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Unformatted text preview: 1.050 Engineering Mechanics Lecture 22: Isotropic elasticity 1.050 – Content overview I. Dimensional analysis 1. On monsters, mice and mushrooms 2. Similarity relations: Important engineering tools II. Stresses and strength 3. Stresses and equilibrium 4. Strength models (how to design structures, foundations.. against mechanical failure) III. Deformation and strain 5. How strain gages work? 6. How to measure deformation in a 3D structure/material? IV. Elasticity 7. Elasticity model – link stresses and deformation 8. Variational methods in elasticity V. How things fail – and how to avoid it 9. Elastic instabilities 10. Plasticity (permanent deformation) 11. Fracture mechanics Lectures 13 Sept. Lectures 415 Sept./Oct. Lectures 1619 Oct. Lectures 2031 Oct./Nov. Lectures 3237 Dec. 1.050 – Content overview I. Dimensional analysis II. Stresses and strength III. Deformation and strain IV. Elasticity Lecture 20: Introduction to elasticity (thermodynamics) Lecture 21: Generalization to 3D continuum elasticity Lecture 22: Special case: isotropic elasticity Lecture 23: Applications and examples … V. How things fail – and how to avoid it Important concepts: Isotropic elasticity • Isotropic elasticity = elastic properties do not depend on direction • In terms of the free energy change , this means that the change of the free energy does not depend on the direction of deformation • Rather, it depends on quantities that are independent on the direction of deformation (i.e., independent of coordinate system) • Idea: Use invariants of strain tensor to calculate free energy change – Volume change –...
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This note was uploaded on 11/29/2011 for the course CIVIL 1.018j taught by Professor Markusbuehler during the Fall '08 term at MIT.
 Fall '08
 MarkusBuehler

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