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PHY 7 11 Classical Mechanics and Mathematical Methods 11-11:50 AM MWF Olin 107

This lecture covers the physics of elastic continua, focusing on elastic energy and waves in elastic media. Topics include deformation, stress tensor, strain, dynamical equations of motion, and empirical parameters. The lecture also discusses the distribution of terms in the elasticity equations and provides some typical values.

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PHY 7 11 Classical Mechanics and Mathematical Methods 11-11:50 AM MWF Olin 107

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  1. PHY 711 Classical Mechanics and Mathematical Methods • 11-11:50 AM MWF Olin 107 • Plan for Lecture 35 • Physics of elastic continua – • Chap. 13 in F & W • Elastic energy • Waves in elastic media PHY 711 Fall 2016 -- Lecture 35

  2. PHY 711 Fall 2016 -- Lecture 34 PHY 711 Fall 2013 -- Lecture 34 2

  3. Brief introduction to elastic continua r1’ r1 deformation reference PHY 711 Fall 2016 -- Lecture 34

  4. Elastic stress tensor material-dependent empirical parameters PHY 711 Fall 2016 -- Lecture 34

  5. Strain Stress PHY 711 Fall 2016 -- Lecture 34

  6. bulk contribution surface contribution PHY 711 Fall 2016 -- Lecture 34

  7. PHY 711 Fall 2016 -- Lecture 34

  8. Note that the two relations: PHY 711 Fall 2016 -- Lecture 34

  9. Dynamical equations of motion external force density PHY 711 Fall 2016 -- Lecture 34

  10. PHY 711 Fall 2016 -- Lecture 34

  11. Dynamical equations of elastic continuum PHY 711 Fall 2016 -- Lecture 34

  12. Dynamical equations of elastic continuum Transverse component: PHY 711 Fall 2016 -- Lecture 34

  13. Dynamical equations of elastic continuum Longitudinal component -- continued: PHY 711 Fall 2016 -- Lecture 34

  14. Some values: PHY 711 Fall 2016 -- Lecture 34

  15. Elasticity in solids z y x vanishes at equilibrium PHY 711 Fall 2016 -- Lecture 34

  16. For the most general case cijklhave 21 distrinct terms, for a cube there are only 3 unique terms. PHY 711 Fall 2016 -- Lecture 34

  17. Some typical values (Ref. Ashcroft and Mermin (1976)) PHY 711 Fall 2016 -- Lecture 34

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