Abstract. Local resonant metamaterials are a class of microstructured man-made material which attenuate the propagation waves in certain frequency ranges, known as band gaps. In this work, we study through asymptotic homogenization anti-plane shear wave metamaterial with stiff matrix and soft inclusions, periodically distributed, present hierarchical geometry. Band gaps then analytically predic...

many metal forming problems have been solved using the slip line field method but all of them have either been two-dimensional (plane strain or plain stress) or axisymmetric problems. in this paper a procedure has been proposed by which the slip line field solution to three dimensional problems of metal forming becomes possible. for this purpose the extrusion of shaped sections has been taken a...

In this paper, an all-fiber laser feedback interferometer (LFI) with a diffraction grating was developed for sequential measurement of in-plane and out-of-plane displacements without changing the optical arrangement. When light emitted from erbium-doped fiber ring is incident on reflection at Littrow angle, diffracted will return into cavity along original path, thus generating interference. Ex...

A direct method is proposed to study wave dispersion in stiff unidirectional fiber-reinforced elastic random composites. The present model featured by a modified form of classical elastodynamic equations supplied with simple differential relation between the displacement field composite and mass center representative cell. Explicit formulas are derived for attenuation coefficient effective phas...