ME521_Lecture_02

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

This preview shows pages 1–7. Sign up to view the full content.

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

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

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....
View Full Document

## This note was uploaded on 07/23/2008 for the course ME 521 taught by Professor Cimbala during the Fall '07 term at Penn State.

### Page1 / 7

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

This preview shows document pages 1 - 7. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online