# ha1 - 16.20 Handed Out: Lecture 5 Due: Lecture 9 HOME...

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16.20 Handed Out: Lecture 5 Due: Lecture 9 HOME ASSIGNMENT #1 Warm-Up Exercises Write out the following tensor equations in full: ( Note: these equations do not necessarily have any real meaning) 1. G i = l αβ M αβ n i 2. A ij = Q ijk l τ k x l (for i = 2, j = 3) 3.± a mn u n + f m = 0 t 4.± 1 E = 2 σ αβ ε αβ 5. σ 23 = l 2m l 3n ˜ σ ˜ ˜ ˜ mn Practice Problems 6. Write out the succinct tensor equation that describes the following notation: H 1 C 111 C 122 2C 112  M 11 H 2 = C 211 C 222 2C 212 M 22 H 3 C 311 C 322 2C 312 M 12 Note any assumptions that you had to make (if any).

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16.20 Home Assignment #1 Page 2 Fall, 2002 7. The following is the tensorial form of the strain compatibility equations: 2 ε nk + 2 ε m l 2 ε n l 2 ε mk = 0 ∂∂ y l y k y k y l y m y n y m y n Write one useful equation represented by this generic form. Convert this equation to engineering notation as well.
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## This note was uploaded on 02/03/2012 for the course AERO 16.20 taught by Professor Paullagace during the Fall '02 term at MIT.

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ha1 - 16.20 Handed Out: Lecture 5 Due: Lecture 9 HOME...

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