Buckling modes in pantographic lattices

Homogenization à la Piola produces second gradient continuum models for linear pantographic lattices

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Defect modes in one-dimensional photonic lattices.

Linear defect modes in one-dimensional photonic lattices are studied theoretically. For negative (repulsive) defects, various localized defect modes are found. The strongest confinement of the defect modes appears when the lattice intensity at the defect site is nonzero rather than zero. When launched at small angles into such a defect site of the lattice, a Gaussian beam can be trapped and und...

Breatherlike impurity modes in discrete nonlinear lattices.

Three-dimensional instabilities of pantographic sheets with parabolic lattices: numerical investigations

In this paper, we determine numerically a large class of equilibrium configurations of an elastic two-dimensional continuous pantographic sheet in three-dimensional deformation consisting of two families of fibers which are parabolic prior to deformation. The fibers are assumed: i) to be continuously distributed over the sample, ii) to be endowed of bending and torsional sti↵nesses and iii) tie...

Localization of buckling modes in plates and laminates

Article history: Available online 30 September 2014 This paper is dedicated to the memory of the late Professor Himanshu Hatwal, Department of Mechanical Engineering, IIT Kanpur, India.