메뉴 건너뛰기




Volumn 50, Issue 11-12, 2013, Pages 1981-1990

Dispersive waves in microstructured solids

Author keywords

Dispersion; Microstructured solids; Wave propagation

Indexed keywords

DISPERSION ANALYSIS; DISPERSIVE WAVES; EULER-LAGRANGE FORMALISM; EXTERNAL LOADING; GOVERNING EQUATIONS; INTERNAL VARIABLES; MICROSTRUCTURED SOLIDS; PHYSICAL EFFECTS;

EID: 84876128092     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2013.02.018     Document Type: Article
Times cited : (64)

References (47)
  • 2
    • 57849131284 scopus 로고    scopus 로고
    • Four simplified gradient elasticity models for the simulation of dispersive wave propagation
    • H. Askes, A.V. Metrikine, A.V. Pichugin, and T. Bennett Four simplified gradient elasticity models for the simulation of dispersive wave propagation Philos. Mag. 88 2008 3415 3443
    • (2008) Philos. Mag. , vol.88 , pp. 3415-3443
    • Askes, H.1    Metrikine, A.V.2    Pichugin, A.V.3    Bennett, T.4
  • 3
    • 79960260902 scopus 로고    scopus 로고
    • Waves in microstructured solids: A unified viewpoint of modeling
    • A. Berezovski, J. Engelbrecht, and M. Berezovski Waves in microstructured solids: a unified viewpoint of modeling Acta Mech. 220 2011 349 363
    • (2011) Acta Mech. , vol.220 , pp. 349-363
    • Berezovski, A.1    Engelbrecht, J.2    Berezovski, M.3
  • 5
    • 79751534765 scopus 로고    scopus 로고
    • Generalized thermomechanics with dual internal variables
    • A. Berezovski, J. Engelbrecht, and G.A. Maugin Generalized thermomechanics with dual internal variables Arch. Appl. Mech. 81 2011 229 240
    • (2011) Arch. Appl. Mech. , vol.81 , pp. 229-240
    • Berezovski, A.1    Engelbrecht, J.2    Maugin, G.A.3
  • 7
    • 0001173662 scopus 로고
    • Über Schwingungen in Raumgittern
    • M. Born, and T. von Kármán Über Schwingungen in Raumgittern Phys. Z. 13 1912 297 309
    • (1912) Phys. Z. , vol.13 , pp. 297-309
    • Born, M.1    Von Kármán, T.2
  • 9
    • 0000258643 scopus 로고    scopus 로고
    • A dispersive model for wave propagation in periodic heterogeneous media based on homogenization with multiple spatial and temporal scales
    • W. Chen, and J. Fish A dispersive model for wave propagation in periodic heterogeneous media based on homogenization with multiple spatial and temporal scales J. Appl. Mech. Trans. ASME 68 2001 153 161 (Pubitemid 33715880)
    • (2001) Journal of Applied Mechanics, Transactions ASME , vol.68 , Issue.2 , pp. 153-161
    • Chen, W.1    Fish, J.2
  • 10
    • 1542347681 scopus 로고    scopus 로고
    • Atomistic viewpoint of the applicability of microcontinuum theories
    • DOI 10.1016/j.ijsolstr.2003.11.030, PII S0020768303006796
    • Y. Chen, J.D. Lee, and A. Eskandarian Atomistic viewpoint of the applicability of microcontinuum theories Int. J. Solids Struct. 41 2004 2085 2097 (Pubitemid 38319481)
    • (2004) International Journal of Solids and Structures , vol.41 , Issue.8 , pp. 2085-2097
    • Chen, Y.1    Lee, J.D.2    Eskandarian, A.3
  • 11
    • 35549003144 scopus 로고    scopus 로고
    • On Boussinesq's paradigm in nonlinear wave propagation
    • DOI 10.1016/j.crme.2007.08.006, PII S1631072107001416
    • C.I. Christov, G.A. Maugin, and A.V. Porubov On Boussinesq's paradigm in nonlinear wave propagation C.R. Mec. 335 2007 521 535 (Pubitemid 350001275)
    • (2007) Comptes Rendus - Mecanique , vol.335 , Issue.9-10 , pp. 521-535
    • Christov, C.I.1    Maugin, G.A.2    Porubov, A.V.3
  • 13
    • 31444432791 scopus 로고    scopus 로고
