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

By: Jog, C. S
Language: English Series: Cambridge-IISc seriesPublisher: Delhi Cambridge University Press c2015Edition: 3rd edDescription: xxiii, 852p.; 24cmISBN: 9781107091351Subject(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.
List(s) this item appears in: New Arrivals - 15th Sept. 2025
Item type Current location Collection Call number Status Date due Barcode
Book Book CENTRAL LIBRARY
General Stack (Sahyadri Campus)
531 JOG/C Available 09943
Reference Reference CENTRAL LIBRARY
Reference (Sahyadri Campus)
Reference 531 JOG/C Not for loan 09941
Book Book CENTRAL LIBRARY
General Stack (Sahyadri Campus)
531 JOG/C Available 09942

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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