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Continuum mechanics: foundations and applications of mechanics, Vol.I

By: Jog, C. S
Language: English Series: Cambridge-IISc seriesPublisher: New Delhi Cambridge University Press 2015Edition: 3rd edDescription: xxiii, 852pISBN: 9781108437141Subject(s): Continuum mechanics | Tensor algebraDDC classification: 531 JOG/C Online resources: Publisher's URL Summary: Continuum mechanics studies the foundations of deformable body mechanics from a mathematical perspective. It also acts as a base upon which other applied areas such as solid mechanics and fluid mechanics are developed. This book discusses some important topics, which have come into prominence in the latter half of the twentieth century, such as material symmetry, frame-indifference and thermomechanics. The study begins with the necessary mathematical background in the form of an introduction to tensor analysis followed by a discussion on kinematics, which deals with purely geometrical notions such as strain and rate of deformation. Moving on to derivation of the governing equations, the book also presents applications in the areas of linear and nonlinear elasticity. In addition, the volume also provides a mathematical explanation to the axioms and laws of deformable body mechanics, and its various applications in the field of solid mechanics.
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Book Book CENTRAL LIBRARY
General Stack (Nila Campus)
531 JOG/C Available 05690
Reference Reference CENTRAL LIBRARY
Reference (Nila Campus)
Reference 531 JOG/C Not for loan 05688
Book Book CENTRAL LIBRARY
General Stack (Nila Campus)
531 JOG/C Available 05689
Book Book CENTRAL LIBRARY
General Stack (Nila Campus)
531 JOG/C Available 05780

Table of Contents:

List of figures
List of tables
Preface
Notations
1. Introduction to tensors
2. Kinematics, 3. Balance laws
4. Constitutive equations
5. Nonlinear elasticity
6. Linearized elasticity
7. Thermomechanics
8. Rigid-body dynamics
Appendices
Bibliography
Index.

Continuum mechanics studies the foundations of deformable body mechanics from a mathematical perspective. It also acts as a base upon which other applied areas such as solid mechanics and fluid mechanics are developed. This book discusses some important topics, which have come into prominence in the latter half of the twentieth century, such as material symmetry, frame-indifference and thermomechanics. The study begins with the necessary mathematical background in the form of an introduction to tensor analysis followed by a discussion on kinematics, which deals with purely geometrical notions such as strain and rate of deformation. Moving on to derivation of the governing equations, the book also presents applications in the areas of linear and nonlinear elasticity. In addition, the volume also provides a mathematical explanation to the axioms and laws of deformable body mechanics, and its various applications in the field of solid mechanics.


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