... Response of Finite-Length Beams With Periodic Parameters ,” J. Sound Vib. , 391 , pp. 180 – 193 . 10.1016/j.jsv.2016.12.011 [34] Hvatov , A. , and Sorokin , S. , 2015 , “ Free Vibrations of Finite Periodic Structures in Pass- and Stop-Bands of the Counterpart Infinite Waveguides ,” J...

... structures wave propagation periodic structure Bloch theorem unit cell Timoshenko beam theory Bragg scattering local resonance phononic crystals acoustic metamaterials Periodic materials and structures, including flexural beams, are receiving a lot of attention in the mechanics...

... thesis, Civil Engineering Department, University of Virginia, VA. Benssousan , A. , Lions , J.-L. , and Papanicolaou , G. , 1978 , Asymptotic Analysis for Periodic Structures , North-Holland , Amsterdam . Sanchez-Palencia , E. , 1980 , Non-Homogeneous Media and Vibration...

... problems elasticity finite element analysis Fourier analysis micromechanics periodic structures 27 09 2007 05 02 2008 17 07 2008 2008 American Society of Mechanical Engineers ...

... 06 2007 30 09 2007 11 07 2008 cracks fracture mechanics fracture toughness multilayers periodic structures stress analysis Stress analysis of heterogeneous materials is typically conducted at the so-called macroscopic scale upon replacing the actual microstructure...

... of the instabilities, and their dependence on micro-geometry and macroscopic loading conditions are presented and discussed. 09 02 2005 01 09 2005 failure (mechanical) periodic structures ductility honeycomb structures fibre reinforced composites buckling bifurcation elastic constants...

... publication of the paper itself in the ASME JOURNAL OF APPLIED MECHANICS . 31 Aug 2000 12 June 2001 periodic structures continuum mechanics stochastic processes thermal conductivity random media irreversible thermodynamics transforms free energy elasticity brittleness...

... for the undamaged materials, the macroscopic deformation associated with nonlinear strains, or damage strains, is shown to be the weighted sum of the microscopic deformations on the damage surfaces. For inhomogeneous materials with periodic structures (laminated composites, for example) and various identifiable...

... system. Li , D. , and Benaroya , H. , 1992 , “ Dynamics of Periodic and Near-Periodic Structures ,” ASME Appl. Mech. Rev. , 45 , pp. 447 – 459 . Nayfeh, A. H., and Mook, D. T., 1984, Nonlinear Oscillations , Wiley, New York. Vakakis, A. F., Manvetich, L. I., Mikhlin, Y. V...