Nonlocal thermoelasticity based on nonlocal heat conduction and nonlocal elasticity
Tóm tắt
Từ khóa
Tài liệu tham khảo
Aifantis, 1999, Gradient deformation models at nano, micro, and macro scales, J. Eng. Mater. Technol., 121, 189, 10.1115/1.2812366
Alvarez, 2009, Phonon hydrodynamics and phonon-boundary scattering in nanosystems, J. Appl. Phys., 105, 014317, 10.1063/1.3056136
Ansari, 2010, Nonlocal plate model for free vibrations of single-layered graphene sheets, Phys. Lett. A, 375, 53, 10.1016/j.physleta.2010.10.028
Biot, 1956, Thermoelasticity and irreversible thermo-dynamics, J. Appl. Phys., 27, 240, 10.1063/1.1722351
Brancik, 1999, Programs for fast numerical inversion of laplace transforms in MATLAB language environment
Cao, 2007, Equation of motion of a phonon gas and non-Fourier heat conduction, J. Appl. Phys., 102, 053503, 10.1063/1.2775215
Cattaneo, 1958, A form of heat equation which eliminates the paradox of instantaneous propagation, CR Acad. Sci., 247, 431
Chan, 2008, Dynamics of femtosecond laser-induced melting of silver, Phys. Rev. B, 78, 214107, 10.1103/PhysRevB.78.214107
Chen, 2009, A hybrid Green's function method for the hyperbolic heat conduction problems, Int. J. Heat Mass Transf., 52, 4273, 10.1016/j.ijheatmasstransfer.2009.04.026
Cuenot, 2000, Elastic modulus of Polypyrrole nanotubes, Phys. Rev. Lett., 85, 1690, 10.1103/PhysRevLett.85.1690
Cuenot, 2004, Surface tension effect on the mechanical properties of nanomaterials measured by atomic force microscopy, Phys. Rev. B, 69, 165410, 10.1103/PhysRevB.69.165410
Dong, 2014, Size dependent thermal conductivity of Si nanosystems based on phonon gas dynamics, Phys. E, 56, 256, 10.1016/j.physe.2013.10.006
Duan, 2007, Exact solutions for axisymmetric bending of micro/nanoscale circular plates based on nonlocal plate theory, Nanotechnology, 18, 385704, 10.1088/0957-4484/18/38/385704
Duan, 2007, Calibration of nonlocal scaling effect parameter for free vibration of carbon nanotubes by molecular dynamics, J. Appl. Phys., 101, 10.1063/1.2423140
Eringen, 1974, Theory of nonlocal thermoelasticity, Int. J. Eng. Sci., 12, 1063, 10.1016/0020-7225(74)90033-0
Eringen, 1983, On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves, J. Appl. Phys., 54, 4703, 10.1063/1.332803
Eringen, 2002
Ezzat, 2011, Magneto-thermoelasticity with thermoelectric properties and fractional derivative heat transfer, Phys. B Condens. Matter, 406, 30, 10.1016/j.physb.2010.10.005
Forest, 2012, Stress gradient continuum theory, Mech. Res. Comm., 40, 16, 10.1016/j.mechrescom.2011.12.002
Guo, 2010, Thermal wave based on the thermomass model, J. Heat Transf., 132, 072403, 10.1115/1.4000987
Guo, 2005, The size-dependent elastic properties of nanofilms with surface effects, J. Appl. Phys., 98, 074306, 10.1063/1.2071453
Guo, 2015, Phonon hydrodynamics and its applications in nanoscale heat transfer, Phys. Rep., 595, 1, 10.1016/j.physrep.2015.07.003
Guyer, 1966, Solution of the linearized phonon boltzmann equation, Phys. Rev., 148, 765, 10.1103/PhysRev.148.766
Jou, 2010
Jou, 2010, Variational principles for thermal transport in nanosystems with heat slip flow, Phys. Rev. E, 82, 031128, 10.1103/PhysRevE.82.031128
Kovacs, 2015, Generalized heat conduction in heat pulse experiments, Int. J. Heat Mass Transf., 83, 613, 10.1016/j.ijheatmasstransfer.2014.12.045
Kuang, 2009, Variational principles for generalized dynamical theory of thermopiezoelectricity, Acta Mech., 203, 1, 10.1007/s00707-008-0039-1
Lebon, 1995, A non-local thermodynamic analysis of second sound propagation in crystalline dielectrics, J. Phys. Condens. Matter, 7, 1461, 10.1088/0953-8984/7/7/025
