메뉴 건너뛰기




Volumn 313, Issue 3-5, 2008, Pages 858-874

Asymptotic equivalence of homogenisation procedures and fine-tuning of continuum theories

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC ANALYSIS; CONTINUUM MECHANICS; MATHEMATICAL MODELS; NUMERICAL METHODS; WAVE PROPAGATION;

EID: 41549131636     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2007.12.005     Document Type: Article
Times cited : (51)

References (24)
  • 1
    • 84973010670 scopus 로고
    • Influence of rotatory inertia and shear on flexural motions of isotropic, elastic plates
    • Mindlin R.D. Influence of rotatory inertia and shear on flexural motions of isotropic, elastic plates. Journal of Applied Mechanics 18 (1951) 31-38
    • (1951) Journal of Applied Mechanics , vol.18 , pp. 31-38
    • Mindlin, R.D.1
  • 2
    • 0033902368 scopus 로고    scopus 로고
    • On rigorous derivation of strain gradient effects in the overall behaviour of periodic heterogeneous media
    • Smyshlyaev V.P., and Cherednichenko K.D. On rigorous derivation of strain gradient effects in the overall behaviour of periodic heterogeneous media. Journal of the Mechanics and Physics of Solids 48 6-7 (2000) 1325-1357
    • (2000) Journal of the Mechanics and Physics of Solids , vol.48 , Issue.6-7 , pp. 1325-1357
    • Smyshlyaev, V.P.1    Cherednichenko, K.D.2
  • 7
    • 41549115618 scopus 로고    scopus 로고
    • R. Courant, D. Hilbert, Methods of Mathematical Physics, Vol. II: Partial Differential Equations, Wiley, New York, 1989.
    • R. Courant, D. Hilbert, Methods of Mathematical Physics, Vol. II: Partial Differential Equations, Wiley, New York, 1989.
  • 10
    • 0000258643 scopus 로고    scopus 로고
    • A dispersive model for wave propagation in periodic heterogeneous media based on homogenization with multiple spatial and temporal scales
    • Chen W., and Fish J. A dispersive model for wave propagation in periodic heterogeneous media based on homogenization with multiple spatial and temporal scales. Journal of Applied Mechanics 68 3 (2001) 153-161
    • (2001) Journal of Applied Mechanics , vol.68 , Issue.3 , pp. 153-161
    • Chen, W.1    Fish, J.2
  • 12
    • 0012686118 scopus 로고    scopus 로고
    • One-dimensional dynamically consistent gradient elasticity models derived from a discrete microstructure, Part 1: Generic formulation
    • Metrikine A.V., and Askes H. One-dimensional dynamically consistent gradient elasticity models derived from a discrete microstructure, Part 1: Generic formulation. European Journal of Mechanics A/Solids 21 4 (2002) 555-572
    • (2002) European Journal of Mechanics A/Solids , vol.21 , Issue.4 , pp. 555-572
    • Metrikine, A.V.1    Askes, H.2
  • 13
    • 33747351012 scopus 로고    scopus 로고
    • On causality of the gradient elasticity models
    • Metrikine A.V. On causality of the gradient elasticity models. Journal of Sound and Vibration 297 3-5 (2006) 727-742
    • (2006) Journal of Sound and Vibration , vol.297 , Issue.3-5 , pp. 727-742
    • Metrikine, A.V.1
  • 16
    • 24644522852 scopus 로고    scopus 로고
    • Continuous models for 1D discrete media valid for higher-frequency domain
    • Andrianov I.V., and Awrejcewicz J. Continuous models for 1D discrete media valid for higher-frequency domain. Physics Letters A 345 1-3 (2005) 55-62
    • (2005) Physics Letters A , vol.345 , Issue.1-3 , pp. 55-62
    • Andrianov, I.V.1    Awrejcewicz, J.2
  • 17
    • 0002596327 scopus 로고    scopus 로고
    • The devil's invention: asymptotic, superasymptotic and hyperasymptotic series
    • Boyd J.P. The devil's invention: asymptotic, superasymptotic and hyperasymptotic series. Acta Applicandae Mathematicae 56 1 (1999) 1-98
    • (1999) Acta Applicandae Mathematicae , vol.56 , Issue.1 , pp. 1-98
    • Boyd, J.P.1
  • 18
    • 0001561960 scopus 로고
    • Fundamental elastodynamic solutions for anisotropic media with ellipsoidal slowness surfaces
    • Burridge R., Chadwick P., and Norris A.N. Fundamental elastodynamic solutions for anisotropic media with ellipsoidal slowness surfaces. Proceedings of the Royal Society of London, Series A 440 1910 (1993) 655-681
    • (1993) Proceedings of the Royal Society of London, Series A , vol.440 , Issue.1910 , pp. 655-681
    • Burridge, R.1    Chadwick, P.2    Norris, A.N.3
  • 19
    • 0035253994 scopus 로고    scopus 로고
    • Comparison of wave propagation characteristics of the Cosserat continuum model and corresponding discrete lattice models
    • Suiker A.S.J., Metrikine A.V., and de Borst R. Comparison of wave propagation characteristics of the Cosserat continuum model and corresponding discrete lattice models. International Journal of Solids and Structures 38 9 (2001) 1563-1583
    • (2001) International Journal of Solids and Structures , vol.38 , Issue.9 , pp. 1563-1583
    • Suiker, A.S.J.1    Metrikine, A.V.2    de Borst, R.3
  • 23
    • 41549114316 scopus 로고    scopus 로고
    • R.D. Mindlin, G. A. Herrmann, A one-dimensional theory of compressional waves in an elastic rod, Proceedings of the First US National Congress of Applied Mechanics, 1950, pp. 187-191.
    • R.D. Mindlin, G. A. Herrmann, A one-dimensional theory of compressional waves in an elastic rod, Proceedings of the First US National Congress of Applied Mechanics, 1950, pp. 187-191.
  • 24
    • 0001366816 scopus 로고    scopus 로고
    • Mindlin plate theory: best shear coefficient and higher spectra validity
    • Stephen N.G. Mindlin plate theory: best shear coefficient and higher spectra validity. Journal of Sound and Vibration 202 4 (1997) 539-553
    • (1997) Journal of Sound and Vibration , vol.202 , Issue.4 , pp. 539-553
    • Stephen, N.G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.