1.033/1.57 Mechanics of Material Systems (Mechanics and Durability of Solids I) - PowerPoint PPT Presentation

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1.033/1.57 Mechanics of Material Systems (Mechanics and Durability of Solids I)

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Elasticity and Elasticity Bounds 5 Thermoelasticity, 6 Variational Methods Part IV. Plasticity and Yield Design 7 1D-Plasticity An Energy Approac 8 ... – PowerPoint PPT presentation

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Title: 1.033/1.57 Mechanics of Material Systems (Mechanics and Durability of Solids I)


1
1.033/1.57 Mechanics of Material
Systems(Mechanics and Durability of Solids I)
  • Franz-Josef Ulm
  • Lecture MWF1 // Recitation F300-430

2
  • Part II Momentum Balance,
  • Stresses and Stress States
  • 3. Momentum Balance

3
Content 1.033/1.57
  • 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

4
Body Surface Forces
5
Hypothesis of local contact forcesAction-Reactio
n Law
6
Tetrahedron Lemma Stress vector T(n)
7
Cauchy Stresses sij and Stress Vector T(n)
Stress Vector Tj sijnj
Components of sij
8
Exercise Two-Layer Soil Substratum
9
Reduction Formulae
10
Momentum Balance and Symmetry of Stress Tensor
Dynamic Moment Theorem
Dynamic Resultant Theorem
11
Training Set Pressure Vessel Formula
12
Momentum Balance in Cylinder
Coordinates
Radial Direction
13
Vessel Formula by ReductionElements
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