Nonlinear Static Analysis

  • James F. Doyle
Part of the Mechanical Engineering Series book series (MES)


In the general case of thin-walled structures, we can have both large displacements and large strains. This renders the governing equations highly nonlinear and therefore they can only be solved using computational methods. Furthermore, because of the complicated load history dependence, this suggests a time or load incremental solution. We combine these two requirements into an incremental/iterative solution algorithm. The total Lagrangian and corotational schemes are introduced as specific examples of solution schemes. These are combined with a Newton-Raphson iteration scheme for the actual solution of the nonlinear equations.


Virtual Work Elastic Stiffness Tangent Stiffness Equilibrium Path Stiffness Relation 
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Copyright information

© Springer Science+Business Media New York 2001

Authors and Affiliations

  • James F. Doyle
    • 1
  1. 1.Department of Aeronautics and AstronauticsPurdue UniversityWest LafayetteUSA

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