One-Dimensional Temperature and Stress Distributions Associated with Hyperbolic Heat Conduction

B. Wang

doi:10.4028/www.scientific.net/AMM.249-250.962

Paper Titles

Fabrication of Spherical Bi Particles during Polyol Synthesis Using a Bismuth(III) Carbonate Precursor
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Investigation on Impact Performance of Light-Weight Composite Honeycomb Sandwich Panels
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Finite Element Analysis and Shape Optimization of Aluminum Alloy Automobile Energy-Absorbing Components
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Influence of Nanostructured Fibers on Properties of Building Composites
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One-Dimensional Temperature and Stress Distributions Associated with Hyperbolic Heat Conduction
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Nondestructive Reliability Monitoring of Zirconia Degraded under Hydrothermal Condition
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Research on the Pressure-Measuring Uncertainty of Standard Copper-Cylinder
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“Internal” Resistivity and Quantum Efficiency in Organic/Hybrid Solar Cells
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Interaction of High Power Laser with Carbon Doped PVC
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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 249-250One-Dimensional Temperature and Stress...

One-Dimensional Temperature and Stress Distributions Associated with Hyperbolic Heat Conduction

Abstract:

The classical Fourier heat conduction law gives sufficient accuracy for many practical engineering applications. However, it cannot exactly reflect the real physical mechanism of heat conduction by highly-varying thermal load, at very low temperatures, or at nanoscale. The hyperbolic heat conduction equation can better explain heat conduction in solids. However, such equation is very difficult to solve. This paper studies the temperature field for a 1-D plate and a 1-D cylinder. The associated thermal stress for a 1-D plate is also given. Only in these simple situations, closed form solutions are possible and are given. The results can be used in the future analysis of thermal shock cracking and reliability analysis of materials in modern science and technology.