Warehouse Stock Clearance Sale

Grab a bargain today!


Sign Up for Fishpond's Best Deals Delivered to You Every Day
Go
Notes on Continuum ­Mechanics
Lecture Notes on Numerical Methods in Engineering and Sciences

Rating
Format
Hardback, 700 pages
Other Formats Available

Paperback : £90.90

Published
Netherlands, 1 March 2013

This publication is aimed at students, teachers, and researchers of Continuum Mechanics and focused extensively on stating and developing Initial Boundary Value equations used to solve physical problems. With respect to notation, the tensorial, indicial and Voigt notations have been used indiscriminately.

 

The book is divided into twelve chapters with the following topics: Tensors, Continuum Kinematics, Stress, The Objectivity of Tensors, The Fundamental Equations of Continuum Mechanics, An Introduction to Constitutive Equations, Linear Elasticity, Hyperelasticity, Plasticity (small and large deformations), Thermoelasticity (small and large deformations), Damage Mechanics (small and large deformations), and An Introduction to Fluids. Moreover, the text is supplemented with over 280 figures, over 100 solved problems, and 130 references.



Preface.-  Abbreviations.-  Operators And Symbols.-  Si-Units.-  Introduction.-  1 Mechanics.-  2 What Is Continuum Mechanics.-  3 Scales Of Material Studies.-  4 The Initial Boundary Value Problem (Ibvp).-  1 Tensors.-  1.1 Introduction.-  1.2 Algebraic Operations With Vectors.-  1.3 Coordinate Systems.-  1.4 Indicial Notation.-  1.5 Algebraic Operations With Tensors.-  1.6 The Tensor-Valued Tensor Function.-  1.7 The Voigt Notation.-  1.8 Tensor Fields.-  1.9 Theorems Involving Integrals.-  Appendix A: A Graphical Representation Of A Second-Order Tensor.-  A.1 Projecting A Second-Order Tensor Onto A Particular Direction.-  A.2 Graphical Representation Of An Arbitrary Second-Order Tensor.-  A.3 The Tensor Ellipsoid.-  A.4 Graphical Representation Of The Spherical And Deviatoric Parts.-  2 Continuum Kinematics.-  2.1 Introduction.-  2.2 The Continuous Medium.-  2.3 Description Of Motion.-  2.4 The Material Time Derivative.-  2.5 The Deformation Gradient.-  2.6 Finite Strain Tensors.-  2.7 Particular Cases Of Motion.-  2.8 Polar Decomposition Of F.-  2.9 Area And Volume Elements Deformation.-  2.10 Material And Control Domains.-  2.11 Transport Equations.-  2.12 Circulation And Vorticity.-  2.13 Motion Decomposition: Volumetric And Isochoric Motions.-  2.14 The Small Deformation Regime.-  2.15 Other Ways To Define Strain.-  3 Stress.-  3.1 Introduction.-  3.2 Forces.-  3.3 Stress Tensors.-  4 Objectivity Of Tensors.-  4.1 Introduction.-  4.2 The Objectivity Of Tensors.-  4.3 Tensor Rates.-  5 The Fundamental Equations Of Continuum Mechanics.-  5.1 Introduction.-  5.2 Density.-  5.3 Flux.-  5.4 The Reynolds Transport Theorem.-  5.5 Conservation Law.-  5.6 The Principle Of Conservation Of Mass. The Mass Continuity Equation.-  5.7 The Principle Of Conservation Of Linear Momentum. The Equations Of Motion.-  5.8 The Principle Of Conservation Of Angular Momentum. Symmetry Of The Cauchy Stress Tensor.-  5.9 The Principle Of Conservation Of Energy. The Energy Equation.-  5.10 The Principle Of Irreversibility. Entropy Inequality.-  5.11 Fundamental Equations Of Continuum Mechanics.-  5.12 Flux Problems.-  5.13 Fluid Flow In Porous Media (Filtration).-  5.14 The Convection-Diffusion Equation.-  5.15 Initial Boundary Value Problem (Ibvp) And Computational Mechanics.-  6 Introduction To Constitutive Equations.-  6.1 Introduction.-  6.2 The Constitutive Principles.-  6.3 Characterization Of Constitutive Equations For Simple Thermoelastic Materials.-  6.4 Characterization Of The Constitutive Equations For A Thermoviscoelastic Material.-  6.5 Some Experimental Evidence.-  7 Linear Elasticity.-  7.1 Introduction.-  7.2 Initial Boundary Value Problem Of Linear Elasticity.- 7.3 Generalized Hooke's Law.-   7.4 The Elasticity Tensor.-  7.5 Isotropic Materials.-  7.6 Strain Energy Density.-  7.7 The Constitutive Law For Orthotropic Material.-  7.8 Transversely Isotropic Materials.-  7.9 The Saint-Venant's And Superposition Principles.-  7.10 Initial Stress/Strain.-  7.11 The Navier-Lamé Equations.-  7.12 Two-Dimensional Elasticity.-  7.13 The Unidimensional Approach.-  8 Hyperelasticity.-  8.1 Introduction.-  8.2 Constitutive Equations.-  8.3 Isotropic Hyperelastic Materials.-  8.4 Compressible Materials.-  8.5 Incompressible Materials.-  8.6 Examples Of Hyperelastic Models.-  8.7 Anisotropic Hyperelasticity.-  9 Plasticity.-  9.1 Introduction.-  9.2 The Yield Criterion.-  9.3 Plasticity Models In Small Deformation Regime (Uniaxial Cases).-  9.4 Plasticity In Small Deformation Regime (The Classical Plasticity Theory).-  9.5 Plastic Potential Theory.-  9.6 Plasticity In Large Deformation Regime.-  9.7 Large-Deformation Plasticity Based On The Multiplicative Decomposition Of The Deformation Gradient.-  10 Thermoelasticity.-  10.1 Thermodynamic Potentials.-  10.2 Thermomechanical Parameters.-  10.3 Linear Thermoelasticity.-  10.4 The Decoupled Thermo-Mechanical Problem In A Small Deformation Regime.-  10.5 The Classical Theory Of Thermoelasticity In Finite Strain (Large Deformation Regime).-  10.6 Thermoelasticity Based On The Multiplicative Decomposition Of The Deformation Gradient..-  10.7 Thermoplasticity In A Small Deformation Regime.-  11 Damage Mechanics.-  11.1 Introduction.-  11.2 The Isotropic Damage Model In A Small Deformation Regime.-  11.3 The Generalized Isotropic Damage Model.-  11.4 The Elastoplastic-Damage Model In A Small Deformation Regime.-  11.5 The Tensile-Compressive Plastic-Damage Model.-  11.6 Damage In A Large Deformation Regime.-  12 Introduction To Fluids.-  12.1 Introduction.-  12.2 Fluids At Rest And In Motion.-  12.3 Viscous And Non-Viscous Fluids.-  12.4 Laminar Turbulent Flow.-  12.5 Particular Cases.-  12.6 Newtonian Fluids.-  12.7 Stress, Dissipated And Recoverable Powers.-  12.8 The Fundamental Equations For Newtonian Fluids.-  Bibliography.-  Index.

