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Volumn 330, Issue 16, 2011, Pages 3973-3989

Wave propagation in 1D elastic solids in presence of long-range central interactions

Author keywords

[No Author keywords available]

Indexed keywords

APPLIED PRESSURE; APPROXIMATE ANALYTICAL SOLUTIONS; BODY FORCES; BOUNDED DOMAIN; CAUCHY STRESS; ELASTIC MODELS; ELASTIC POTENTIAL ENERGY; ELASTIC SOLIDS; ELASTICITY THEORY; GOVERNING EQUATIONS; HAMILTONIAN FUNCTIONAL; INTEGRAL MODEL; INTEGRAL THEORY; INTERACTING ELEMENTS; LONG RANGE INTERACTIONS; LONG-RANGE FORCES; MECHANICAL BOUNDARIES; NONLOCAL; NUMERICAL TREATMENTS; PRESSURE WAVES; SHAPE CHANGE; STANDING WAVE ANALYSIS; UNBOUNDED DOMAIN; VOLUME ELEMENTS; WAVE PROPAGATION PROBLEMS; WEAK FORMULATION;

EID: 79957542837     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2010.10.027     Document Type: Article
Times cited : (44)

References (33)
  • 2
    • 51249113024 scopus 로고
    • The relation between microscopic and macroscopic theories of elasticity
    • M. Lax The relation between microscopic and macroscopic theories of elasticity R.F. Wallis, Lattice Dynamics, Proceedings of Interantional Conference 1963 Pergamon Press London
    • (1963) Lattice Dynamics, Proceedings of Interantional Conference
    • Lax, M.1
  • 3
    • 49949143801 scopus 로고
    • Elasticity theory of materials with long-range cohesive forces
    • E. Kröner Elasticity theory of materials with long-range cohesive forces International Journal of Solids and Structures 3 1967 731 742
    • (1967) International Journal of Solids and Structures , vol.3 , pp. 731-742
    • Kröner, E.1
  • 5
    • 0002564873 scopus 로고
    • Some considerations of the relations between solid state physics and generalized continuum mechanics
    • Kröner Springer Verlag
    • J.A. Krumhanls Some considerations of the relations between solid state physics and generalized continuum mechanics Kröner Mechanics of Generalized Continua, Proceedings of the IUTAM Symposium 1967 Springer Verlag
    • (1967) Mechanics of Generalized Continua, Proceedings of the IUTAM Symposium
    • Krumhanls, J.A.1
  • 9
    • 0037343002 scopus 로고    scopus 로고
    • Update on a class of gradient theories
    • E.C. Aifantis Update on a class of gradient theories Mechanics of Materials 35 2003 259 280
    • (2003) Mechanics of Materials , vol.35 , pp. 259-280
    • Aifantis, E.C.1
  • 10
    • 0242490335 scopus 로고    scopus 로고
    • Gradient elasticity and nonstandard boundary conditions
    • DOI 10.1016/j.ijsolstr.2003.06.001
    • C. Polizzotto Gradient elasticity and non standard boundary conditions International Journal of Solids and Structures 40 2003 7399 7423 (Pubitemid 37418353)
    • (2003) International Journal of Solids and Structures , vol.40 , Issue.26 , pp. 7399-7423
    • Polizzotto, C.1
  • 11
    • 0035860410 scopus 로고    scopus 로고
    • Nonlocal elasticity and related variational principles
    • DOI 10.1016/S0020-7683(01)00039-7, PII S0020768301000397
    • C. Polizzotto Non local elasticity and related variational principles International Journal of Solids and Structures 38 2001 7359 7380 (Pubitemid 32889985)
    • (2001) International Journal of Solids and Structures , vol.38 , Issue.42-43 , pp. 7359-7380
    • Polizzotto, C.1
  • 14
    • 0001452092 scopus 로고
    • Linear theory of nonlocal elasticity and dispersion of plane waves
    • A.C. Eringen Linear theory of nonlocal elasticity and dispersion of plane waves International Journal of Engineering Science 10 1972 425 435
    • (1972) International Journal of Engineering Science , vol.10 , pp. 425-435
    • Eringen, A.C.1
  • 15
    • 43049123384 scopus 로고    scopus 로고
    • Variational formulations and a consistent finite-element procedure for a class of non-local elastic continua
    • F. Marotti De Sciarra Variational formulations and a consistent finite-element procedure for a class of non-local elastic continua International Journal of Solids and Structures 45 2008 4184 4202
