Nonlinear Analysis

Lecture 7: 2D & 3D Solid Elements; Plane Stress/Strain Conditions

Topics: Two- and three-dimensional solid elements; plane stress, plane strain, and axisymmetric conditions

  • Isoparametric interpolations of coordinates and displacements
  • Consistency between coordinate and displacement interpolations
  • Meaning of these interpolations in large displacement analysis, motion of a material particle
  • Evaluation of required derivatives
  • The Jacobian transformations
  • Details of strain-displacement matrices for total and updated Lagrangian formulations
  • Example of 4-node two-dimensional element, details of matrices used

Instructor: Klaus-Jürgen Bathe

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