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Volumn 89, Issue , 2014, Pages 470-475

Generalized thermo-viscoelasticity with memory-dependent derivatives

Author keywords

Fourier's Law; Kernel function; Laplace transforms; Memory dependent derivative; Thermo viscoelasticity theory; Time delay

Indexed keywords

FOURIER'S LAW; KERNEL FUNCTION; THERMOVISCOELASTICITY;

EID: 84909578169     PISSN: 00207403     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijmecsci.2014.10.006     Document Type: Article
Times cited : (171)

References (31)
  • 1
    • 0000683427 scopus 로고    scopus 로고
    • Time dependence in material properties: An overview
    • N. Tschoegl Time dependence in material properties: an overview Mech Time-Depend Mater 1 1997 3 31
    • (1997) Mech Time-Depend Mater , vol.1 , pp. 3-31
    • Tschoegl, N.1
  • 3
    • 0029219464 scopus 로고
    • Theoretical aspects of fracture mechanics
    • C Atkinson, and R. Craster Theoretical aspects of fracture mechanics Prog Aerosp Sci 31 1995 1 83
    • (1995) Prog Aerosp Sci , vol.31 , pp. 1-83
    • Atkinson, C.1    Craster, R.2
  • 4
    • 33947255175 scopus 로고    scopus 로고
    • On the dynamics of non-linear viscoelastic solids with material moduli that depend upon pressure
    • K Rajagopal, and G. Saccomandi On the dynamics of non-linear viscoelastic solids with material moduli that depend upon pressure Int J Eng Sci 45 2007 41 54
    • (2007) Int J Eng Sci , vol.45 , pp. 41-54
    • Rajagopal, K.1    Saccomandi, G.2
  • 5
    • 36849124387 scopus 로고
    • Thermoelasticity and irreversible thermodynamics
    • M. Biot Thermoelasticity and irreversible thermodynamics J Appl Phys 27 1956 240 253
    • (1956) J Appl Phys , vol.27 , pp. 240-253
    • Biot, M.1
  • 6
    • 0000366367 scopus 로고
    • Sur une forme de l'équation de la Chaleur éliminant le paradoxe d'une propagation instantaneée
    • C. Cattaneo Sur une forme de l'équation de la Chaleur éliminant le paradoxe d'une propagation instantaneée Comptes Rendus Acad Sci 2 47 1958 431 433
    • (1958) Comptes Rendus Acad Sci , vol.2 , Issue.47 , pp. 431-433
    • Cattaneo, C.1
  • 7
    • 0001753108 scopus 로고
    • Generalized thermoelasticity and its applications
    • R. Hetnarski, Elsevier New York
    • J. Ignaczak Generalized thermoelasticity and its applications R. Hetnarski, Thermal Stresses III 1989 Elsevier New York 279 354
    • (1989) Thermal Stresses III , pp. 279-354
    • Ignaczak, J.1
  • 8
    • 0001194946 scopus 로고    scopus 로고
    • Hyperbolic thermoelasticity, a review of recent Literature
    • D. Chandraskharaiah Hyperbolic thermoelasticity, a review of recent Literature Appl Mech Rev 51 1998 705 729
    • (1998) Appl Mech Rev , vol.51 , pp. 705-729
    • Chandraskharaiah, D.1
  • 9
    • 0033883031 scopus 로고    scopus 로고
    • Noncalssical dynamical thermoelasticity
    • R Hetnarski, and J. Ignaczak Noncalssical dynamical thermoelasticity Int J Solid Struct 37 2000 215 224
    • (2000) Int J Solid Struct , vol.37 , pp. 215-224
    • Hetnarski, R.1    Ignaczak, J.2
  • 10
    • 0142258800 scopus 로고    scopus 로고
    • On uniqueness and reciprocity theorems for generalized thermo-viscoelasticity with thermal relaxation
    • MA Ezzat, and AS. El-Karamany On uniqueness and reciprocity theorems for generalized thermo-viscoelasticity with thermal relaxation Can J Phys 81 2003 823 833
