A Method for Solving Boundary Value Problems and Shell Theory Without Assumptions.

摘要

A method is presented from which not only three-dimensional problems may be solved,but also two-dimensional theories can be explicitly deduced from three-dimensional equations of theory of elasticity without employing assumptions. The axially symmetric problem of hollow cylinders of any length is treated herein for illustrative purpose. However,the method can be applied to general cases,different geometric configurations and other similar problems in mathematical physics. The method yields true stresses including transverse shear and normal stresses and refined shell equations.