Computational Continuum Mechanics

Engineering

2024-01-19

Lessons List

Computational Continuum Mechanics Intro Video

Lec 1 Origin of nonlinearities 1

Lec 2 Origin of nonlinearities 2

Lec 3 Tensor and Tensor Algebra 1

Lec 4 Tensor and Tensor Algebra 2

Lec 5 Tensor and Tensor Algebra 3

Lec 6 Tensor and Tensor Algebra 4

Lec 7 Linearization and directional derivative Tensor analysis 1

Lec 8 Linearization and directional derivative Tensor analysis 2

Lec 9 Worked Examples 1

Lec 10 Worked Examples 2

Lec 11 Idea of Motion Material and Spatial Descriptions Deformation Gradient Tensor

Lec 12 Strain Polar Decomposition 1

Lec 13 Polar Decomposition 2 Volume and Area Change

Lec 14 Worked Examples Linearized Kinematics

Lec 15 Velocity Acceleration Material Time Derivative

Lec 16 Velocity Gradient Rate of Deformation tensor Area Volume Rate Reynolds Transport Theorem

Lec 17 Solved Examples

Lec 18 Conservation of Mass Balance of Linear Momentum Cauchy s Stress Lec 18 Principle 1

Lec 19 Cauchy s Stress Principle 2 Cauchy Stress Tensor

Lec 20 Objectivity Stress Objectivity Equilibrium Equations 1

Lec 21 Equilibrium Equations 2 Principle of Virtual Work

Lec 22 Work Conjugacy First Piola Kirchhoff Stress Tensor

Lec 23 Second Piola Kirchhoff Stress Tensor Decomposition of Stress 1

Lec 24 Decomposition of Stress 2 Objective Stress Measures

Lec 25 Solved Examples

Lec 26 Constitutive relations and constraints Hyperelasticity Material elasticity tensor

Lec 27 Spatial Elasticity Tensor Solved Example

Lec 28 Isotropic hyperelasticity material and spatial description Hyperelastic models

Lec 29 Isotropic Hyperelasticity Neo Hookean Material Model Solved Examples

Lec 30 Introduction Linearization Process Overview

Lec 31 Linearization of Internal Virtual Work and External Virtual Work

Lec 32 Discretization of Kinematic Quantities Equilibrium Equations

Lec 33 Discretization of Linearized Equilibrium Equations

Lec 34 Newton Raphson Method

Lec 35 Line Search Method

Lec 36 Arc Length Method Solved Examples

Lec 37 FE Formulation of Ductile Fracture in Dynamic Elasto Plastic Contact Problem Introduction

Lec 38 FE Formulation of Ductile Fracture in Dynamic Elasto Plastic Contact Problem Formulation

Lec 39 FE Formulation of Ductile Fracture in Dynamic Elasto Plastic Contact Problem FEM

Lec 40 FE Formulation of Ductile Fracture in Dynamic Elasto Plastic Contact Problem Results

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Computational Continuum Mechanics course in hindi, in this course we explore Computational Continuum Mechanics, delving into simulations and analysis of complex materials and structures.

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Computational Continuum Mechanics

Engineering

Computational Continuum Mechanics Intro Video

Lec 1 Origin of nonlinearities 1

Lec 2 Origin of nonlinearities 2

Lec 3 Tensor and Tensor Algebra 1

Lec 4 Tensor and Tensor Algebra 2

Lec 5 Tensor and Tensor Algebra 3

Lec 6 Tensor and Tensor Algebra 4

Lec 7 Linearization and directional derivative Tensor analysis 1

Lec 8 Linearization and directional derivative Tensor analysis 2

Lec 9 Worked Examples 1

Lec 10 Worked Examples 2

Lec 11 Idea of Motion Material and Spatial Descriptions Deformation Gradient Tensor

Lec 12 Strain Polar Decomposition 1

Lec 13 Polar Decomposition 2 Volume and Area Change

Lec 14 Worked Examples Linearized Kinematics

Lec 15 Velocity Acceleration Material Time Derivative

Lec 16 Velocity Gradient Rate of Deformation tensor Area Volume Rate Reynolds Transport Theorem

Lec 17 Solved Examples

Lec 18 Conservation of Mass Balance of Linear Momentum Cauchy s Stress Lec 18 Principle 1

Lec 19 Cauchy s Stress Principle 2 Cauchy Stress Tensor

Lec 20 Objectivity Stress Objectivity Equilibrium Equations 1

Lec 21 Equilibrium Equations 2 Principle of Virtual Work

Lec 22 Work Conjugacy First Piola Kirchhoff Stress Tensor

Lec 23 Second Piola Kirchhoff Stress Tensor Decomposition of Stress 1

Lec 24 Decomposition of Stress 2 Objective Stress Measures

Lec 25 Solved Examples

Lec 26 Constitutive relations and constraints Hyperelasticity Material elasticity tensor

Lec 27 Spatial Elasticity Tensor Solved Example

Lec 28 Isotropic hyperelasticity material and spatial description Hyperelastic models

Lec 29 Isotropic Hyperelasticity Neo Hookean Material Model Solved Examples

Lec 30 Introduction Linearization Process Overview

Lec 31 Linearization of Internal Virtual Work and External Virtual Work

Lec 32 Discretization of Kinematic Quantities Equilibrium Equations

Lec 33 Discretization of Linearized Equilibrium Equations

Lec 34 Newton Raphson Method

Lec 35 Line Search Method

Lec 36 Arc Length Method Solved Examples

Lec 37 FE Formulation of Ductile Fracture in Dynamic Elasto Plastic Contact Problem Introduction

Lec 38 FE Formulation of Ductile Fracture in Dynamic Elasto Plastic Contact Problem Formulation

Lec 39 FE Formulation of Ductile Fracture in Dynamic Elasto Plastic Contact Problem FEM

Lec 40 FE Formulation of Ductile Fracture in Dynamic Elasto Plastic Contact Problem Results

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Computational Continuum Mechanics

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