Engineering topics
Publications and source records attributed to Sanders, J. L., Jr..
The stress concentrations due to an elliptical cutout in a shallow cylindrical shell are determined by means of a system of singular integral equations, solved numerically. Three loading conditions are considered: tension, and internal pressure. Results confirm those obtained by previous authors by other methods and extend the range of parameters over which results are available.
The paper is concerned with the problem of a taut string on a random elastic foundation subjected to random loads. The boundary value problem is transformed into an initial value problem by the method of invariant imbedding. Fokker-Planck equations for the random initial value problem are formulated and solved in some special cases. The analysis leads to a complete characterization of the random deflection function.
A closed cylindrical shell under uniform internal pressure has a slit around a portion of its circumference. Linear shallow shell theory predicts inverse square-root-type singularities in certain of the stresses at the crack tips. This paper reports the computed strength of these singularities for different values of a dimensionless parameter based on crack length, shell radius and shell thickness.
Reconsideration of the problem of a complete semiinfinite circular cylindrical shell with a square cage investigated earlier by Reissner and Simmonds (1966). It is shown that the solution can be found in closed form rather than in the form of Fourier series, provided that the boundary data on the end of the shell are 'slowly varying.'
Singular solutions to concentrated loads on shallow shell equations with quadratic middle surface
Solutions for normal and tangential displacements and concentrated forces on shallow cylindrical shells
Coupled integral equations for cutouts in shallow shells
Longitudinal crack in cylindrical shell under internal pressure, calculating normal and bending stress singularity strengths against curvature/ cracklength parameter
Stress level reduction in pressurized circular cylinder with circumferential ring stiffener and longitudinal crack, using shallow shell equations
Linear thin shell theory in complex dependent variable form for determining fourth order partial differential equations, considering elastic shells with edge loads
Formulation of general equations of linear thin shell theory in terms of complex combinations of dependent variables
Toroidal shell stresses and displacements under internal pressure in transition range found by bending and membrane theories