Abstract
The transient thermal stress concentration of a notched semi-infinite plate is analysed numerically. The plate which is initially in a uniform temperature state is assumed to be heated along the straight and notched boundaries through a fluid touching directly on it. The notch shapes are semi-elliptic with various radius ratios. A finite-difference method is used both for temperature and stress analyses. The finite-difference mesh is formed on basis of the equi-potential and flow lines in the potential flow around an elliptic cylinder. It is found by this method that the thermal stress concentration increases with time and the Biot number of heat convection. An approximate method, by which the stress concentration factor of a semi-elliptically notched strip with finite width can be estimated, is proposed.
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