Computational Continuum Mechanics free videos and free material uploaded by Indian Institute of Technology, Guwahati (IIT Guwahati). This session contains about Computational Continuum Mechanics Updated syllabus , Lecture notes , videos , MCQ , Privious Question papers and Toppers Training Provided Training of this course. If Material not uploaded check another subject
Week 1:Introduction – origins of nonlinearity
Week 2:Mathematical Preliminaries -1: Tensors and tensor algebra
Week 3:Mathematical Preliminaries -2: Linearization and directional derivative, Tensor analysis
Week 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 tensor
Week 6:Kinetics – 1 : Cauchy stress tensor, Equilibrium equations,Principle of virtual work
Week 7:Kinetics – 2 : Work conjugacy, Different stress tensors, Stress rates
Week 8:Hyperelasticity - 1: Lagrangian and Eulerian elasticity tensor
Week 9:Hyperelasticity - 2: Isotropic hyperelasticity, Compressible Neo-Hookean material
Week 10:Linearization : Linearization of internal virtual work, Linearization of external virtual work
Week 11:Discretization: Discretization of Linearized equilibrium equations – material and geometric tangent matrices
Week 12:Solution Procedure: Newton-Raphson procedure, Line search and Arc length method
Continuum mechanics as a full-fledged course is a very interesting but a challenging subject. Usually,its application within the nonlinear finite element codes is not clear to the student. Computational continuum mechanics tries to bridge this gap. Hence, it can be treated as an applied version of continuum mechanics course. It assumes no prior exposure to continuum mechanics. The course starts with sufficient introduction to tensors, kinematics, and kinetics. Then, the course applies these concepts to set up the constitutive relations for nonlinear finite element analysis of a simple hyperelastic material. This is followed by the linearization of the weak form of the equilibrium equations followed by discretization to obtain the finite element equations, in particular, the tangent matrices and residual vectors is discussed. Finally, the Newton-Raphson solution procedure is discussed along with line search and arc length methods to enhance the solution procedure.
INTENDED AUDIENCE :Masters student and research scholars
PREREQUISITES : Introduction to Solid Mechanics I and II, A undergraduate course in Engineering Mathematics. Exposure to undergraduate course on numerical methods will be an added advantage.
INDUSTRIES SUPPORT :VSSC, ISRO, Siemens India Limited, Ansys India or any firm involved in R&D involving finite element analysis
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