Advanced Finite Elements Analysis

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Basic of non-linear finite element analysis – Heat transfer problem – Incremental-iterative approach – Incremental procedure – Simple non-linear problem – Stress update algorithm – Hardening material – Delta epsilon – Rate dependent – Selective reduced integration – Constitutive equation – Stress update algorithms – Continuum mechanics – Mapping function – Transformation of a surface – Projection tensor – Kirchhoff stress measure – Material derivative – Yield surface – Gateaux derivative – Internal energy – Stress measures and Strain measures – Frame indifferent quantities – Constitutive equations – Hyperelastic case – Anisotropic and Isotropic materials – Strain energy function – Equilibrium equation – Lagrangian formulation – Geometric stiffness term

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