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Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, 08/2014, Volume 90, Issue 2, p. 022117
We show numerically that introducing the next-nearest-neighbor interactions (of appropriate strength) into the one-dimensional (1D) Fermi-Pasta-Ulam-beta... 
INTRABAND DISCRETE BREATHERS | ENERGY-TRANSPORT | LOCALIZATION | MODES | PHYSICS, FLUIDS & PLASMAS | DYNAMICS | DELOCALIZATION | SYSTEMS | CHAINS | NONLINEAR SCHRODINGER BREATHERS | THERMAL-CONDUCTIVITY | PHYSICS, MATHEMATICAL | Models, Theoretical | Temperature | Thermal Conductivity | Computer Simulation
Journal Article
International Journal for Numerical Methods in Engineering, ISSN 0029-5981, 09/2017, Volume 111, Issue 10, pp. 983 - 1000
Journal Article
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, 06/2012, Volume 85, Issue 6, p. 060102
We study heat conduction behavior of one-dimensional lattices with asymmetric, momentum conserving interparticle interactions. We find that with a certain... 
ENERGY-TRANSPORT | LAW | OSCILLATORS | PHYSICS, FLUIDS & PLASMAS | SYSTEMS | CHAINS | THERMAL-CONDUCTIVITY | PHYSICS, MATHEMATICAL | Thermodynamics | Energy Transfer | Models, Chemical | Thermal Conductivity | Computer Simulation
Journal Article
International Journal of Heat and Mass Transfer, ISSN 0017-9310, 06/2016, Volume 97, pp. 638 - 644
•CA method is used for efficient transient nonlinear heat transfer analysis.•Accurate results are obtained using a small number of basic vectors.•The CA method... 
Combined approximations | Nonlinear | Transient heat transfer | REANALYSIS APPROACH | DESIGN | MECHANICS | THERMODYNAMICS | PIM | STRUCTURAL-ANALYSIS | BEM | ENGINEERING, MECHANICAL | Heat conduction | Conduction | Approximation | Mathematical analysis | Nonlinearity | Mathematical models | Heat transfer | Three dimensional
Journal Article
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, 02/2012, Volume 85, Issue 2, p. 020102
For one-dimensional nonlinear lattices with momentum conserving interparticle interactions, intensive studies have suggested that the heat conductivity kappa... 
DISCRETE BREATHERS | ENERGY | PHYSICS, FLUIDS & PLASMAS | INTRINSIC LOCALIZED MODES | NONLINEAR LATTICES | 1D LATTICES | DYNAMICS | SYSTEMS | RELAXATION | THERMAL-CONDUCTIVITY | WAVE SCATTERING | PHYSICS, MATHEMATICAL | Models, Theoretical | Thermal Conductivity | Computer Simulation
Journal Article
Physical Review Letters, ISSN 0031-9007, 07/2003, Volume 91, Issue 4, p. 044301/4
We establish a connection between anomalous heat conduction and anomalous diffusion in one-dimensional systems. It is shown that if the mean square of the... 
ENERGY-TRANSPORT | TRANSMISSION | SUBDIFFUSION | SPONGE | PHYSICS, MULTIDISCIPLINARY | FINITE THERMAL-CONDUCTIVITY | PASSAGE TIME | MODEL | CHAINS | FLOW | LOCAL VISCOELASTICITY
Journal Article
Computers and Structures, ISSN 0045-7949, 04/2019, Volume 214, pp. 40 - 47
Journal Article
AIAA Journal, ISSN 0001-1452, 12/2017, Volume 55, Issue 12, pp. 4376 - 4386
In this study, the nonlinear free vibration responses of functionally graded curved (cylindrical, elliptical, and hyperbolic) shell panels are analyzed under... 
HIGHER-ORDER SHEAR | NONLINEAR VIBRATION | ELEMENT | ELASTIC FOUNDATIONS | ISOGEOMETRIC ANALYSIS | ENGINEERING, AEROSPACE | CYLINDRICAL-SHELLS | PLATES | THERMOMECHANICAL ANALYSIS | DEFORMATION-THEORY | DYNAMIC-RESPONSE | Conduction | Heat | Research | Kinematics
Journal Article
International Journal of Heat and Mass Transfer, ISSN 0017-9310, 04/2017, Volume 107, pp. 747 - 754
•A new approach is presented for determining damping factors in LM algorithm.•The approach relates damping factor directly to dimensionless objective... 
Damping factor | Inverse heat conduction problem | Temperature-dependent thermal conductivity | Levenberg-Marquardt algorithm | SYSTEM | DESIGN | FLUX | PARAMETERS | IDENTIFICATION | RADIATION | ENGINEERING, MECHANICAL | DEPENDENT THERMAL-CONDUCTIVITY | DOMAIN DECOMPOSITION METHOD | MECHANICS | THERMODYNAMICS | NONLINEAR EQUATIONS | TEMPERATURE | Algorithms
Journal Article
Journal of Mathematical Physics, ISSN 0022-2488, 2014, Volume 55, Issue 9, pp. 093301/1 - 19
Journal Article
International Journal of Heat and Mass Transfer, ISSN 0017-9310, 05/2017, Volume 108, pp. 1551 - 1559
•A new and simple boundary-domain integral equation is presented for solving transient nonlinear heat conduction problems with temperature-dependent... 
Nonlinear transient heat conduction | Temperature dependent conductivity | Radial integration method | Boundary element method | DOMAIN | INTERNAL CELLS | BOUNDARY-ELEMENT METHOD | ENGINEERING, MECHANICAL | ELASTICITY | MECHANICS | THERMODYNAMICS | EQUATION METHOD | FUNCTIONALLY GRADED MATERIALS
Journal Article
International Journal of Heat and Mass Transfer, ISSN 0017-9310, 01/2017, Volume 104, pp. 1145 - 1151
•In this paper, a new boundary element method is developed for solving the nonlinear heat conduction problems with temperature dependent thermal conductivity... 
Nonlinear heat conduction | Temperature dependent conductivity | Radial integration method | Boundary element method | ELASTICITY | MECHANICS | THERMODYNAMICS | INTERNAL CELLS | BEM | ENGINEERING, MECHANICAL
Journal Article
International Journal of Heat and Mass Transfer, ISSN 0017-9310, 06/2018, Volume 121, pp. 246 - 264
•Developed a “parameter free” two-probe calibration integral equation method for resolving nonlinear inverse heat conduction problem of surface heat flux... 
Surface heat flux estimation | Two-probe | Nonlinear inverse heat conduction problem | Calibration integral equation method | MECHANICS | THERMODYNAMICS | TEMPERATURE | PHYSICS-BASED CALIBRATION | ENGINEERING, MECHANICAL | PREDICTION | SCHEMES
Journal Article
Journal of Applied Physics, ISSN 0021-8979, 09/2007, Volume 102, Issue 5, pp. 053503 - 053503-6
Heat conduction in solids is due to the motion of the phonon gas. A more general description of the heat transport in solids includes consideration of the... 
DYNAMICS | 2ND SOUND | PHYSICS, APPLIED | Conduction | Heat | Research | Nonlinear functional analysis | Analysis | Phonons
Journal Article
by Liu, S and Xu, X F and Xie, R G and Zhang, G and Li, B W
The European Physical Journal B, ISSN 1434-6028, 10/2012, Volume 85, Issue 10, pp. 1 - 20
Journal Article