    • (2008) International Journal of Solids and Structures , vol.45 , pp. 4184-4202
    • Marotti De Sciarra, F.1
  • 16
    • 0346055020 scopus 로고    scopus 로고
    • Reformulation of elasticity theory for discontinuities and long-range forces
    • S.A. Silling Reformulation of elasticity theory for discontinuities and long-range forces Journal of Mechanics and Physics of Solids 48 2000 175 209
    • (2000) Journal of Mechanics and Physics of Solids , vol.48 , pp. 175-209
    • Silling, S.A.1
  • 19
    • 0012686118 scopus 로고    scopus 로고
    • One-dimensional dynamically consistent gradient elasticity model derived from a discrete microstructure. Part 1: Generic formulation
    • A.V. Metrikine, and H. Askes One-dimensional dynamically consistent gradient elasticity model derived from a discrete microstructure. Part 1: generic formulation European Journal of Mechanics A/Solids 21 2002 555 572
    • (2002) European Journal of Mechanics A/Solids , vol.21 , pp. 555-572
    • Metrikine, A.V.1    Askes, H.2
  • 20
    • 0012716579 scopus 로고    scopus 로고
    • One-dimensional dynamically consistent gradient elasticity models derived from a discrete microstructure. Part 2: Static and dynamic response
    • A.V. Metrikine, and H. Askes One-dimensional dynamically consistent gradient elasticity models derived from a discrete microstructure. Part 2: static and dynamic response European Journal of Mechanics A/Solids 21 2002 573 588
    • (2002) European Journal of Mechanics A/Solids , vol.21 , pp. 573-588
    • Metrikine, A.V.1    Askes, H.2
  • 21
    • 0023209913 scopus 로고
    • Theory of nonlocal elasticity and some applications
    • A.C. Eringen Theory of nonlocal elasticity and some applications Research Mechanica 21 1987 313 342 (Pubitemid 17637331)
    • (1987) Res mechanica , vol.21 , Issue.4 , pp. 313-342
    • Eringen, A.C.1
  • 22
    • 0036918507 scopus 로고    scopus 로고
    • Propagation of SV waves in a periodically layered media in nonlocal
    • DOI 10.1016/S0020-7683(02)00476-6, PII S0020768302004766
    • R. Artan, and B.S. Altan Propagation of SV waves in a periodically layered media in non-local elasticity International Journal of Solids and Structures 39 2002 5927 5944 (Pubitemid 36021905)
    • (2002) International Journal of Solids and Structures , vol.39 , Issue.24 , pp. 5927-5944
    • Artan, R.1    Altan, B.S.2
  • 23
    • 31444450095 scopus 로고    scopus 로고
    • On a theory of nonlocal elasticity of bi-Helmholtz type and some applications
    • DOI 10.1016/j.ijsolstr.2005.04.027, PII S0020768305002209
    • M. Lazar, G.A. Maugin, and E.C. Aifantis On a theory of nonlocal elasticity of bi-Helmholtz type and some applications International Journal of Solids and Structures 43 2006 1404 1421 (Pubitemid 43152330)
    • (2006) International Journal of Solids and Structures , vol.43 , Issue.6 , pp. 1404-1421
    • Lazar, M.1    Maugin, G.A.2    Aifantis, E.C.3
  • 24
    • 34447285797 scopus 로고    scopus 로고
    • Wave propagation in anisotropic media with non-local elasticity
    • DOI 10.1016/j.ijsolstr.2007.01.024, PII S0020768307000522
    • A. Chakraborty Wave propagation in anisotropic media with non-local elasticity International Journal of Solids and Structures 44 2007 5723 5741 (Pubitemid 47048232)
    • (2007) International Journal of Solids and Structures , vol.44 , Issue.17 , pp. 5723-5741
    • Chakraborty, A.1
  • 25
    • 51249121333 scopus 로고    scopus 로고
    • Long-range cohesive interactions of non-local continuum faced by fractional calculus
    • M. Di Paola, and M. Zingales Long-range cohesive interactions of non-local continuum faced by fractional calculus International Journal of Solids and Structures 45 2008 5642 5659
    • (2008) International Journal of Solids and Structures , vol.45 , pp. 5642-5659
    • Di Paola, M.1    Zingales, M.2
  • 26
  • 27


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.