Various methods and theories of failure have been used to determine the wall thickness of pressure vessels. These theories and methods are based upon simple tensile yield strength or ultimate strength and have been thoroughly reviewed by Burrows. In using simple tensile yield or ultimate strength as a basis for failure, no consideration is given to the plastic deformation properties of the material. That is, these theories assume that two materials with the same tensile yield or ultimate strengths but with different ductilities are equally satisfactory to the designer. In other words, the determination of the failure load for a pressure vessel should consider the plastic stress-strain behavior of the material to failure. This paper develops a theory for finding the wall thickness of a thin-walled cylindrical pressure vessel based up on the plastic range and so-called "instability" or maximum pressure that can be produced in the vessel. A paper by W.E. Cooper covers a similar theory for isotropic materials. This paper extends the theory to nonisotropic materials. In addition, comparisons are made between available test results and theory. Comparisons with current design code requirements are also included. For certain materials, temperatures and states of combined stress, brittle type material behavior occurs with relatively small plastic deformations being produced prior to fracture. Failure under these circumstances is the brittle cohesive type of failure. Materials and conditions with this latter type of behavior are not included in the present discussion.
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| Number of Pages : | 19 |
| Published : | 1958 |
