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