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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
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
Fundamentals of Continuum Mechanics
This note covers the following topics: Mathematical preliminaries, Stress, Motion and deformation, Balance of mass, Momentum and energy and ideal constitutive relations.
Author(s): Northwestern University
181 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
This note will create a much more stable basis for continued work or study in the field of mechanics of continua, be they solid or fluid. Topics covered includes: Vectors and second order tensors, Change of coordinates, Higher order tensors, Derivatives, Analysis of small deformations, Kinematics, The dynamic equations of continuum mechanics, Elastic materials, Isotropic linearly elastic solids, Compatibility and Plane elasticity, Variational principles, Newtonian fluids and Elastic fluids.
Author(s): Lars H. Soderholm
129 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
J R Rice Solid Mechanics pdf 84p
This note covers the following topics: Concepts of stress, strain and elasticity, Beams, columns, plates, shells, Elasticity, general theory, Waves, Stress concentrations and fracture, Linear and Angular Momentum Principles, Geometry of Deformation, Stress-Strain Relations, Equations of linear elasticity, mechanical theory, Some elementary two-dimensional solutions and Equations of finite deformation.
Author(s): James R. Rice
89 Pages
This note covers the following topics Molecular Mechanisms, Mathematical Models for Linear Viscoelastic Response, The Boltzman Superposition Integral, Viscoelastic Stress Analysis.
Author(s): David Roylance
37 Pages
