4 papers
Homogenized moderately wrinkled shell theory from 3D Koiter's linear elasticity
Pedro Hernández-Llanos, Rajesh Mahadevan, Ravi Prakash
In this paper we derive, by twoscale convergence, periodically wrinked shell models starting from three dimensional linear elasticity, depending of the behaviour of the small pa…
Kirchhoff-type equations involving the Fractional Laplacian
Lisbeth Carrero, Pedro Hernández-Llanos
In this paper, we study the existence and nonexistence of solutions for the following Kirchhoff-type fractional -Laplacian problem: \begin{equation*} \begin{cases} M\…
Junction of ferroelectric thin cylinders
Luisa Faella, Pedro Hernández-Llanos, Ravi Prakash
In this paper, starting from a non-convex and nonlocal variational model for the electric polarization in a ferroelectric material, and using an asymptotic process based on di…
A homogenization bending shell theory for multiscale materials from nonlinear elasticity
Tiziana Durante, Luisa Faella, Pedro Hernández-Llanos +1
We derive homogenized bending shell theories starting from three dimensional nonlinear elasticity. The original three dimensional model contains three small parameters: the two hom…