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Dr K M Knowles

In this course, attention will be focused on a description and analysis of yield criteria for the plastic flow of materials, together with simplified analyses of plastic deformation in the context of materials deformation, particularly with regards to metal forming processes such as extrusion, forging and wire drawing.

The principles established in this course will help students to obtain an appreciation of solid mechanics sufficient to enable them to use sophisticated finite element modelling computer programs to analyse ‘real world’ metal processing situations more complex than those considered in this course. In particular the principles established in this course will help students to develop the key skills required to assess intuitively whether or not predictions from such programs are physically reasonable.

This lecture course will cover:

  • Plastic flow and its microscopic physical and macroscopic engineering descriptions.
  • A consideration of the ways in which crystalline metallic materials are able to accommodate general changes in strain through glide of dislocations and through twinning.
  • Yield criteria in metals, polymeric materials and geological materials
  • Analyses of plane stress plastic deformation and plane strain plastic deformation situations
  • Estimates of forces and pressures required to enable simple deformation processing operations to take place using analytical (slip-line field) solutions and upper bound analyses.