    • (2003) Can J Phys , vol.81 , pp. 823-833
    • Ezzat, M.A.1    El-Karamany, A.S.2
  • 11
    • 0036643282 scopus 로고    scopus 로고
    • The uniqueness and reciprocity theorems for generalized thermo-viscoelasticity with two relaxation times
    • MA Ezzat, and AS. El-Karamany The uniqueness and reciprocity theorems for generalized thermo-viscoelasticity with two relaxation times Int J Eng Sci 40 2002 1275 1284
    • (2002) Int J Eng Sci , vol.40 , pp. 1275-1284
    • Ezzat, M.A.1    El-Karamany, A.S.2
  • 12
    • 0036783837 scopus 로고    scopus 로고
    • On the boundary integral formulation of thermo -viscoelasticity theory
    • AS El-Karamany, and MA. Ezzat On the boundary integral formulation of thermo -viscoelasticity theory Int J Eng Sci 40 2002 1943 1956
    • (2002) Int J Eng Sci , vol.40 , pp. 1943-1956
    • El-Karamany, A.S.1    Ezzat, M.A.2
  • 13
    • 1542402335 scopus 로고    scopus 로고
    • Boundary integral equation formulation for the generalized thermoviscoelasticity with two relaxation times
    • AS El-Karamany, and MA. Ezzat Boundary integral equation formulation for the generalized thermoviscoelasticity with two relaxation times J Appl Math Comput 151 2004 347 362
    • (2004) J Appl Math Comput , vol.151 , pp. 347-362
    • El-Karamany, A.S.1    Ezzat, M.A.2
  • 14
    • 3242694129 scopus 로고    scopus 로고
    • Fundamental solution in generalized magneto-thermoelasticity with two relaxation times for perfect conductor cylindrical region
    • M. Ezzat Fundamental solution in generalized magneto-thermoelasticity with two relaxation times for perfect conductor cylindrical region Int J Eng Sci 42 2004 1503 1519
    • (2004) Int J Eng Sci , vol.42 , pp. 1503-1519
    • Ezzat, M.1
  • 15
    • 0035599883 scopus 로고    scopus 로고
    • State space approach to generalized thermo-viscoelasticity with thermal relaxation
    • MA Ezzat, AS El-Karamany, and A. Samaan State space approach to generalized thermo-viscoelasticity with thermal relaxation J Therm Stress 24 2001 823 846
    • (2001) J Therm Stress , vol.24 , pp. 823-846
    • Ezzat, M.A.1    El-Karamany, A.S.2    Samaan, A.3
  • 16
    • 57349137504 scopus 로고    scopus 로고
    • State space approach to solids and fluids
    • MA. Ezzat State space approach to solids and fluids Can J Phys Rev 86 2008 1241 1250
    • (2008) Can J Phys Rev , vol.86 , pp. 1241-1250
    • Ezzat, M.A.1
  • 17
    • 33846214459 scopus 로고    scopus 로고
    • The relaxation effects of the volume properties of electrically conducting viscoelastic material
    • MA. Ezzat The relaxation effects of the volume properties of electrically conducting viscoelastic material Mater Sci Eng B 130 2006 11 23
    • (2006) Mater Sci Eng B , vol.130 , pp. 11-23
    • Ezzat, M.A.1
  • 18
    • 77955414263 scopus 로고    scopus 로고
    • Fractional radial heat conduction in an infinite medium with a cylindrical cavity and associated thermal stresses
    • Y. Povstenko Fractional radial heat conduction in an infinite medium with a cylindrical cavity and associated thermal stresses Mech Res Commun 37 2010 436 440
    • (2010) Mech Res Commun , vol.37 , pp. 436-440
    • Povstenko, Y.1
  • 20
    • 77957168518 scopus 로고    scopus 로고
    • Thermoelectric MHD non-Newtonian fluid with fractional derivative heat transfer
