic fracturing with position based composite materials

Sep 1, 2018
Simulation of wood fracture

Full Thesis

Abstract

In this bachelor thesis we present a novel approach for simulating transverse- isotropic materials. In contrast to classical approaches that integrate the anisotropy into the strain-stress-constitutive model the presented approach is inspired by the natural structure of timber. A rod simulation that repre- sents the fibers in timber is combined with a solid simulation that represents the cementing material to create an anisotropic composite material. For this purpose numerous approaches to calculate the dynamic response of rods and solids as well as their common theoretical background, continuum mechanics, are reviewed. By utilizing mesh-less solid simulation and scattered rods to discretize the object, our approach is not limited to a specific shape. Further by specifying the direction of anisotropy for each particle in the object results in a particular rod pattern. Uniform anisotropic directions create fibrous ma- terial like wood while random directions create locally anisotropic materials like press wood. Modulating the randomness allows to simulate a wide vari- ety of materials. In addition, specifying the direction of anisotropy is more intuitive than parametrization of the stress-strain-constitutive model. The approach extends the recently popularized position based dynamics (PBD) allowing interactive frame rates at the cost of poor convergence making it difficult to achieve physically meaningful material parameters.