1CS CALTECH - Computer Science Department (Computer Science Department California Institute of Technology 1200 E. California Boulevard MC 256-80 Pasadena, CA 91125 USA - United States)
Abstract : We present a novel approach for the analysis and design of selfsupporting simplicial masonry structures. A finite-dimensional formulation of their compressive stress field is derived, offering a new interpretation of thrust networks through numerical homogenization theory. We further leverage geometric properties of the resulting force diagram to identify a set of reduced coordinates characterizing the equilibrium of simplicial masonry. We finally derive computational form-finding tools that improve over previous work in efficiency, accuracy, and scalability.
https://hal.inria.fr/hal-00826280
Contributor : Pierre Alliez <>
Submitted on : Monday, May 27, 2013 - 4:28:44 PM
Last modification on : Monday, October 5, 2015 - 5:01:53 PM
Document(s) archivé(s) le : Wednesday, August 28, 2013 - 4:11:25 AM
Fernando De Goes, Pierre Alliez, Houman Owhadi, Mathieu Desbrun. On the Equilibrium of Simplicial Masonry Structures. ACM Transactions on Graphics, Association for Computing Machinery, 2013, Proceedings of SIGGRAPH, 32 (4). <hal-00826280>
