Energized Rigid Body Fracture

Graph-Based Fracture Models for Rigid Body Explosions

Explosions are one of the most powerful and devastating natural phenomena. The pressure front from the blast wave of an explosion can cause fracture of objects in its vicinity and create flying debris. In this thesis, I outline a previously proposed explosion model. An explosion is treated as a fluid with its behaviour governed by the Navier-Stokes equations and the gaseous products modeled usi...

Simulating Rigid Body Fracture with Surface Meshes (Supplemental Material)

The indirect boundary integral formulation is inspired by the potential theory which is usually applied to Laplace’s equation (scalar or vector). Considering the similarity between Laplace and the similarly elliptic linear elastostatic problem, we apply this mathematical tool to stress analysis. This forms a crucial ingredient in our meshbased fracture evolution algorithm. Here we briefly intro...

Title : Rigid body dynamics

2 Rigid - Body Kinematics

Gregory S. Chirikjian Johns Hopkins University 2.1 Rotations in Three Dimensions Rules for Composing Rotations • Euler Angles • The Matrix Exponential 2.2 Full Rigid-Body Motion Composition of Motions • Screw Motions 2.3 Homogeneous Transforms and the Denavit-Hartenberg Parameters Homogeneous Transformation Matrices • The Denavit-Hartenberg Parameters in Robotics 2.4 Infinitesimal Motions and A...

RNG Rigid Body Motion

This note outlines how the coupling between the motion of rigid bodies immersed in a fluid and the motion of this fluid is handled in XNS. For a rigid body one has a group of nodes which define the surface of the rigid body called “reference node group” (RNG). For each RNG we save the properties of motion in arrays which in the following we will call “RNG arrays”. They contain the bottom and to...