Non-Fourier Heat Conduction and Thermal-Stress Analysis of a Spherical Ice Particle Subjected to Thermal Shock in PEM Fuel Cell at Quick Cold Start-Up

AbstractThe present paper considers the linear static thermal stress analysis of composite structures by means of a shell finite element with variable through-thethickness kinematic. The temperature profile along the thickness direction is calculated by solving the Fourier heat conduction equation. The refined models considered are both Equivalent Single Layer (ESL) and Layer Wise (LW) and are grouped in the Unified Formulation by Carrera (CUF). These permit the distribution of displacements, stresses along the thickness of the multilayered shell to be accurately described. The shell element has nine nodes, and the Mixed Interpolation of Tensorial Components (MITC) method is used to contrast the membrane and shear locking phenomenon. The governing equations are derived from the Principle of Virtual Displacement (PVD). Cross-ply plate, cylindrical and spherical shells with simply-supported edges and subjected to bi-sinusoidal thermal load are analyzed.Various thickness ratios and curvature ratios are considered. The results, obtained with different theories contained in the CUF, are compared with both the elasticity solutions given in the literature and the analytical solutions obtained using the CUF and the Navier’s method. Finally, plates and shells with different lamination and boundary conditions are analyzed using high-order theories in order to provide FEM benchmark solutions.

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Thermal Stress Analysis in Pipe Flange Connections with a Raised-face Gasket Subjected to Heat Conduction from Contained Fluid.

TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series A ◽

10.1299/kikaia.64.3023 ◽

1998 ◽

Vol 64 (628) ◽

pp. 3023-3031

Author(s):

Masahide KATSUO ◽

Toshiyuki SAWA ◽

Kenichi KOTANI ◽

Tomoya ISHIHARA

Keyword(s):

Heat Conduction ◽

Thermal Stress ◽

Stress Analysis ◽

Thermal Stress Analysis

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Numerical modeling of interconnect flow channel design and thermal stress analysis of a planar anode-supported solid oxide fuel cell stack

Energy ◽

10.1016/j.energy.2014.03.052 ◽

2014 ◽

Vol 69 ◽

pp. 553-561 ◽

Cited By ~ 36

Author(s):

S.-S. Wei ◽

T.-H. Wang ◽

J.-S. Wu

Keyword(s):

Numerical Modeling ◽

Thermal Stress ◽

Fuel Cell ◽

Solid Oxide Fuel Cell ◽

Stress Analysis ◽

Flow Channel ◽

Solid Oxide ◽

Oxide Fuel ◽

Fuel Cell Stack ◽

Thermal Stress Analysis

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Thermal shock resistance of solids associated with hyperbolic heat conduction theory

Proceedings of The Royal Society A Mathematical Physical and Engineering Sciences ◽

10.1098/rspa.2012.0754 ◽

2013 ◽

Vol 469 (2153) ◽

pp. 20120754 ◽

Cited By ~ 22

Author(s):

B. L. Wang ◽

J. E. Li

Keyword(s):

Heat Conduction ◽

Thermal Stress ◽

Stress Intensity ◽

Thermal Shock ◽

Thermal Shock Resistance ◽

Closed Form Solution ◽

Hyperbolic Heat Conduction ◽

Conduction Model ◽

Fourier Heat Conduction ◽

Shock Resistance

The thermal shock resistance of solids is analysed for a plate subjected to a sudden temperature change under the framework of hyperbolic, non-Fourier heat conduction. The closed form solution for the temperature field and the associated thermal stress are obtained for the plate without cracking. The transient thermal stress intensity factors are obtained through a weight function method. The maximum thermal shock temperature that the plate can sustain without catastrophic failure is obtained according to the two distinct criteria: (i) maximum local tensile stress criterion and (ii) maximum stress intensity factor criterion. The difference between the non-Fourier solutions and the classical Fourier solution is discussed. The traditional Fourier heat conduction considerably overestimates the thermal shock resistance of the solid. This confirms the fact that introduction of the non-Fourier heat conduction model is essential in the evaluation of thermal shock resistance of solids.

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