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Lec 1B

Lec 1B - Physics of Failures In theory failures can be...

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Page 1 Physics of Failures In theory failures can be understood using principles of physics and chemistry Constructing mathematical models to correlate causal variables with failures Can demonstrate how failures occur and when they will occur Only a very limited number of useful models are available Detailed understanding of causes of failures and failure processes is required for each failure mode Even these limited number of models carry a lot of assumptions and have very limited uses In this lecture we will not discuss these limited models as they are too specialized.

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Page 2 Probabilistic Nature of Failures Limited data on the physical state of a system Imprecise measurement of the relevant physical constants and variables Incomplete knowledge of the physical and chemical processes that result in a failure Events external to the system such as heat and/or vibration that cause failures are often random in nature. Failures often appear to occur at random over time Identical copies of a product under identical operational conditions do not behave the same way This randomness exhibits a pattern that can be modeled by a probability distribution allows us to predict the failure behavior of these systems statistically
Page 3 Set Notations Definition Set A = A collection of objects A = Ø if A contains no members a Є A = a is an object (an element or a member ) of A : = such that Examples A = { a : a is a member of our class } = { list of all your names } A = { a : a is a failure of a product} = { list of all possible failures of a product} Venn Diagram of a set : A closed geometrical figure which embraces all elements Set A Element a i

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Lec 1B - Physics of Failures In theory failures can be...

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