Lecture 11: Solution of Nonlinear Static FE Equations II

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Topics: Solution of the nonlinear finite element equations in static analysis II

  • Automatic load step incrementation for collapse and post-buckling analysis
  • Constant arc-length and constant increment of work constraints
  • Geometrical interpretations
  • An algorithm for automatic load incrementation
  • Linearized buckling analysis, solution of eigenproblem
  • Value of linearized buckling analysis
  • Example analysis: Collapse of an arch - linearized buckling analysis and automatic load step incrementation, effect of initial geometric imperfections

Instructor: Klaus-Jürgen Bathe

Related Resources

Study Guide (PDF)

Readings

Sections 6.1, 6.8, 8.4

References

Bathe, K. J., and E. Dvorkin. “On the Automatic Solution of Nonlinear Finite Element Equations.Computers & Structures 17 (1983): 871-879.