Browsing by Author "Fu, Shein-Liang"
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Item Quasi-static problems of thermoelasticity for infinite and semi-infinite elastic media(1969) Fu, Shein-Liang; Michalopoulos, Constantine D.; Muster, Douglas F.; Wheeler, Lewis T.; Graff, William J.The present investigation is a study of quasistatic problems of thermoelasticity for infinite and semi-infinite elastic media. The general solutions to the basic equations for quasl-static, uncoupled thermoelasticity theory are derived for problems of infinite and semi-infinite elastic bodies. Two particular problems are considered: one is a line heat source moving at a constant velocity perpendicular to its length in an infinite elastic body; the other is a moving temperature discontinuity on the surface of a semi-infinite elastic body. It is shown that the thermal stress field for the first problem is identical with Fox's result. For the second problem, the normal displacement of the plane boundary and the normal stress (in the horizontal direction) on the the plane boundary are obtained in closed form. The closed-form solution for the normal displacement is new, while the stress is the same as that found by Jahanshahl. Numerical results for the normal displacement and stress for different values of velocity are presented in graphical form.Item Stress bounds or bars in torsion(1972) Fu, Shein-Liang; Wheeler, Lewis T.; Nachlinger, R. Ray.; Hedgcoxe, Pat G.; Etgen, Garrett J.; Morris, William L.This investigation is concerned with bounds on the maximum shear stress in bars subjected to twisting by applied end couples. The results which are found within the framework of the Saint-Venant formulation, are applicable to bars of homogeneous, anisotropic material, having a simply connected cross section. In the case of isotropic bars we arrive at an upper bound that evidently constitutes an improvement over those available in the literature. On the other hand, there appears to be nothing in the literature concerning stress bounds for bars of anisotropic materials. The key idea involved in the derivation of the upper bound for the isotropic bars is the minimum principle for superharmonic functions. The stress bounds for anisotropic bars are found both in a manner analogous to the development to the isotropic case, and by directly applying an affine transformation to the results found in the isotropic case. Both methods are used for orthotropic and anisotropic bars.