lecture_ii_3

lecture_ii_3 - 1.033/1.57 Mechanics of Material Systems...

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1.033/1.57 Mechanics of Material Systems Mechanics of Material Systems (Mechanics and Durability of Solids I) Franz-Josef Ulm Lecture: MWF1 // Recitation: F3:00-4:30 1.033/1.57
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1.033/1.57 Mechanics of Material Systems Part II: Momentum Balance, Stresses and Stress States 3. Momentum Balance
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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
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1.033/1.57 Mechanics of Material Systems ρ f ( x , t ) n T ( x , t , n ) t d t ∂Ω t Body & Surface Forces
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1.033/1.57 Mechanics of Material Systems n + n ∂Ω t 0 T ( n ) T ( n ) + n T ( n ) n T ( n ) (a) (b) Hypothesis of local contact forces = Action-Reaction ‘Law’
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1.033/1.57 Mechanics of Material Systems n e 2 e 3 T ( n ) dS 2 =n 2 dS e 3 dS 3 =n 3 dS e 1 dS 1 =n 1 dS ron Lemma: Stress vector T(n)
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1.033/1.57 Mechanics of Material Systems
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lecture_ii_3 - 1.033/1.57 Mechanics of Material Systems...

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