Compression of a Thin Plastic Mass Between Two Elastic Cylinders

1969 ◽  
Vol 91 (2) ◽  
pp. 342-349
Author(s):  
E. A. Wilson
Keyword(s):  
Shear Strength ◽  
Pressure Distribution ◽  
Special Function ◽  
Iterative Solution ◽  
Analytical Investigation ◽  
Circular Cylinders ◽  
Plastic Mass ◽  
Elastic Cylinders ◽  
Thin Plastic ◽  
Edge Separation

This work presents an analytical investigation of a plastic mass being compressed between the ends of two elastic circular cylinders. A special function recently tabulated by the author is used to find the deformation of the elastic cylinders due to the pressure distribution caused by the compression of the plastic mass. Based on the deformed shape of the cylinders found by the iterative solution using the special function, the author presents a simplified approximate method for finding the pressure distribution on the cylinders when given the edge separation of the cylinders and the ratio of the shear strength of the plastic mass to the modulus of elasticity in shear of the cylinders.

Review of Three Dimensional Dynamic Analyses of Circular Cylinders and Cylindrical Shells

1994 ◽  
Vol 47 (10) ◽  
pp. 501-516 ◽  
Author(s):  
Kostas P. Soldatos
Keyword(s):  
Cylindrical Shells ◽  
Three Dimensional ◽  
Circular Cylinders ◽  
Accurate Information ◽  
Two Dimensional ◽  
Governing Equations ◽  
Complicated Form ◽  
Dynamic Analyses ◽  
Cylindrical Panels ◽  
Elastic Cylinders

There is an increasing usefulness of exact three-dimensional analyses of elastic cylinders and cylindrical shells in composite materials applications. Such analyses are considered as benchmarks for the range of applicability of corresponding studies based on two-dimensional and/or finite element modeling. Moreover, they provide valuable, accurate information in cases that corresponding predictions based on that later kind of approximate modeling is not satisfactory. Due to the complicated form of the governing equations of elasticity, such three-dimensional analyses are comparatively rare in the literature. There is therefore a need for further developments in that area. A survey of the literature dealing with three-dimensional dynamic analyses of cylinders and open cylindrical panels will serve towards such developments. This paper presents such a survey within the framework of linear elasticity.

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