    • Waves in microstructured materials and dispersion
    • DOI 10.1080/14786430500362769, PII N77386151228740
    • J. Engelbrecht, A. Berezovski, F. Pastrone, and M. Braun Waves in microstructured materials and dispersion Philos. Mag. 85 2005 4127 4141 (Pubitemid 43149126)
    • (2005) Philosophical Magazine , vol.85 , Issue.33-35 , pp. 4127-4141
    • Engelbrecht, J.1    Berezovski, A.2    Pastrone, F.3    Braun, M.4
  • 15
    • 80755153780 scopus 로고    scopus 로고
    • Waves in microstructured solids and the Boussinesq paradigm
    • J. Engelbrecht, A. Salupere, and K. Tamm Waves in microstructured solids and the Boussinesq paradigm Wave Motion 48 2011 717 726
    • (2011) Wave Motion , vol.48 , pp. 717-726
    • Engelbrecht, J.1    Salupere, A.2    Tamm, K.3
  • 16
    • 50549197415 scopus 로고
    • Nonlinear theory of simple microelastic solids i & II
    • A.C. Eringen, and E.S. Suhubi Nonlinear theory of simple microelastic solids I & II Int. J. Eng. Sci. 2 189-203 1964 389 404
    • (1964) Int. J. Eng. Sci. , vol.2 , Issue.189-203 , pp. 389-404
    • Eringen, A.C.1    Suhubi, E.S.2
  • 17
    • 33745905282 scopus 로고    scopus 로고
    • Generalized mathematical homogenization of atomistic media at finite temperatures
    • J. Fish, W. Chen, and Y. Tang Generalized mathematical homogenization of atomistic media at finite temperatures Int. J. Multiscale Comput. Eng. 3 2005 393 413
    • (2005) Int. J. Multiscale Comput. Eng. , vol.3 , pp. 393-413
    • Fish, J.1    Chen, W.2    Tang, Y.3
  • 18
    • 60949094606 scopus 로고    scopus 로고
    • Mathematical homogenization of nonperiodic heterogeneous media subjected to large deformation transient loading
    • J. Fish, and R. Fan Mathematical homogenization of nonperiodic heterogeneous media subjected to large deformation transient loading Int. J. Numer. Methods Eng. 76 2008 1044 1064
    • (2008) Int. J. Numer. Methods Eng. , vol.76 , pp. 1044-1064
    • Fish, J.1    Fan, R.2
  • 19
    • 60649093107 scopus 로고    scopus 로고
    • Micromorphic approach for gradient elasticity, viscoplasticity and damage
    • S. Forest Micromorphic approach for gradient elasticity, viscoplasticity and damage ASCE J. Eng. Mech. 135 2009 117 131
    • (2009) ASCE J. Eng. Mech. , vol.135 , pp. 117-131
    • Forest, S.1
  • 20
    • 79953666122 scopus 로고    scopus 로고
    • Characterization of heterogeneous solids via wave methods in computational microelasticity
    • S. Gonella, M.S. Greene, and W.K. Liu Characterization of heterogeneous solids via wave methods in computational microelasticity J. Mech. Phys. Solids 59 2011 959 974
    • (2011) J. Mech. Phys. Solids , vol.59 , pp. 959-974
    • Gonella, S.1    Greene, M.S.2    Liu, W.K.3
  • 21
    • 57249111745 scopus 로고    scopus 로고
    • A higher-order continuum model for elastic media with multiphased microstructure
    • G.L. Huang, and C.T. Sun A higher-order continuum model for elastic media with multiphased microstructure Mech. Adv. Mater. Struct. 15 2008 550 557
    • (2008) Mech. Adv. Mater. Struct. , vol.15 , pp. 550-557
    • Huang, G.L.1    Sun, C.T.2
  • 23
    • 19944387638 scopus 로고    scopus 로고
    • Solitary waves in nonlinear microstructured materials
    • DOI 10.1088/0305-4470/38/23/006, PII S0305447005875833
    • J. Janno, and J. Engelbrecht Solitary waves in nonlinear microstructured materials J. Phys. A: Math. Gen. 38 2005 5159 5172 (Pubitemid 40759123)
    • (2005) Journal of Physics A: Mathematical and General , vol.38 , Issue.23 , pp. 5159-5172
