β Scribed by Khraishi, Tariq A.; Shen, Yu-Lin
No coin nor oath required. For personal study only.
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 Read more...
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.
Continuum mechanics.
π SIMILAR VOLUMES
this is really a nice book if you want to work on fluid mechanics. it provides you the equations of fluid mechanics in different coordinate system.
<DIV>This introductory text is geared toward engineers, physicists, and applied mathematicians at the advanced undergraduate and graduate levels. It applies the mathematics of Cartesian and general tensors to physical field theories andΒ demonstrates them chiefly in terms of the theory of fluid mecha
Introductory text for engineers, physicists and applied mathematicians applies mathematics of Cartesian and general tensors to physical field theories, demonstrating them chiefly in terms of the theory of fluid mechanics. Many exercises throughout the text. Index. Preface. Appendixes.
This book develops and utilizes mathematical concepts to illuminate physical theories. This introductory text is geared toward engineers, physicists, and applied mathematicians at the advanced undergraduate and graduate levels. It applies the mathematics of Cartesian and general tensors to physical
<div>This introductory text is geared toward engineers, physicists, and applied mathematicians at the advanced undergraduate and graduate levels. It applies the mathematics of Cartesian and general tensors to physical field theories andΒ demonstrates them chiefly in terms of the theory of fluid mecha
<p>This book addresses the basic concepts of continuum mechanics, that is, the classical field theory of deformable bodies. The theory is systematically developed, from the kinematics to the balance equations, the material theory, and the entropy principles. In turn, the linear-elastic solids, the i