Topic 1

Introduction to Nonlinear Analysis Contents:

• Introduction to the course • The importance of nonlinear analysis • Four illustrative films depicting actual and potential nonlinear analysis applications • General recommendations for nonlinear analysis • Modeling of problems • Classification of nonlinear analyses • Example analysis of a bracket, small and large deformations, elasto-plastic response • Two computer-plotted animations -elasto-plastic large deformation response of a plate with a hole -large displacement response of a diamond-shaped frame • The basic approach of an incremental solution • Time as a variable in static and dynamic solutions • The basic incremental/iterative equations • A demonstrative static and dynamic nonlinear analysis of a shell

Textbook:

Section 6.1

Examples:

6.1,6.2,6.3,6.4

Reference:

The shell analysis is reported in Ishizaki, T., and K. J. Bathe, "On Finite Element Large Displacement and Elastic-Plastic Dynamic Analysis of Shell Structures," Computers & Structures, 12, 309-318, 1980.

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