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STRESSES AND STRAINS IN MULTI-LAYER DISKS, CYLINDERS, AND SPHERES UNDER PRESSURE LOADING AND AN ARBITRARY RADIAL TEMPERATURE GRADIENT,
AEROSPACE CORP EL SEGUNDO CALIF
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Expressions for elastic stresses and strains due to uniform internal and external pressure loading and an arbitrary radial temperature gradient for an N-layer concentric circular disk, circular cylinder, and sphere are derived on the basis that the composite disk, cylinder and sphere are made of materials that are layer-wise elastic, homogeneous, and isotropic. Because the configurations under investigation can be subdivided into as large a number of concentric disks, cylinders, and spheres as the computer limitation permits, the formulas derived are applicable to the treatment of stresses and strains in circular disk, circular cylinders, and spheres exhibiting varying material properties in the radial direction. This concentric method is especially advantageous for the analysis of composite disks, cylinders, and spheres having radial discontinuities in material properties andor in the temperature profile. Author
APPROVED FOR PUBLIC RELEASE