دانلود کتاب Continuum mechanics : basic principles of vectors, tensors, and deformation

فهرست مطالب :

Content: 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.