    • MA. Ezzat Thermoelectric MHD non-Newtonian fluid with fractional derivative heat transfer Physica B 405 2010 4188 4194
    • (2010) Physica B , vol.405 , pp. 4188-4194
    • Ezzat, M.A.1
  • 21
    • 80053121733 scopus 로고    scopus 로고
    • Fractional order heat conduction law in magneto-thermoelasticity involving two temperatures
    • MA Ezzat, and AS. El-Karamany Fractional order heat conduction law in magneto-thermoelasticity involving two temperatures Z Angew Math Phys 62 2011 937 952
    • (2011) Z Angew Math Phys , vol.62 , pp. 937-952
    • Ezzat, M.A.1    El-Karamany, A.S.2
  • 22
    • 79956362256 scopus 로고    scopus 로고
    • Theory of fractional order in electro-thermoelasticity
    • MA Ezzat, and AS. El-Karamany Theory of fractional order in electro-thermoelasticity Euro J Mech - A/Sol 30 2011 491 500
    • (2011) Euro J Mech - A/Sol , vol.30 , pp. 491-500
    • Ezzat, M.A.1    El-Karamany, A.S.2
  • 23
    • 84856734094 scopus 로고    scopus 로고
    • Fractional thermoelectric viscoelastic materials
    • MA Ezzat, and AS. El-Karamany Fractional thermoelectric viscoelastic materials Appl Polym Sci 124 2012 2187 2199
    • (2012) Appl Polym Sci , vol.124 , pp. 2187-2199
    • Ezzat, M.A.1    El-Karamany, A.S.2
  • 25
    • 84977255207 scopus 로고
    • Linear models of dissipation whose Q is almost frequency independent II
    • M. Caputo Linear models of dissipation whose Q is almost frequency independent II Geophys J R Astron Soc 13 1967 529 539
    • (1967) Geophys J R Astron Soc , vol.13 , pp. 529-539
    • Caputo, M.1
  • 26
    • 79960978465 scopus 로고    scopus 로고
    • Surpassing the fractional derivative: Concept of the memory-dependent derivative
    • J Wang, and H. Li Surpassing the fractional derivative: concept of the memory-dependent derivative Comput Math Appl 62 2011 1562 1567
    • (2011) Comput Math Appl , vol.62 , pp. 1562-1567
    • Wang, J.1    Li, H.2
  • 28
    • 84901048803 scopus 로고    scopus 로고
    • A novel generalized thermoelasticity model based on memory-dependent derivative
    • Y.-J. Yu, W. Hu, and X.-G. Tian A novel generalized thermoelasticity model based on memory-dependent derivative Int J Eng Sci 2014 811 2014 23 134
    • (2014) Int J Eng Sci , vol.2014 , Issue.811 , pp. 23-134
    • Yu, Y.-J.1    Hu, W.2    Tian, X.-G.3
  • 29
    • 49949149766 scopus 로고
    • A generalized dynamic theory of thermoelasticity
    • H. Lord, and Y. Shulman A generalized dynamic theory of thermoelasticity J Mech Phys Solids 15 1967 299 309
    • (1967) J Mech Phys Solids , vol.15 , pp. 299-309
    • Lord, H.1    Shulman, Y.2
  • 30
    • 0021375050 scopus 로고
    • A method for the numerical inversion of the Laplace transform
    • G Honig, and U. Hirdes A method for the numerical inversion of the Laplace transform J Comp Appl Math 10 1984 113 132
    • (1984) J Comp Appl Math , vol.10 , pp. 113-132
    • Honig, G.1    Hirdes, U.2
  • 31
    • 84880569691 scopus 로고    scopus 로고
    • Effect of variable thermal conductivity on a half-space under the fractional order theory of thermoelasticity
    • HH Sherief, and A. Abd El-Latief Effect of variable thermal conductivity on a half-space under the fractional order theory of thermoelasticity Int J Mech Sci 74 2013 185 189
    • (2013) Int J Mech Sci , vol.74 , pp. 185-189
    • Sherief, H.H.1    Abd El-Latief, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.