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Volumn 74, Issue 1, 2012, Pages 91-100

Computational optimization of characteristics for composites of viscoelastic components

Author keywords

Laplace transform; Linear viscoelastic media; Rational approximation; Viscoelastic composite

Indexed keywords

APPROXIMATION ERRORS; COMPUTATIONAL OPTIMIZATION; INTEGRAL KERNEL; INTEGRAL OPERATORS; LINEAR VISCOELASTIC; MIXTURE THEORY; RATIONAL APPROXIMATIONS; STRESS STRAIN RELATION; VISCOELASTIC COMPOSITES; VISCOELASTIC FUNCTIONS; VISCOELASTIC PROPERTIES;

EID: 84860883406     PISSN: 00220833     EISSN: 15732703     Source Type: Journal    
DOI: 10.1007/s10665-011-9477-1     Document Type: Article
Times cited : (9)

References (31)
  • 1
    • 0033117250 scopus 로고    scopus 로고
    • Methods of interconversion between linear viscoelastic material functions. Part I. A numerical method based on Prony series
    • Park SW, Schapery RA (1999) Methods of interconversion between linear viscoelastic material functions. Part I. A numerical method based on Prony series. Int J Solids Struct 36: 1653-1675.
    • (1999) Int J Solids Struct , vol.36 , pp. 1653-1675
    • Park, S.W.1    Schapery, R.A.2
  • 2
    • 0033117231 scopus 로고    scopus 로고
    • Methods of interconversion between linear viscoelastic material functions. Part II. An approximate analytical method
    • Park SW, Schapery RA (1999) Methods of interconversion between linear viscoelastic material functions. Part II. An approximate analytical method. Int J Solids Struct 36: 1677-1699.
    • (1999) Int J Solids Struct , vol.36 , pp. 1677-1699
    • Park, S.W.1    Schapery, R.A.2
  • 3
    • 0032020973 scopus 로고    scopus 로고
    • Comparison of micromechanical methods for effective properties of multiphase viscoelastic composites
    • Brinson LC, Lin WS (1998) Comparison of micromechanical methods for effective properties of multiphase viscoelastic composites. Compos Struct 41: 353-367.
    • (1998) Compos Struct , vol.41 , pp. 353-367
    • Brinson, L.C.1    Lin, W.S.2
  • 5
    • 0036131454 scopus 로고    scopus 로고
    • Poisson's ratio in linear viscoelaticity-a critical review
    • Tschoegl NW, Knauss WG, Emri I (2002) Poisson's ratio in linear viscoelaticity-a critical review. Mech Time-Depend Mater 6: 2-51.
    • (2002) Mech Time-Depend Mater , vol.6 , pp. 2-51
    • Tschoegl, N.W.1    Knauss, W.G.2    Emri, I.3
  • 6
    • 33745747394 scopus 로고    scopus 로고
    • Viscoelastic interlaminar shear modulus of fibre reinforced composites
    • Chan A, Liu XL, Chiu WK (2006) Viscoelastic interlaminar shear modulus of fibre reinforced composites. Compos Struct 75: 185-191.
    • (2006) Compos Struct , vol.75 , pp. 185-191
    • Chan, A.1    Liu, X.L.2    Chiu, W.K.3
  • 7
    • 0002266356 scopus 로고    scopus 로고
    • A sign control method for fitting and interconverting material functions for linearly viscoelastic solids
    • Bradshow RD, Brinson LC (1997) A sign control method for fitting and interconverting material functions for linearly viscoelastic solids. Mech Time-Depend Mater 1: 85-108.
    • (1997) Mech Time-Depend Mater , vol.1 , pp. 85-108
    • Bradshow, R.D.1    Brinson, L.C.2
  • 9
    • 25444433660 scopus 로고    scopus 로고
    • Re-examination of the approximate methods for interconversion between frequency- and time-dependent material functions
    • Emri I, von Bernstorff BS, Cvelbar R, Nikonov A (2005) Re-examination of the approximate methods for interconversion between frequency- and time-dependent material functions. J Non-Newton Fluid Mech 129: 75-84.
    • (2005) J Non-Newton Fluid Mech , vol.129 , pp. 75-84
    • Emri, I.1    von Bernstorff, B.S.2    Cvelbar, R.3    Nikonov, A.4
  • 10
    • 34249044251 scopus 로고    scopus 로고
    • Comparison of different numerical Laplace inversion methods for engineering applications
    • Hassanzadeh H, Pooladi-Darvish M (2007) Comparison of different numerical Laplace inversion methods for engineering applications. Appl Math Comput 189: 1966-1981.
    • (2007) Appl Math Comput , vol.189 , pp. 1966-1981
    • Hassanzadeh, H.1    Pooladi-Darvish, M.2
  • 11
    • 0021488803 scopus 로고
    • Algorithm 619: automatic numerical inversion of the Laplace transform [D5]
    • Piessens R, Huysmans R (1984) Algorithm 619: automatic numerical inversion of the Laplace transform [D5]. ACM Trans Math Softw (TOMS) 10: 348-353.
    • (1984) ACM Trans Math Softw (TOMS) , vol.10 , pp. 348-353
    • Piessens, R.1    Huysmans, R.2
  • 12
    • 84968468830 scopus 로고
    • The rational approximation of functions which are formally defined by a power series expansion
    • Wynn P (1960) The rational approximation of functions which are formally defined by a power series expansion. Math Comput 14: 147-186.
    • (1960) Math Comput , vol.14 , pp. 147-186
    • Wynn, P.1
  • 13
    • 0009609416 scopus 로고
    • Why Laplace transforms are difficult to invert numerically
