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Volumn 60, Issue 4, 1999, Pages 4465-4472

Coefficient of restitution of colliding viscoelastic spheres

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE;

EID: 0000379964     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.60.4465     Document Type: Article
Times cited : (311)

References (43)
  • 32
    • 0004897841 scopus 로고
    • Z. Ning and C. Thornton, in Powders and Grains ’93, edited by C. Thornton, (Balkema, Rotterdam, 1993), p. 33;, K. D. Kafui and C. Thornton, ibid., p. 401;, G. Lian, C. Thornton, and M. J. Adams, ibid. p. 59;, J. R. Williams, G. W. Mustoe, IESL, Cambridge
    • C. Thornton, G. Lian, and M. J. Adams, in Proceedings of the 2nd International Conference on Discrete Element Methods, edited by J. R. Williams and G. W. Mustoe (IESL, Cambridge, 1993), p. 177;Z. Ning and C. Thornton, in Powders and Grains ’93, edited by C. Thornton, (Balkema, Rotterdam, 1993), p. 33;K. D. Kafui and C. Thornton, ibid., p. 401;G. Lian, C. Thornton, and M. J. Adams, ibid. p. 59
    • (1993) Proceedings of the 2nd International Conference on Discrete Element Methods , pp. 177
    • Thornton, C.1    Lian, G.2    Adams, M.J.3
  • 35
    • 4243142853 scopus 로고
    • T. Tanaka, Kiron 49-441B, 1020 (1983).
    • (1983) Kiron , vol.49-441B , pp. 1020
    • Tanaka, T.1
  • 37
    • 85036264794 scopus 로고    scopus 로고
    • As is usual for collision (e.g., 328), the two-particle problem is reduced to the scattering problem of a single-particle with an effective mass (Formula presented)
    • As is usual for collision (e.g., 328), the two-particle problem is reduced to the scattering problem of a single-particle with an effective mass (Formula presented).
  • 39
    • 85036322689 scopus 로고    scopus 로고
    • Derivation of the dissipative force given in 2526 for colliding spheres may be straightforwardly generalized to obtain the relation (13) [or Eq. (A17) in 25 26] for colliding bodies of any shape, provided that displacement field in the bulk of the material of bodies in contact is a one-valued function of the compression (see also 39
    • Derivation of the dissipative force given in 2526 for colliding spheres may be straightforwardly generalized to obtain the relation (13) [or Eq. (A17) in 2526] for colliding bodies of any shape, provided that displacement field in the bulk of the material of bodies in contact is a one-valued function of the compression (see also 39).
  • 41
    • 85036316040 scopus 로고    scopus 로고
    • Obviously, the coefficients of the Padé approximation may be chosen up to an arbitrary factor to multiply numerator and denominator; we chose it to have unity as a leading term for both of these
    • Obviously, the coefficients of the Padé approximation may be chosen up to an arbitrary factor to multiply numerator and denominator; we chose it to have unity as a leading term for both of these.
  • 42
    • 85036400888 scopus 로고    scopus 로고
    • Note that, in difference to the calculations in the main part of the article the quantities x, (Formula presented), and (Formula presented) do have units, namely (Formula presented). The rescaled time is dimensionless. The purpose of this scaling was only to simplify the dependence of the problem on the material parameters, it was necessary to keep the explicit dependence of the problem on the initial velocity
    • Note that, in difference to the calculations in the main part of the article the quantities x, (Formula presented), and (Formula presented) do have units, namely (Formula presented). The rescaled time is dimensionless. The purpose of this scaling was only to simplify the dependence of the problem on the material parameters, it was necessary to keep the explicit dependence of the problem on the initial velocity.
  • 43
    • 85036313743 scopus 로고    scopus 로고
    • The maple-program is available at URL: http://summa.physik.hu-berlin.de/∼kies/papers/DimAnalysis/epsilon_simple.html
    • The maple-program is available at URL: http://summa.physik.hu-berlin.de/∼kies/papers/DimAnalysis/epsilon_simple.html


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.