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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Journal articles
ACM Transactions on Graphics, Association for Computing Machinery, 2013, Proceedings of SIGGRAPH, 32 (4)
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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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