Introduction to Finite Element Method

IIT Madras Course , Prof. R. Krishnakumar

Lecture 1:

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Lecture Details :

Introduction to Finite Element Method by Dr. R. Krishnakumar,Department of Mechanical Engineering,IIT Madras.For more details on NPTEL visit http://nptel.ac.in

Course Description :

Computational methods in design and manufacturing - Application of finite element analysis - Basis of finite element analysis - Stiffness Matrix - Surface forces and Body forces - Difference between stress vector and stress tensor - Sigma and Delta - Normal stress and Shear stress - Additive decomposition - Strain energy density - Stress and Strain - Three dimensional behavior - Functional - Stiffness matrix - Finite element analysis - Initial strain and initial stress - Displacement - Interpolation - Isoparametric formulation - Stiffness matrix - Isoparametric elements - Coordinate system - Stiffnesses - Reduced integration - Steady state and transient - Kappa matrix for isotropic material - Trapezoidal rule - Boundary condition - Zeros matrix - Contact definition - Manufacturing process - Finite element analysis - plane stress, plane strain,axi-symmetric, three-dimensional solid elements

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