Computational Continuum Mechanics

Por: Swayam . en: ,

Week 1:Introduction – origins of nonlinearityWeek 2:Mathematical Preliminaries -1: Tensors and tensor algebraWeek 3:Mathematical Preliminaries -2: Linearization and directional derivative, Tensor analysisWeek 4:Kinematics – 1: Deformation gradient, Polar decomposition, Area and volume change
Week 5:Kinematics – 2: Linearized kinematics, Material time derivative,Rate of deformation and spin tensorWeek 6:Kinetics – 1 : Cauchy stress tensor, Equilibrium equations,Principle of virtual workWeek 7:Kinetics – 2 : Work conjugacy, Different stress tensors, Stress ratesWeek 8:Hyperelasticity - 1: Lagrangian and Eulerian elasticity tensor
Week 9:Hyperelasticity - 2: Isotropic hyperelasticity, Compressible Neo-Hookean materialWeek 10:Linearization : Linearization of internal virtual work, Linearization of external virtual workWeek 11:Discretization: Discretization of Linearized equilibrium equations – material and geometric tangent matricesWeek 12:Solution Procedure: Newton-Raphson procedure, Line search and Arc length method

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