basic principles of vectors, tensors, and deformation
First Statement of Responsibility
Tariq A. Khraishi and Yu-Lin Shen.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
New York [New York] (222 East 46th Street, New York, NY 10017)
Name of Publisher, Distributor, etc.
Momentum Press
Date of Publication, Distribution, etc.
2015
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
(1 PDF (iv, 98 pages))
SERIES
Series Title
Solid mechanics collection.
GENERAL NOTES
Text of Note
Title from PDF title page (viewed on January 10, 2015).;Includes index.
CONTENTS NOTE
Text of Note
1. An overview of continuum mechanics --;Definition of mechanics --;What is continuum? --;Mathematical definition of matter as a continuum --;Concept of stress in a continuum 2. Mathematical preliminaries: basics of vectors and tensors --;Vector equations --;Index (indicial) notation and tensors --;Translation and rotation of coordinates --;Further tensor comments 3. Introduction to stress and tensor analysis --;Stress at a point --;The stress tensor --;The stress traction on an arbitrary plane --;Normal stress and shear stress on an oblique plane --;Stress transformation --;Plane stress --;Principal stresses --;The meaning of invariant quantities under transformation --;Octahedral stress --;Mean and deviatoric stress --;Mohr's circle in three dimensions --;Equations of equilibrium --;Stresses in cylindrical coordinates --;Stress and displacement boundary conditions 4. Analysis of deformation and strain --;Strain in a material --;The strain in a material: another look --;Strain components in terms of displacement --;Rigid body rotation during displacement --;Finite strain components --;Infinitesimal strain components in cylindrical coordinates --;Strain-compatibility relations --;Velocity fields in a fluid and the compatibility condition --;Index.
SUMMARY OR ABSTRACT
Text of Note
Mechanics is the study of motion (or equilibrium) of matter and the forces that cause such motion (or equilibrium). Mechanics is based on the concepts of time, space, force, energy, and matter. Examples of previous knowledge of mechanics are courses in statics, dynamics, mechanics (or strength) of materials, fluid mechanics, elasticity, plasticity, and fracture mechanics. Mechanical engineers are called as such because they study mechanics and design using mechanics concepts and principles.