Continuum Mechanics of Solids

✍ Scribed by Lallit Anand, Sanjay Govindjee

Publisher: Oxford University Press
Year: 2020
Tongue: English
Leaves: 722
Series: Oxford Graduate Texts
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

Continuum Mechanics of Solids is an introductory text for graduate students in the many branches of engineering, covering the basics of kinematics, equilibrium, and material response. As an introductory book, most of the emphasis is upon the kinematically linear theories of elasticity, plasticity, and viscoelasticity, with two additional chapters devoted to topics in finite elasticity. Further chapters cover topics in fracture and fatigue and coupled field problems, such as thermoelasticity, chemoelasticity, poroelasticity, and piezoelectricity. There is ample material for a two semester course, or by selecting only topics of interest for a one-semester offering. The text includes numerous examples to aid the student. A companion text with over 180 fully worked problems is also available.

✦ Table of Contents

Preface
Acknowledgments
Contents
Part I: Vectors and tensors
1 Vectors and tensors: Algebra
2 Vectors and tensors: Analysis
Part II: Kinematics
3 Kinematics
Part III: Balance laws
4 Balance laws for mass, forces, and moments
5 Balance of energy and entropy imbalance
6 Balance laws for small deformations
Part IV: Linear elasticity
7 Constitutive equations for linear elasticity
8 Linear elastostatics
9 Solutions to some classical problems in linear elastostatics
Part V: Variational formulations
10 Variational formulation of boundary-value problems
11 Introduction to the finite element method for linear elastostatics
12 Principles of minimum potential energy and complementary energy
Part VI: Elastodynamics. Sinusoidal progressive waves
13 Elastodynamics. Sinusoidal progressive waves
Part VII: Coupled theories
14 Linear thermoelasticity
15 Small deformation theory of species diffusion coupled to elasticity
16 Linear poroelasticity
17 A small deformation chemoelasticity theory for energy storage materials
18 Linear piezoelectricity
Part VIII: Limits to elastic response. Yielding and plasticity
19 Limits to elastic response. Yielding and failure
20 One-dimensional plasticity
21 Three-dimensional plasticity with isotropic hardening
22 Three-dimensional plasticity with kinematic and isotropic hardening
23 Small deformation rate-independent plasticity based on a postulate of maximum dissipation
24 Some classical problems in rate-independent plasticity
25 Rigid-perfectly-plastic materials. Two extremal principles
Part IX: Fracture and fatigue
26 Linear elastic fracture mechanics
27 Energy-based approach to fracture
28 Fatigue
Part X: Linear viscoelasticity
29 Linear viscoelasticity
Part XI: Finite elasticity
30 Finite elasticity
31 Finite elasticity of elastomeric materials
Part XII: Appendices
A Cylindrical and spherical coordinate systems
B Stress intensity factors for some crack configurations
Bibliography
Index

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