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Full-Text Articles in Engineering Mechanics

Investigations Of Inertia Effects On An Infinite Solid Cylinder Due To Thermal Shock, Roland Vanderbilt Williams Jan 1978

Investigations Of Inertia Effects On An Infinite Solid Cylinder Due To Thermal Shock, Roland Vanderbilt Williams

Retrospective Theses and Dissertations

In this paper the effects of inertia are explored for the case of a thermal excitation applied on the surface of an infinitely long, solid circular cylinder. The linear uncoupled field equations for a homogeneous, isotropic, thermoelastic medium are used to derive the desired field equations of stress and displacement. The solution procedure included, first, the determination of the thermal boundary value problem from the energy equation which is identically satisfied for the uncoupled condition. Secondly, substitution of the strain-displacement relationships and the previously obtained thermal relation into the equilibrium equation containing inertial effects. The equilibrium equation is the only …


Development Of A Quadratic Finite Element Solution Of The Convective-Transport Equation., David A. Dillard Jan 1978

Development Of A Quadratic Finite Element Solution Of The Convective-Transport Equation., David A. Dillard

Masters Theses

"A quadratic finite element has been developed for the solution of the general three-dimensional convective-transport equation. Inherent instabilities in the numerical solution arise when the convective terms in the governing equation become significant. An application of upwinding techniques to the 20 degree of freedom serendipity element failed to produce acceptable results. Upwinding was applied to the 27 degree of freedom Lagrangian element with good results. Results of the latter element are given for several problems, including a model of a round to round metal forming process"--Abstract p. iii