# Franz-Josef Ulm Lecture: MWF1 // Recitation: F3:00-4:30

## Presentation on theme: "Franz-Josef Ulm Lecture: MWF1 // Recitation: F3:00-4:30"— Presentation transcript:

Franz-Josef Ulm Lecture: MWF1 // Recitation: F3:00-4:30
1.033/ Mechanics of Material Systems (Mechanics and Durability of Solids I) Franz-Josef Ulm Lecture: MWF1 // Recitation: F3:00-4:30 1.033/1.57: Mechanics of Material Systems

Part II: Momentum Balance, Stresses and Stress States
1.033/1.57: Mechanics of Material Systems

1.033/1.57: Mechanics of Material Systems
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 1.033/1.57: Mechanics of Material Systems

1.033/1.57: Mechanics of Material Systems
Body & Surface Forces 1.033/1.57: Mechanics of Material Systems

Hypothesis of local contact forces =Action-Reaction ‘Law’
1.033/1.57: Mechanics of Material Systems

Tetrahedron Lemma: Stress vector T(n)
1.033/1.57: Mechanics of Material Systems

Cauchy Stresses σij and Stress Vector T(n)
Components of σij Stress Vector Tj= σijnj 1.033/1.57: Mechanics of Material Systems

Exercise: Two-Layer Soil Substratum
1.033/1.57: Mechanics of Material Systems

1.033/1.57: Mechanics of Material Systems
Reduction Formulae Section =Relation between local stress and section forces and moments Oriented Surface Position Vector in Section Stress Vector 1.033/1.57: Mechanics of Material Systems

Momentum Balance and Symmetry of Stress Tensor
Dynamic Resultant Theorem Dynamic Moment Theorem 1.033/1.57: Mechanics of Material Systems

Training Set: Pressure Vessel Formula
1.033/1.57: Mechanics of Material Systems

Momentum Balance in Cylinder
Coordinates Radial Direction: 1.033/1.57: Mechanics of Material Systems

Vessel Formula by Reduction Elements
1.033/1.57: Mechanics of Material Systems

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