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# lecture_i2 - 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 I: Deformation and Strain 2. Infinitesimal Deformation
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 n ε · n t ε nn n = λ( n ) n n=u I ε⋅ n = ε I u I t=u II nt t = γ( n,t ) t E ≈ε = (grad ξ + t grad ξ ) 1 2 Principal Strain Dilatation + Distortion Linearized Strain Tensor
1.033/1.57: Mechanics of Material Systems d X d x ' d x d X d x ' d x Ω × d X θ Finite Deformation : d x =( R · D d X Infinitesimal Deformation : d x =( 1 + ε d X+ Ω × d X Polar Decomposition

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1.033/1.57: Mechanics of Material Systems
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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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lecture_i2 - 1.033/1.57 Mechanics of Material Systems...

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