ME521_Lecture_02

ME521_Lecture_02 - should not appear more than twice in any...

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ME 521 Fall 2007 Professor John M. Cimbala Lecture 02 08/29/2007 Today, we will : Discuss tensor notation and its rules and consequences Do some example problems – tensor notation Recall from the pdf “handout” on the website: Rules for Tensor Notation Rule # 1. The words “for i = 1,2, or 3” are implied when i is a free index. Rule # 2. Summation from 1 to 3 is implied by a dummy (repeated) index. Rule # 3. Two terms in an expression should not have different free indices. Rule # 4. An index
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Unformatted text preview: should not appear more than twice in any given term in an expression. Consequences of Tensor Notation Consequence # 1. The number of free indices determines the order of an expression. Consequence # 2. Any letter can be used for a dummy index, as long as it is not already a free index. Consequence # 3. A letter being used as a dummy index can be changed to some other letter ( i to j or m to n , for example), as long as the new letter is not already a free index in the expression....
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ME521_Lecture_02 - should not appear more than twice in any...

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