Continuum Mechanics of Solids
Series: Oxford Graduate Texts;
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Product details:
- Edition number 1
- Publisher OUP Oxford
- Date of Publication 20 July 2020
- ISBN 9780198864721
- Binding Hardback
- No. of pages736 pages
- Size 252x195x40 mm
- Weight 1670 g
- Language English
- Illustrations 216 grayscale line and 30 color line figures 120
Categories
Short description:
This introductory graduate text is a unified treatment of the major concepts of Solid Mechanics for beginning graduate students in the many branches of engineering. Major topics are elasticity, viscoelasticity, plasticity, fracture, and fatigue. The book also has chapters on thermoelasticity, chemoelasticity, poroelasticity and piezoelectricity.
MoreLong description:
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.
Both authors have made seminal contributions to the subject, and are scholars of great depth and breadth. The field is well established, broadly useful, and commonly taught. In recent years, new extensions, refinements, and applications are discovered, in fields like polymers, gels, and batteries. A textbook with attention to practical pedagogy, as written by these two distinguished scholars, is exceptionally timely.
Table of Contents:
I Vectors and Tensors
Vectors and tensors: Algebra
Vectors and tensors: Analysis
II Kinematics
Kinematics
III Balance Laws
Balance laws for mass, forces, and moments
Balance of energy and entropy imbalance
Balance laws for small deformations
IV Linear Elasticity
Constitutive equations for linear elasticity
Linear elastostatics
Solutions for some classical problems in linear elastostatics
V Variational Formulations
Variational formulation of boundary value problems
Introduction to the finite element method
Minimum principles
VI Elastodynamics, Sinusoidal Progressive Waves
Elastodynamics, Sinusoidal progressive waves
VII Coupled Theories
Linear thermoelasticity
Chemoelasticity
Linear poroelasticity
Chemoelasticity theory for energy storage materials
Linear piezoelectricity
VIII Limits to Elastic Response, Yielding and Plasticity
Limits to elastic response. Yielding and failure
One-dimensional plasticity
Three-dimensional plasticity with isotropic hardening
Plasticity with kinematic and isotropic hardening
Postulate of maximum dissipation
Some classical problems in rate-independent plasticity
Rigid-perfectly-plastic materials. Two extremum principles
IX Fracture and Fatigue
Linear elastic fracture mechanics
Energy-based approach to fracture
Fatigue
X Linear Viscoelasticity
Linear viscoelasticity
XI Finite Elasticity
Finite elasticity
Finite elasticity of elastomeric materials
XII Appendices
Cylindrical and Spherical coordinate systems
Stress intensity factors for some crack configurations