AE40038: Nonlinear Finite Element Method

AE40038
Course name	Nonlinear Finite Element Method
Offered by	Aerospace Engineering
Credits	3
L-T-P	3-0-0
Previous Year Grade Distribution
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Semester	Spring

Syllabus

Syllabus mentioned in ERP

Prerequisites: AE40003 3 - 0 - 0: 3 CreditsSources of nonlinearities in structural problems: material, geometry, forces, boundary conditions; General features of nonlinear response: equilibrium trajectories, path dependencies, critical points, Geometrically nonlinear finite elements: residual and incremental forms. Finite element Total Lagrangian and corotational formulations, FEM nonlinear equilibrium equations: initial stress, tangent and secant stiffness, geometric stiffness; Solution of nonlinear equations: classification, incremental control techniques, augmented equation methods, incremental and pseudo-force methods, Newton Methods, Secant (quasi-Newton) methods, Acceleration and line search, dynamic relaxation, determination and transversal of critical points. Computer implementation: model definition, element level calculation, equation assembly, nonlinear equation solver, residual evaluation, post-processing, Nonlinear constitutive models, Applications to structural stability analysis and bifurcations, nonlinear static analysis and nonlinear transient problems (implicit vs. explicit time integration techniques), Treatment of constraints