Introduction, linear vs. nonlinear Problems, Classification of nonlinearity, Boundary and Force Nonlinearities. Nonlinear Finite Element Equations, Solution methods,
Material Nonlinearity
Material model Stress-strain relation in Elastic zone, Failure theories. Material model Stress-strain relation in Plastic zone. Nonlinear elastic material, Elasto-plastic material, Material model Stress-strain relation Visco-elastic material, Hyper Elastic material
Geometrical Nonlinearity
Relations among nonlinear kinematic quantities (i.e., displacement, rotation and strains). Finite Element Formulation of Buckling Problems with Example
Static Analysis – Contact Nonlinearity
Boundary and Force Nonlinearities, Nonlinear displacement boundary condition (Kinematic nonlinearity), Nonlinear force boundary condition (Kinetic nonlinearity)
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