5 papers
Proximal Galerkin for the isometry constraint
Brendan Keith, Frédéric Marazzato
We resolve a longstanding open problem in the computational modeling of nonlinear plates by introducing a numerical method that exactly enforces the isometry constraint, namely, th…
Computation of stresses in jammed packings modeled with Tresca friction
Frédéric Marazzato, Shankar Venkataramani
This paper is interested in the computation of stresses within jammed packings of rigid polygonal cells. The cells are considered to follow a Tresca friction law. First, a constrai…
Computation of the deformation of rhombi-slit kirigami
Frederic Marazzato
Kirigami are part of the larger class of mechanical metamaterials, which exhibit exotic properties. This article focuses on rhombi-slits, which is a specific type of kirigami. A no…
Modeling and computation of the effective elastic behavior of parallelogram origami metamaterials
Hu Xu, Frederic Marazzato, Paul Plucinsky
Origami metamaterials made of repeating unit cells of parallelogram panels joined at folds dramatically change their shape through a collective motion of their cells. Here we devel…
Computation of Miura surfaces with gradient Dirichlet boundary conditions
Frederic Marazzato
Miura surfaces are the solutions of a constrained nonlinear elliptic system of equations. This system is derived by homogenization from the Miura fold, which is a type of origami f…