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The thermal stresses are generated as a result of a ramp function change on the boundary.
One is a ramp function, the other is a step function.
The variables considered include past values of the ramp function and a set of meteorological variables, obtained from reanalysis data.
Comparison with standard interpolation function of the literature (RAMP function) shows a smaller transition zone between the fluid and the solid thereby, avoiding some regularization techniques.
The selection of optimal retort temperature profiles with a multistage ramp function involving multiple variables is complex and difficult to handle by conventional optimization methods.
For this case that the arbitrary function is given by the smoothed ramp function with sine function, the dynamic and quasi-static behaviors of the stresses are examined by numerical calculations.
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Some of the most meaningful transient conditions such as step and linear ramp functions are used for the flow rate variation type for the hot and cold fluids, and step, ramp and exponential functions are applied to the fluid temperature at the entrance.
For this inversion analysis, seven smoothed ramp functions were assumed for each subfault.
Six 3-s ramp functions for the fault slip were set every 3 s for each subfault.
This method can be applied to short-term SSEs by using shorter ramp functions, but that topic was not addressed in this study.
The number of smoothed ramp functions was determined to be 4, which allows a maximum of 4.5 s moment releases for each subfault.
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