Engineering Visco Elasticity

Manifolds of mappings for continuum mechanics

This note contains below topics, A short review of convenient calculus in infinite dimensions, Manifolds with corners, Whitney manifold germs, Manifolds of mappings, Regular Lie groups, Spaces of embeddings or immersions and shape spaces, Weak Riemannian manifolds, Robust weak Riemannian manifolds and Riemannian submersions.

Author(s): Peter W. Michor

66 Pages

The port Hamiltonian structure of continuum mechanics

This note contains below topics, Geometric formulation of nonlinear elasticity, PortHamiltonian model of nonlinear elasticity, PortHamiltonian model of fluid flow, Constitutive relations.

Author(s): Ramy Rashad

54 Pages

Introduction to Continuum Mechanics by Shih Liu

This note explains the following topics: Notations and tensor algebra, Kinematics of finite deformation, Balance laws, Euclidean objectivity, Principle of material frame indifference, Material symmetry, Elastic solids, Viscoelastic materials, Second law of thermodynamics, Some problems in finite elasticity, Wave propagation in elastic bodies and mixture theory of porous media.

Author(s): I Shih Liu

128 Pages

Lectures on Continuum Physics

This note explains the following topics: Vectors, Tensors, Tensor properties, Vector and tensor fields, Configurations, Motion, The Lagrangian description of motion, Stretch and strain tensors, The polar decomposition, Velocity gradients, and rates of deformation, Balance of mass, Reynolds transport theorem, Linear and angular momentum, Models of viscous fluids, Material symmetry, Classical continuum mechanics, The heat transport equation, The free energy functional, Phase separation-non convex free energy, The Cahn-Hilliard formulation.

Author(s): University of Michigan

NA Pages

Continuum mechanics by Wikiversity

Topic of continuum mechanics deals with the basics equations of motion that governs the mechanics of both solid and fluid objects in nature. Topics covered includes: Set, notation, Functions, Vectors, Matrices, Tensors, Kinematics, Stress measures and stress rates, Balance law, Balance laws.

Author(s): Wikiversity

NA Pages

Continuum Mechanics Lecture Notes by Technical University Of Kaiserslautern

This note explains the following topics: Tensor calculus, Tensor algebra, Tensor analysis, Kinematics, Rates of kinematic quantities, Gradients of kinematic quantities, Balance equations, Concept of mass flux, Concept of stress, Balance of mass, Balance of linear momentum, Balance of angular momentum, Balance of energy, Constitutive equations, Linear constitutive equations.

Author(s): Technical University Of Kaiserslautern

112 Pages

Continuum Mechanics Lecture Notes The Mechanics of Elastic Solids

These notes provide an introduction to the mechanics of elastic solids for beginning graduate students. They may be downloaded without charge. Topics covered includes Kinematics Deformation, Kinematics Motion, Mechanical Balance Laws and Field Equations, Thermodynamic Balance Laws and Field Equations, Singular Surfaces and Jump Conditions, Constitutive Principles, Elastic Materials, Linearized Elasticity, Compressible Fluids, Liquid Crystals.

Author(s): Rohan Abeyaratne

428 Pages

Introduction to Continuum Mechanics by David J Raymond

This textbook develops the subject of continuum mechanics from the point of view of an applied physicist with interests in geophysics and astrophysics. Topics covered includes The Notion of Stress, Budgets, Fluxes, and the Equations of Motion, Kinematics in Continuum Mechanics, Elastic Bodies, Waves in an Elastic Medium, Statics of Elastic Media, Newtonian Fluids, Creeping Flow and High Reynolds Number Flow.

Author(s): David J. Raymond

142 Pages