Lebon, 2011, An extended thermodynamic model of transient heat conduction at sub-continuum scales, Proc. R. Soc. A, 467, 3241, 10.1098/rspa.2011.0087
Lebon, 2012, Beyond the Fourier heat conduction law and the thermal no-slip boundary condition, Phys. Lett. A, 376, 2842, 10.1016/j.physleta.2012.09.034
Lim, 2015, A higher-order nonlocal elasticity and strain gradient theory and its applications in wave propagation, J. Mech. Phys. Solids, 78, 298, 10.1016/j.jmps.2015.02.001
Lord, 1967, A generalized dynamical theory of thermoelasticity, J. Mech. Phys. Solids, 15, 299, 10.1016/0022-5096(67)90024-5
Ma, 2012, Size-dependent thermal conductivity in nanosystems based on non-Fourier heat transfer, Appl. Phys. Lett., 101, 211905, 10.1063/1.4767337
Polizzotto, 2001, Nonlocal elasticity and related variational principles, Int. J. Solids Struct., 38, 7359, 10.1016/S0020-7683(01)00039-7
Polizzotto, 2003, Unified thermodynamic framework for nonlocal/gradient continuum theories, Eur. J. Mech. A Solids, 22, 651, 10.1016/S0997-7538(03)00075-5
Polizzotto, 2014, Stress gradient versus strain gradient constitutive models within elasticity, Int. J. Solids Struct., 51, 1809, 10.1016/j.ijsolstr.2014.01.021
Polizzotto, 2015, A unifying variational framework for stress gradient and strain gradient elasticity theories, Eur. J. Mech. A Solids, 49, 430, 10.1016/j.euromechsol.2014.08.013
Polizzotto, 2016, Variational formulations and extra boundary conditions within stress gradient elasticity with extensiuons to beam and plate models, Int. J. Solids Struct., 80, 415, 10.1016/j.ijsolstr.2015.09.015
Reddy, 2007, Nonlocal theories for bending, buckling and vibration of beams, Int. J. Eng. Sci., 45, 288, 10.1016/j.ijengsci.2007.04.004
Salvadori, 2003, Measurement of the elastic modulus of nanostructured gold and platinum thin films, Phys. Rev. B, 67, 153404, 10.1103/PhysRevB.67.153404
Sellitto, 2010, Second law of thermodynamics and phonon-boundary conditions in nanowires, J. Appl. Phys., 107, 064302, 10.1063/1.3309477
Shen, 2013, Prediction of nonlinear vibration of bilayer graphene sheets in thermal environments via molecular dynamics simulations and nonlocal elasticity, Comput. Methods Appl. Mech. Eng., 267, 458, 10.1016/j.cma.2013.10.002
Sherief, 2010, Fractional order theory of thermoelasticity, Int. J. Solids Struct., 47, 269, 10.1016/j.ijsolstr.2009.09.034
Soboley, 1994, Equations of transfer in non-local media, Int. J. Heat Mass Transf., 37, 2175, 10.1016/0017-9310(94)90319-0
Tzou, 1996
Tzou, 2010, Nonlocal behavior in thermal lagging, Int. J. Therm. Sci., 49, 1133, 10.1016/j.ijthermalsci.2010.01.022
Vernotte, 1958, Paradoxes in the continuous theory of the heat conduction, CR Acad. Sci., 246, 3154
Wang, 2006, Buckling analysis of micro-and nano-rods/tubes based on nonlocal Timoshenko beam theory, J. Phys. D Appl. Phys., 39, 3904, 10.1088/0022-3727/39/17/029
Wang, 2014, A generalized theory of thermoelasticity based on thermomass and its uniqueness theorem, Acta Mech., 225, 797, 10.1007/s00707-013-1001-4
Yang, 2002, Couple stress based strain gradient theory for elasticity, Int. J. Solids Struct., 39, 2731, 10.1016/S0020-7683(02)00152-X
Yu, 2014, A novel generalized thermoelasticity model based on memory-dependent derivative, Int. J. Eng. Sci., 81, 123, 10.1016/j.ijengsci.2014.04.014
Yu, 2016, The dilemma of hyperbolic heat conduction and its settlement by incorporating spatially nonlocal effect at nanoscale, Phys. Lett. A, 380, 255, 10.1016/j.physleta.2015.09.030
Yu, 2013, Fractional order generalized electro-magneto-thermo-elasticity, Eur. J. Mech. A Solids, 42, 188, 10.1016/j.euromechsol.2013.05.006
Yu, 2015, Size-dependent generalized thermoelasticity using Eringen's nonlocal model, Eur. J. Mech. A Solids, 51, 96, 10.1016/j.euromechsol.2014.12.005