filename     : Mar10.pdf
entry        : toappear
conference   : SIGGRAPH 2010, Los Angeles, USA, 25-29 July, 2010
pages        : 39:1-39:10
year         : 2010
month        : July
title        : Unified Simulation of Elastic Rods, Shells, and Solids
subtitle     :
author       : Sebastian Martin, Peter Kaufmann, Mario Botsch, Eitan Grinspun, Markus Gross
booktitle    : Proceedings of ACM SIGGRAPH 2010
ISSN/ISBN    :
editor       : 
publisher    :
publ.place   :
volume       : 29
issue        : 3
language     : english
keywords     : Physically-Based Simulation, Meshless, Solids, Shells, Rods
abstract     : We develop an accurate, unified treatment of elastica. Following the method of resultant-based formulation to its logical extreme, we derive a higher-order integration rule, or elaston, measuring stretching, shearing, bending, and twisting along any axis. The theory and accompanying implementation do not distinguish between forms of different dimension (solids, shells, rods), nor between manifold regions and non-manifold junctions. Consequently, a single code accurately models a diverse range of elastoplastic behaviors, including buckling, writhing, cutting and merging. Emphasis on convergence to the continuum sets us apart from early unification efforts.