    • Janno, J.1    Engelbrecht, J.2
  • 24
    • 67149123795 scopus 로고    scopus 로고
    • Nonlinear layered lattice model ans generalized solitary waves in imperfectly bonded structures
    • K.R. Khusnutdinova, A.M. Samsonov, and A.S. Zakharov Nonlinear layered lattice model ans generalized solitary waves in imperfectly bonded structures Phys. Rev. E 79 2009 056606
    • (2009) Phys. Rev. e , vol.79 , pp. 056606
    • Khusnutdinova, K.R.1    Samsonov, A.M.2    Zakharov, A.S.3
  • 25
    • 34347372607 scopus 로고    scopus 로고
    • A novel atomistic approach to determine strain-gradient elasticity constants: Tabulation and comparison for various metals, semiconductors, silica, polymers and the (Ir) relevance for nanotechnologies
    • DOI 10.1016/j.jmps.2007.02.011, PII S0022509607000397
    • R. Maranganti, and P. Sharma A novel atomistic approach to determine strain-gradient elasticity constants: Tabulation and comparison for various metals, semiconductors, silica, polymers and the (Ir) relevance for nanotechnologies J. Mech. Phys. Solids 55 2007 1823 1852 (Pubitemid 47021162)
    • (2007) Journal of the Mechanics and Physics of Solids , vol.55 , Issue.9 , pp. 1823-1852
    • Maranganti, R.1    Sharma, P.2
  • 26
    • 84867922569 scopus 로고    scopus 로고
    • Cracks in complex bodies: Covariance of tip balances
    • P.M. Mariano Cracks in complex bodies: covariance of tip balances J. Nonlinear Sci. 18 2008 99 141
    • (2008) J. Nonlinear Sci. , vol.18 , pp. 99-141
    • Mariano, P.M.1
  • 27
    • 0002727103 scopus 로고
    • On some generalizations of Boussinesq and KdV systems
    • G.A. Maugin On some generalizations of Boussinesq and KdV systems Proc. Est. Acad. Sci. Phys. Mat. 44 1995 40 55
    • (1995) Proc. Est. Acad. Sci. Phys. Mat. , vol.44 , pp. 40-55
    • Maugin, G.A.1
  • 29
    • 33747351012 scopus 로고    scopus 로고
    • On causality of the gradient elasticity models
    • A.V. Metrikine On causality of the gradient elasticity models J. Sound Vib. 297 2006 727 742
    • (2006) J. Sound Vib. , vol.297 , pp. 727-742
    • Metrikine, A.V.1
  • 30
    • 0012686118 scopus 로고    scopus 로고
    • One-dimensional dynamically consistent gradient elasticity models derived from a discrete microstructure. Part 1: Generic formulation
    • A.V. Metrikine, and H. Askes One-dimensional dynamically consistent gradient elasticity models derived from a discrete microstructure. Part 1: Generic formulation Eur. J. Mech. A/Solids 21 2002 555 572
    • (2002) Eur. J. Mech. A/Solids , vol.21 , pp. 555-572
    • Metrikine, A.V.1    Askes, H.2
  • 31
    • 0040366845 scopus 로고
    • Micro-structure in linear elasticity
    • R.D. Mindlin Micro-structure in linear elasticity Arch. Rat. Mech. Anal. 16 1964 51 78
    • (1964) Arch. Rat. Mech. Anal. , vol.16 , pp. 51-78
    • Mindlin, R.D.1
  • 32
    • 69249220198 scopus 로고    scopus 로고
    • Wave dispersion in gradient elastic solids and structures: A unified treatment
    • S. Papargyri-Beskou, D. Polyzos, and D.E. Beskos Wave dispersion in gradient elastic solids and structures: a unified treatment Int. J. Solids Struct. 46 2009 3751 3759
    • (2009) Int. J. Solids Struct. , vol.46 , pp. 3751-3759
    • Papargyri-Beskou, S.1    Polyzos, D.2    Beskos, D.E.3
  • 33
    • 77956672932 scopus 로고    scopus 로고
    • Hierarchy structures in complex solids with micro scales
    • F. Pastrone Hierarchy structures in complex solids with micro scales Proc. Est. Acad. Sci. 59 2010 79 86
