Abstract

Elastic follow up significantly influences the creep and creep-fatigue life of structural components in elevated temperature service. As such, assessing the amount of follow up a component sees under a given loading history is critical in properly designing a component for high temperature use. Current methods for quantifying elastic follow up based on an elastic follow up factor use simple constitutive models and are available only for simple component geometries. This work describes a method for assessing the follow up factor, as a function of position and time, from a finite element simulation. The method recovers the simple, analytic solutions for simple geometries and material models but can also provide follow up factors for complicated components, loading histories, and material models. We use this new method to assess the range of follow up factors in a variety of prototypical high temperature structural components. This information can be used to improve design methods by better understanding the magnitude of follow up present in typical high temperature components. The method can also be used to support new design methods that require time-dependent point values of the follow up factor across a component.

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