summary5 - material forces only as function of position,...

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Lecture 5 - summary Introduction of the continuum model Three scales: Structural scale (H,B,D. .) >> REV >> molecular scale The three scales are separated (“>>” operator) Goal: Derivation of equilibrium equations for REV d Ω d Ω Continuum representative Atomic bonds volume element O(Angstrom=1E-10m) REV Equilibrium: Definition of stress tensor (description of
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Unformatted text preview: material forces only as function of position, External forces: not normal): Stress vector Integration over entire material/structure volume: Complete problem (Dynamic Resultant + Moment Theorems): Local equilibrium: : on S ) ( : on n T T d = Ω ∂ =0 (static) Skyscraper photograph courtesy of jochemberends on Flickr....
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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.

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