8 citations · 28 across the 11 of their papers we have counts for
12 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…
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 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…
A Bisection Method to Solve The Elvis Problem With Convex Bounded Velocity Sets
Clinten A. Graham, Frederic Marazzato, Peter R. Wolenski
The Elvis problem has been studied in [2], which proves existence of solutions. However, their computation in the non-smooth case remains unsolved. A bisection method is proposed t…
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…
A DG/CR discretization for the variational phase-field approach to fracture
Frederic Marazzato, Blaise Bourdin
Variational phase-field models of fracture are widely used to simulate nucleation and propagation of cracks in brittle materials. They are based on the approximation of the solutio…
-conformal approximation of Miura surfaces
Frederic Marazzato
The Miura ori is a very classical origami pattern used in numerous applications in Engineering. A study of the shapes that surfaces using this pattern can assume is still lacking.…
A variational discrete element method for the computation of Cosserat elasticity
Frédéric Marazzato
The variational discrete element method developed in [28] for dynamic elasto-plastic computations is adapted to compute the deformation of elastic Cosserat materials. In addition t…
Quasi-static crack propagation with a Griffith criterion using a variational discrete element method
Frédéric Marazzato, Alexandre Ern, Laurent Monasse
A variational discrete element method is applied to simulate quasi-static crack propagation. Cracks are considered to propagate between the mesh cells through the mesh facets. The…
An explicit pseudo-energy conserving time-integration scheme for Hamiltonian dynamics
Frédéric Marazzato, Alexandre Ern, Christian Mariotti +1
We propose a new explicit pseudo-energy and momentum conserving scheme for the time integration of Hamiltonian systems. The scheme, which is formally second-order accurate, is base…
A variational discrete element method for quasi-static and dynamic elasto-plasticity
Frédéric Marazzato, Alexandre Ern, Laurent Monasse
We propose a new discrete element method supporting general polyhedral meshes. The method can be understood as a lowest-order discontinuous Galerkin method parametrized by the cont…