Dynamic homogenization of resonant elastic metamaterials with space/time modulation

[1]  C. Oskay,et al.  Spatial–temporal nonlocal homogenization model for transient anti-plane shear wave propagation in periodic viscoelastic composites , 2018, Computer Methods in Applied Mechanics and Engineering.

[2]  Stefano Gonella,et al.  Exploring heterogeneity and disorder In tunable elastic metamaterials , 2018 .

[3]  C. Reina,et al.  Broadband locally resonant metamaterials with graded hierarchical architecture , 2018 .

[4]  C. Reina,et al.  Variational coarse-graining procedure for dynamic homogenization , 2017 .

[5]  M. Haberman,et al.  Non-reciprocal wave propagation in modulated elastic metamaterials , 2017, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[6]  M. Ruzzene,et al.  A Bloch-based procedure for dispersion analysis of lattices with periodic time-varying properties , 2017, 1702.01728.

[7]  P. Papadopoulos,et al.  Homogenization of high-frequency wave propagation in linearly elastic layered media using a continuum Irving-Kirkwood theory , 2016 .

[8]  J. Schröder,et al.  Algorithmic two-scale transition for magneto-electro-mechanically coupled problems , 2016 .

[9]  C. Reina,et al.  Discrete averaging relations for micro to macro transition , 2015, 1509.06621.

[10]  Chiara Daraio,et al.  Wide band-gap seismic metastructures , 2015 .

[11]  Vincent Laude,et al.  Phononic Crystals: Artificial Crystals for Sonic, Acoustic, and Elastic Waves , 2015 .

[12]  Nader Engheta,et al.  NEMS With Broken T Symmetry: Graphene Based Unidirectional Acoustic Transmission Lines , 2015, Scientific Reports.

[13]  N. Auffray,et al.  Willis elastodynamic homogenization theory revisited for periodic media , 2015 .

[14]  M. Hussein,et al.  Dispersion characteristics of a nonlinear elastic metamaterial , 2014 .

[15]  M. Ruzzene,et al.  Dynamics of Phononic Materials and Structures: Historical Origins, Recent Progress, and Future Outlook , 2014 .

[16]  C. Sun,et al.  A chiral elastic metamaterial beam for broadband vibration suppression , 2014 .

[17]  Steven A Cummer,et al.  Non-reciprocal and highly nonlinear active acoustic metamaterials , 2014, Nature Communications.

[18]  R. Fleury,et al.  Sound Isolation and Giant Linear Nonreciprocity in a Compact Acoustic Circulator , 2014, Science.

[19]  James M. Manimala,et al.  Microstructural design studies for locally dissipative acoustic metamaterials , 2014 .

[20]  P. Steinmann,et al.  Computational homogenization in magneto-mechanics , 2013 .

[21]  Mehdi B. Zanjani,et al.  One-way phonon isolation in acoustic waveguides , 2013, 1312.0082.

[22]  Marc G. D. Geers,et al.  Transient computational homogenization for heterogeneous materials under dynamic excitation , 2013 .

[23]  A. To,et al.  Broadband wave filtering of bioinspired hierarchical phononic crystal , 2013 .

[24]  Michael Ortiz,et al.  A micromechanical model of distributed damage due to void growth in general materials and under general deformation histories , 2013 .

[25]  Xiaoyong Tian,et al.  Vibration energy harvesting using a phononic crystal with point defect states , 2013 .

[26]  Michael J. Frazier,et al.  Metadamping: An emergent phenomenon in dissipative metamaterials , 2012, 1206.4577.

[27]  Mahmoud I. Hussein,et al.  Band structure of phononic crystals with general damping , 2010 .

[28]  René de Borst,et al.  Computational homogenization for adhesive and cohesive failure in quasi‐brittle solids , 2010 .

[29]  T. Bieler,et al.  Overview of constitutive laws, kinematics, homogenization and multiscale methods in crystal plasticity finite-element modeling: Theory, experiments, applications , 2010 .

[30]  Hamid Zahrouni,et al.  A multilevel computational strategy for handling microscopic and macroscopic instabilities , 2009 .

[31]  Stefano Gonella,et al.  Interplay between phononic bandgaps and piezoelectric microstructures for energy harvesting , 2009 .

[32]  W. Brekelmans,et al.  FE2 computational homogenization for the thermo-mechanical analysis of heterogeneous solids , 2008 .

[33]  Huanyang Chen,et al.  Acoustic cloaking in three dimensions using acoustic metamaterials , 2007 .

[34]  W. Bangerth,et al.  deal.II—A general-purpose object-oriented finite element library , 2007, TOMS.

[35]  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.

[36]  S. Cummer,et al.  One path to acoustic cloaking , 2007 .

[37]  Peter Wriggers,et al.  An Introduction to Computational Micromechanics , 2004 .

[38]  Christian Miehe,et al.  Computational homogenization analysis in finite elasticity: material and structural instabilities on the micro- and macro-scales of periodic composites and their interaction , 2002 .

[39]  M. Lambrecht,et al.  Homogenization of inelastic solid materials at finite strains based on incremental minimization principles. Application to the texture analysis of polycrystals , 2002 .

[40]  Jacob Fish,et al.  Non‐local dispersive model for wave propagation in heterogeneous media: one‐dimensional case , 2002 .

[41]  Alain Molinari,et al.  Micromechanical modelling of porous materials under dynamic loading , 2001 .

[42]  Sheng,et al.  Locally resonant sonic materials , 2000, Science.

[43]  Michael Ortiz,et al.  Error estimation and adaptive meshing in strongly nonlinear dynamic problems , 1999 .

[44]  J. Schröder,et al.  Computational homogenization analysis in finite plasticity Simulation of texture development in polycrystalline materials , 1999 .

[45]  M. Ortiz,et al.  The variational formulation of viscoplastic constitutive updates , 1999 .

[46]  T. Belytschko,et al.  Computational Methods for Transient Analysis , 1985 .

[47]  Guoliang Huang,et al.  Modulated phononic crystals: Non-reciprocal wave propagation and Willis materials , 2017 .

[48]  Celia Romo.  Multiscale Modeling and Simulation of Damage by Void Nucleation and Growth , 2011 .

[49]  Ole Sigmund,et al.  Systematic Design of Metamaterials by Topology Optimization , 2009 .

[50]  P. Steinmann,et al.  On the Multiscale Computation of Defect Driving Forces , 2009 .

[51]  M. Dokainish,et al.  A survey of direct time-integration methods in computational structural dynamics—I. Explicit methods , 1989 .

[52]  Thomas J. R. Hughes,et al.  Implicit-explicit finite elements in nonlinear transient analysis , 1979 .

[53]  Nathan M. Newmark,et al.  A Method of Computation for Structural Dynamics , 1959 .