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On the Equilibrium of Simplicial Masonry Structures

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.
Keywords : Masonry Structures
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Submitted on : Monday, May 27, 2013 - 4:28:44 PM
Last modification on : Wednesday, January 6, 2021 - 4:10:05 PM
Long-term archiving on: : Wednesday, August 28, 2013 - 4:11:25 AM


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  • HAL Id : hal-00826280, version 1



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⟩



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