Finite element stress analysis of the role of thermal expansion in small scale elastic crustal deformation
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Abstract
The finite element stress analysis method was utilized to determine the effects of thermal expansion in small scale crystal deformation with the entire study conducted within the elastic limits of failure. A 5 by 25 km model was simulated, with accepted physical properties of rock and heated to an average geothermal gradient 30° C/km. Parameters independently examined included 1) variance of the coefficient of thermal expansion; 2) variance of temperature magnitude; and 3) variance of temperature geometry.The variations in coefficient of thermal expansion, studied here produced slight alterations in stress patterns produced by body weight and the normal geothermal gradient. It was suggested that general ranges of coefficients were sufficient to predict the behavior of the body. Temperature magnitudes have also resulted in small changes in displacements and stress patterns.Displacements due to thermal expansion were of minimal geologic significance. However, the stress could alter stress patterns generated by other tectonic forces. This may dictate the time and location of the initial failure of the body; in turn controling any subsequent tectonic activity.Ball State UniversityMuncie, IN 47306