MT-1620 al.2002 Since stress and strain have components in several directions we need a notation to represent these(as you learnt initially in Unified Several possible Tensor(indicial) notation · Contracted notation will review here Engineering notation and g/ve examples Matrix notation in recitation IMPORTANT: Regardless of the notation the equations and concepts have the same meaning =earn be comfortable with be able to use all notations Tensor(or Summation) notation Easy"'to write complicated formulae Easy' to mathematically manipulate Elegant, rigorous Use for derivations or to succinctly express a set of equations or a long equation Paul A Lagace @2001 Unit 3-p. 4MIT - 16.20 Fall, 2002 Since stress and strain have components in several directions, we need a notation to represent these (as you learnt initially in Unified) Several possible • Tensor (indicial) notation • Contracted notation will review here • Engineering notation and give examples • Matrix notation in recitation IMPORTANT: Regardless of the notation, the equations and concepts have the same meaning ⇒ learn, be comfortable with, be able to use all notations Tensor (or Summation) Notation • “Easy” to write complicated formulae • “Easy” to mathematically manipulate • “Elegant”, rigorous • Use for derivations or to succinctly express a set of equations or a long equation Paul A. Lagace © 2001 Unit 3 - p. 4