Non-cyclic Shakedown-Ratcheting Boundary Determination: Analytical Examples

摘要

The classical lower and upper bound shakedown theorems cannot predict the complete boundary between shakedown and ratcheting (ratchet boundary) since they address only shakedown to elastic action. This limits the usefulness of the classical shakedown theorems for pressure vessel design, since in practice stresses often locally exceed the elastic limit. A convenient method to obtain the entire ratchet boundary without the need for cyclic analysis was previously proposed by the authors. This method is applied in the present paper to determine the elastic and plastic ratchet boundary of several practically significant configurations analytically. The examples include some classical problems found in the literature (such as Bree problem) and new solutions for configurations with uniaxial and multiaxial stress states.