A Theoretical Framework for Accelerated Testing
A minimal criteria for building a model that is to be used for extrapolating from experimental data taken at accelerated conditions, to expected degradation or failure at operating conditions is that the model be consistent with both the data and existing physical knowledge. In order to be able to check whether a model is consistent with physical knowledge, it must be expressed as a physical hypothesis.
These simple criteria result in a rich framework for developing extrapolation models, a sort of cross product of the knowledge in material physics with that in statistics. In order to make this framework useful, it is necessary to develop tools which guide the reliability engineer through the richness without overwhelming them.
The mathematics associated with these tools results in a new understanding of accelerated testing, one that is quite different in many situations from the understanding based on accelerated life type models, and one that has many new mathematical challenges. After a quick overview, we will focus on one particular tool, the demarcation map, which to date appears to offer the most radical new engineering insights and mathematical questions.
Keywords and phrasesAccelerated testing reliability chemical kinetics thermodynamics experimental design
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