lecture_iii_5

lecture_iii_5 - 1.033/1.57 Mechanics of Material Systems...

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Unformatted text preview: 1.033/1.57 Mechanics of Material Systems Mechanics of Material Systems (Mechanics and Durability of Solids I) Franz-Josef Ulm Lecture: MWF1 // Recitation: F 3:00-4:30 1.033/1.57 1.033/1.57 Mechanics of Material Systems Part III: Elasticity and Elasticity Bounds 5. Thermoelasticity 1.033/1.57 Mechanics of Material Systems Part I. Deformation and Strain 1 Description of Finite Deformation 2 Infinitesimal Deformation Part II. Momentum Balance and Stresses 3 Momentum Balance 4 Stress States / Failure Criterion Part III. Elasticity and Elasticity Bounds 5 Thermoelasticity, 6 Variational Methods Part IV. Plasticity and Yield Design 7 1D-Plasticity – An Energy Approac 8 Plasticity Models 9 Limit Analysis and Yield Design Content 1.033/1.57 1.033/1.57 Mechanics of Material Systems • UNKNOWNS – 6 strains ε ij = ε ji – 6 stresses σ ij = σ ji – 3 displacements ξ i • EQUATIONS – 3 Momentum Balance σ ij,j + ρ f i = 0 – 6 Strain-Displacement Relations: 2 ε ij = ξ i,j + ξ j,i Σ = 15 Σ = 9 ∆ = 15 − 9 = 6 6 Missing Relations The Necessity of Material Laws 1.033/1.57 Mechanics of Material Systems1....
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lecture_iii_5 - 1.033/1.57 Mechanics of Material Systems...

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