Effects of the local resonance on the wave propagation in periodic frame structures: generalized Newtonian mechanics.
暂无分享,去创建一个
[1] Yun Lai,et al. Effective medium theory for elastic metamaterials in two dimensions , 2007 .
[2] P. Sheng,et al. Analytic model of phononic crystals with local resonances , 2005 .
[3] M. Born,et al. Wave Propagation in Periodic Structures , 1946, Nature.
[4] R. V. Craster,et al. High-frequency homogenization for periodic media , 2010, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.
[5] Claude Boutin,et al. Acoustic absorption of porous surfacing with dual porosity , 1998 .
[6] N. Fleck,et al. Wave propagation in two-dimensional periodic lattices. , 2006, The Journal of the Acoustical Society of America.
[7] J. Auriault,et al. Dynamic behaviour of porous media saturated by a viscoelastic fluid. Application to bituminous concretes , 1990 .
[8] P. Sheng,et al. Focusing of sound in a 3D phononic crystal. , 2004, Physical review letters.
[9] Julius Kaplunov,et al. HIGH FREQUENCY ASYMPTOTICS, HOMOGENIZATION AND LOCALIZATION FOR LATTICES , 2010 .
[10] Claude Boutin,et al. Wave propagation and diffraction in discrete structures: Effect of anisotropy and internal resonance , 2007 .
[11] Sheng,et al. Locally resonant sonic materials , 2000, Science.
[12] E. S. Palencia. Non-Homogeneous Media and Vibration Theory , 1980 .
[13] C. Boutin,et al. Homogenisation of periodic discrete medium: Application to dynamics of framed structures , 2003 .
[14] Raddouane Chiheb,et al. Structures réticulées renforcées en élasticité , 1998 .
[15] N. Bakhvalov,et al. Homogenisation: Averaging Processes in Periodic Media , 1989 .
[16] Claude Boutin,et al. Deformable porous media with double porosity. Quasi-statics. II: Memory effects , 1993 .
[17] Gengkai Hu,et al. Experimental study on negative effective mass in a 1D mass–spring system , 2008 .
[18] Stéphane Hans,et al. DYNAMICS OF DISCRETE FRAMED STRUCTURES: A UNIFIED HOMOGENIZED DESCRIPTION , 2008 .
[19] Andrei V. Metrikine,et al. Mechanics of generalized continua : one hundred years after the Cosserats , 2010 .
[20] A. Bensoussan,et al. Asymptotic analysis for periodic structures , 1979 .
[21] M. Biot. Theory of Propagation of Elastic Waves in a Fluid-Saturated Porous Solid. II. Higher Frequency Range , 1956 .
[22] Michel Potier-Ferry,et al. Evaluation of continuous modelings for the modulated vibration modes of long repetitive structures , 2007 .
[23] D. M. Mead,et al. WAVE PROPAGATION IN CONTINUOUS PERIODIC STRUCTURES: RESEARCH CONTRIBUTIONS FROM SOUTHAMPTON, 1964–1995 , 1996 .
[24] I. Andrianov. The specific features of the limiting transition from a discrete elastic medium to a continuous one , 2002 .
[25] Claude Boutin,et al. Acoustic wave propagation in double porosity media. , 2003, The Journal of the Acoustical Society of America.
[26] J. Auriault. Dynamic behaviour of a porous medium saturated by a newtonian fluid , 1980 .
[27] C. Boutin,et al. Structural Dynamics and Generalized Continua , 2011 .
[28] Ahmed K. Noor,et al. Continuum Modeling for Repetitive Lattice Structures , 1988 .
[29] V. Zhikov,et al. On an extension of the method of two-scale convergence and its applications , 2000 .
[30] N. S. Bardell,et al. The response of two-dimensional periodic structures to harmonic point loading : A theoretical and experimental study of a beam grillage , 1997 .
[31] Per-Gunnar Martinsson,et al. VIBRATIONS OF LATTICE STRUCTURES AND PHONONIC BAND GAPS , 2003 .
[32] Василий Васильевич Жиков,et al. Об одном расширении и применении метода двухмасштабной сходимости@@@On an extension of the method of two-scale convergence and its applications , 2000 .
[33] Z. P. BAZANTt,et al. ANALOGY BETWEEN MICROPOLAR CONTINUUM AND GRID FRAMEWORKS UNDER INITIAL STRESS , 2022 .
[34] Claude Boutin,et al. Rayleigh scattering in elastic composite materials , 1993 .
[35] Massimo Ruzzene,et al. Wave beaming effects in two-dimensional cellular structures , 2003 .
[36] J. Auriault. Effective macroscopic description for heat conduction in periodic composites , 1983 .
[37] Graeme W Milton,et al. On modifications of Newton's second law and linear continuum elastodynamics , 2007, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.
[38] D. Caillerie,et al. Continuous modeling of lattice structures by homogenization , 1998 .
[39] An Asymptotic Study of the Linear Vibrations of a Stretched Beam with Concentrated Masses and Discrete Elastic Supports , 1999 .