    • (2010) Proc. Est. Acad. Sci. , vol.59 , pp. 79-86
    • Pastrone, F.1
  • 34
    • 84876147995 scopus 로고    scopus 로고
    • Theses of Tallinn University of Technology B, Thesis on natural and exact sciences, TUT Press, Tallinn
    • Peets, T.; 2011. Dispersion analysis of wave motion in microstructured solids. Theses of Tallinn University of Technology B, Thesis on natural and exact sciences, TUT Press, Tallinn, 121 pp.
    • (2011) Dispersion Analysis of Wave Motion in Microstructured Solids , pp. 121
    • Peets, T.1
  • 35
    • 40649120961 scopus 로고    scopus 로고
    • On modelling dispersion in microstructured solids
    • DOI 10.1016/j.wavemoti.2007.09.006, PII S016521250700100X
    • T. Peets, M. Randrüüt, and J. Engelbrecht On modelling dispersion in microstructured solids Wave Motion 45 2008 471 480 (Pubitemid 351372879)
    • (2008) Wave Motion , vol.45 , Issue.4 , pp. 471-480
    • Peets, T.1    Randruut, M.2    Engelbrecht, J.3
  • 38
    • 77649339295 scopus 로고    scopus 로고
    • On one-dimensional solitary waves in microstructured solids
    • M. Randrüüt, and M. Braun On one-dimensional solitary waves in microstructured solids Wave Motion 47 2010 217 230
    • (2010) Wave Motion , vol.47 , pp. 217-230
    • Randrüüt, M.1    Braun, M.2
  • 39
    • 39949083020 scopus 로고    scopus 로고
    • Numerical simulation of interaction of solitary deformation waves in microstructured solids
    • A. Salupere, K. Tamm, and J. Engelbrecht Numerical simulation of interaction of solitary deformation waves in microstructured solids Int. J. Nonlinear Mech. 43 2008 201 208
    • (2008) Int. J. Nonlinear Mech. , vol.43 , pp. 201-208
    • Salupere, A.1    Tamm, K.2    Engelbrecht, J.3
  • 41
    • 0026204381 scopus 로고
    • Dispersive effective medium for wave propagation in periodic composites
    • F. Santosa, and W.W. Symes A dispersive effective medium for wave propagation in periodic composites SIAM J. Appl. Math. 51 1991 984 1005 (Pubitemid 21697543)
    • (1991) SIAM Journal on Applied Mathematics , vol.51 , Issue.4 , pp. 984-1005
    • Santosa Fadil1    Symes William, W.2
  • 44
    • 79955437110 scopus 로고    scopus 로고
    • Micromorphic theory: A gateway to nano world
    • X. Wang, and J.D. Lee Micromorphic theory: a gateway to nano world Int. J. Smart Nano Mater. 1 2010 115 135
    • (2010) Int. J. Smart Nano Mater. , vol.1 , pp. 115-135
    • Wang, X.1    Lee, J.D.2
  • 45
    • 0036819189 scopus 로고    scopus 로고
    • Modeling micro-inertia in heterogeneous materials under dynamic loading
    • DOI 10.1016/S0165-2125(02)00037-9, PII S0165212502000379
    • Z.-P. Wang, and C.T. Sun Modeling micro-inertia in heterogeneous materials under dynamic loading Wave Motion 36 2002 473 485 (Pubitemid 36017204)
    • (2002) Wave Motion , vol.36 , Issue.4 , pp. 473-485
    • Wang, Z.-P.1    Sun, C.T.2
  • 47
    • 33750682672 scopus 로고    scopus 로고
    • Determining material constants in nonlocal micromorphic theory through phonon dispersion relations
    • DOI 10.1016/j.ijengsci.2006.08.002, PII S002072250600156X
    • X. Zeng, Y. Chen, and J.D. Lee Determining material constants in nonlocal micromorphic theory through phonon dispersion relations Int. J. Eng. Sci. 44 2006 1334 1345 (Pubitemid 44709017)
    • (2006) International Journal of Engineering Science , vol.44 , Issue.18-19 , pp. 1334-1345
    • Zeng, X.1    Chen, Y.2    Lee, J.D.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.