everything.study
3.11

Mechanics of Materials

Graduate · Historical course

Fall 1999

Topics

  • Introduction to Subject, Tensile Strength and Stiffness
  • Strain Energy Basis of Elasticity, Thermal Strain
  • Entropy-controlled Elasticity
  • Introduction to Viscoelasticity
  • Composite Materials
  • Stress-strain Curves, Compression
  • Forces in Trusses
  • Truss Deflections and Castigliano’s Method
  • Matrix Analysis of Trusses
  • Pressure Vessel Stresses and Deformations
  • Application of Viscoelasticity Theory to Pressure Vessels - Convolution Integral Method
  • Shearing Stress and Strain, Torsion of Circular Shafts
  • Torsional Displacements
  • The Kinematic Equations (Strain-Displacement Relations)
  • The Equilibrium Equations
  • Tensor Transformations, Mohr’s Circle
  • Constitutive Relations
  • Anisotropic Materials
  • Statics of Beam Bending - Shear and Bending Moment Diagrams
  • Normal and Shear Stresses in Beams
  • Beam Bending Displacements
  • Closed-Form Solutions
  • Experimental Stress Analysis
  • Finite Element Analysis
  • Yield - Phenomenological Aspects, Multiaxial Stress States
  • Effect of Hydrostatic Pressure, Effect of Rate and Temperature
  • Role of Dislocations in Crystalline Slip
  • Dislocation Motion and Hardening
  • Creep
  • Continuum Plasticity
  • Statistics of Fracture
  • The Zhurkov Kinetic Model of Fracture
  • The Griffith Approach to Fracture Mechanics, Compliance Calibration
  • Stress Intensity Approach, Effect of Specimen Geometry, Effect of Grain Size and Temperature
  • Fatigue

Readings

  • Gere, J. M., and S. P. Timoshenko. Mechanics of Materials. 5th ed. Boston: PWS Kent Publishing, 1970.
    Required
  • Ashby, M. F., and D. R. H. Jones. Engineering Materials, An Introduction to their Properties and Applications. 2nd ed. Butterworth Heinemann.
    Required
  • Collins, J. A. Failure of Materials in Mechanical Design. 2nd ed. John Wiley & Sons, 1993.
    Listed reading
  • Courtney, T. H. Mechanical Behavior of Materials. McGraw-Hill, 1990.
    Listed reading
  • Hertzberg, R. W. Deformation and Fracture Mechanics of Engineering Materials. 4th ed. John Wiley & Sons, 1996.
    Listed reading
  • Nash, W. A. Strength of Materials. 3d ed. Schaum’s Outline Series, McGraw-Hill, 1994.
    Listed reading
Sources