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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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https://hal.inria.fr/hal-00826280
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Submitted on : Monday, May 27, 2013 - 4:28:44 PM
Last modification on : Friday, November 18, 2022 - 9:25:46 AM
Long-term archiving on: : Wednesday, August 28, 2013 - 4:11:25 AM

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  • HAL Id : hal-00826280, version 1

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Fernando de Goes, Pierre Alliez, Houman Owhadi, Mathieu Desbrun. On the Equilibrium of Simplicial Masonry Structures. ACM Transactions on Graphics, 2013, Proceedings of SIGGRAPH, 32 (4). ⟨hal-00826280⟩

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