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Journal Articles ACM Transactions on Graphics Year : 2013

On the Equilibrium of Simplicial Masonry Structures

Fernando de Goes
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  • PersonId : 873934
Pierre Alliez
Mathieu Desbrun


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.


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Dates and versions

hal-00826280 , version 1 (27-05-2013)


  • 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, 2013, Proceedings of SIGGRAPH, 32 (4). ⟨hal-00826280⟩


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