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Solution Methods for Nonlinear Finite Element …

1 Solution Methods for Nonlinear Finite Element analysis (NFEA)Kjell Magne MathisenDepartment of Structural EngineeringNorwegian University of Science and TechnologyLecture 11: Geilo Winter School - January, 2012 Geilo 20122 Outline Linear versus Nonlinear reponse Fundamental and secondary path Critical points Why Nonlinear Finite Element analysis (NFEA) ? Sources of nonlinearities Solving Nonlinear algebraic equations by Newton s method Line search procedures and convergence criteria Arc-length Methods Implicit dynamicsGeilo 20123 Linear vs Nonlinear Respons Numerical simulation of the response where both the LHS and RHS depends upon the primary unknown.

1 Solution Methods for Nonlinear Finite Element Analysis (NFEA) Kjell Magne Mathisen Department of Structural Engineering Norwegian University of …

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