    • Craig IJD, Thompson AM (1994) Why Laplace transforms are difficult to invert numerically. Comput Phys 8: 648-654.
    • (1994) Comput Phys , vol.8 , pp. 648-654
    • Craig, I.J.D.1    Thompson, A.M.2
  • 14
    • 0001987242 scopus 로고
    • Numerical inversion of the Laplace transform: a survey and comparison of methods
    • Davies B, Martin B (1979) Numerical inversion of the Laplace transform: a survey and comparison of methods. J Comput Phys 33: 1-32.
    • (1979) J Comput Phys , vol.33 , pp. 1-32
    • Davies, B.1    Martin, B.2
  • 15
    • 38249034325 scopus 로고
    • Laplace transform inversion and Pade-type approximants
    • van Iseghem J (1987) Laplace transform inversion and Pade-type approximants. Appl Numer Math 3: 529-538.
    • (1987) Appl Numer Math , vol.3 , pp. 529-538
    • van Iseghem, J.1
  • 16
    • 36949032700 scopus 로고    scopus 로고
    • Study into the kinetics of a crack with a nonsmall fracture process zone in an aging viscoelastic plate
    • Gavrilov GV (2007) Study into the kinetics of a crack with a nonsmall fracture process zone in an aging viscoelastic plate. Int Appl Mech 43: 903-911.
    • (2007) Int Appl Mech , vol.43 , pp. 903-911
    • Gavrilov, G.V.1
  • 17
    • 34250028615 scopus 로고    scopus 로고
    • Subcritical stable growth of a penny-shaped crack in an aging viscoelastic body with cylindrical anisotropy
    • Kaminsky AA, Gavrilov GV (2007) Subcritical stable growth of a penny-shaped crack in an aging viscoelastic body with cylindrical anisotropy. Int Appl Mech 43: 68-78.
    • (2007) Int Appl Mech , vol.43 , pp. 68-78
    • Kaminsky, A.A.1    Gavrilov, G.V.2
  • 18
    • 33846251291 scopus 로고    scopus 로고
    • Growth of a mode II crack in an orthotropic plate made of a viscoelastic composite material
    • Kaminskii AA, Selivanov MF (2006) Growth of a mode II crack in an orthotropic plate made of a viscoelastic composite material. Int Appl Mech 42: 1036-1044.
    • (2006) Int Appl Mech , vol.42 , pp. 1036-1044
    • Kaminskii, A.A.1    Selivanov, M.F.2
  • 19
    • 33750733927 scopus 로고    scopus 로고
    • A combined approach of the Laplace transform and Pade approximation solving viscoelasticity problems
    • Selivanov MF, Chernoivan YA (2007) A combined approach of the Laplace transform and Pade approximation solving viscoelasticity problems. Int J Solids Struct 44: 66-76.
    • (2007) Int J Solids Struct , vol.44 , pp. 66-76
    • Selivanov, M.F.1    Chernoivan, Y.A.2
  • 21
    • 0030867045 scopus 로고    scopus 로고
    • Applications of fractional calculus to dynamic problems of linear and nonlinear hereditary mechanics of solids
    • Rossikhin YA, Shitikova MV (1997) Applications of fractional calculus to dynamic problems of linear and nonlinear hereditary mechanics of solids. Appl Mech Rev 50: 15-67.
    • (1997) Appl Mech Rev , vol.50 , pp. 15-67
    • Rossikhin, Y.A.1    Shitikova, M.V.2
  • 23
    • 33746792356 scopus 로고    scopus 로고
    • Computation of the generalized Mittag-Leffler function and its inverse in the complex plane
    • Hilfer R, Seybold HJ (2006) Computation of the generalized Mittag-Leffler function and its inverse in the complex plane. Integral Transf Spec Funct 17: 637-652.
    • (2006) Integral Transf Spec Funct , vol.17 , pp. 637-652
    • Hilfer, R.1    Seybold, H.J.2
  • 24
    • 34247195298 scopus 로고
    • A direct method for Chebyshev approximation by rational functions
    • Stoer J (1964) A direct method for Chebyshev approximation by rational functions. J Assoc Comput Mach 11: 59-69.
    • (1964) J Assoc Comput Mach , vol.11 , pp. 59-69
    • Stoer, J.1
  • 26
    • 28144435069 scopus 로고    scopus 로고
    • An approach to the determination of the deformation properties of viscoelastic materials
    • Kaminskii AA, Selivanov MF (2005) An approach to the determination of the deformation properties of viscoelastic materials. Int Appl Mech 41: 867-875.
    • (2005) Int Appl Mech , vol.41 , pp. 867-875
    • Kaminskii, A.A.1    Selivanov, M.F.2
  • 28
    • 0001342860 scopus 로고    scopus 로고
    • Thermoreologically complex behavior of multi-phase viscoelastic materials
    • Brinson LC, Knauss WG (2005) Thermoreologically complex behavior of multi-phase viscoelastic materials. J Mech Phys Solids 39: 859-880.
    • (2005) J Mech Phys Solids , vol.39 , pp. 859-880
    • Brinson, L.C.1    Knauss, W.G.2
  • 29
    • 0034959335 scopus 로고    scopus 로고
    • Analysis of rheological equations involving more than one fractional parameters by the use of the simplest mechanical systems based on these equations
    • Rossikhin YA, Shitikova MV (2005) Analysis of rheological equations involving more than one fractional parameters by the use of the simplest mechanical systems based on these equations. Mech Time-Depend Mater 5: 131-175.
    • (2005) Mech Time-Depend Mater , vol.5 , pp. 131-175
    • Rossikhin, Y.A.1    Shitikova, M.V.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.