Show more

Our Price
£91.15
Elsewhere
£109.99
Save £18.84 (17%)
Ships from UK Estimated delivery date: 11th Feb - 13th Feb from UK

Buy Together
+
Buy together with Euro-Par 2021 at a great price!
Buy Together
£163.89
Elsewhere Price
£171.14
You Save £7.25 (4%)

Product Description

This publication is aimed at students, teachers, and researchers of Continuum Mechanics and focused extensively on stating and developing Initial Boundary Value equations used to solve physical problems. With respect to notation, the tensorial, indicial and Voigt notations have been used indiscriminately.

 

The book is divided into twelve chapters with the following topics: Tensors, Continuum Kinematics, Stress, The Objectivity of Tensors, The Fundamental Equations of Continuum Mechanics, An Introduction to Constitutive Equations, Linear Elasticity, Hyperelasticity, Plasticity (small and large deformations), Thermoelasticity (small and large deformations), Damage Mechanics (small and large deformations), and An Introduction to Fluids. Moreover, the text is supplemented with over 280 figures, over 100 solved problems, and 130 references.



Preface.-  Abbreviations.-  Operators And Symbols.-  Si-Units.-  Introduction.-  1 Mechanics.-  2 What Is Continuum Mechanics.-  3 Scales Of Material Studies.-  4 The Initial Boundary Value Problem (Ibvp).-  1 Tensors.-  1.1 Introduction.-  1.2 Algebraic Operations With Vectors.-  1.3 Coordinate Systems.-  1.4 Indicial Notation.-  1.5 Algebraic Operations With Tensors.-  1.6 The Tensor-Valued Tensor Function.-  1.7 The Voigt Notation.-  1.8 Tensor Fields.-  1.9 Theorems Involving Integrals.-  Appendix A: A Graphical Representation Of A Second-Order Tensor.-  A.1 Projecting A Second-Order Tensor Onto A Particular Direction.-  A.2 Graphical Representation Of An Arbitrary Second-Order Tensor.-  A.3 The Tensor Ellipsoid.-  A.4 Graphical Representation Of The Spherical And Deviatoric Parts.-  2 Continuum Kinematics.-  2.1 Introduction.-  2.2 The Continuous Medium.-  2.3 Description Of Motion.-  2.4 The Material Time Derivative.-  2.5 The Deformation Gradient.-  2.6 Finite Strain Tensors.-  2.7 Particular Cases Of Motion.-  2.8 Polar Decomposition Of F.-  2.9 Area And Volume Elements Deformation.-  2.10 Material And Control Domains.-  2.11 Transport Equations.-  2.12 Circulation And Vorticity.-  2.13 Motion Decomposition: Volumetric And Isochoric Motions.-  2.14 The Small Deformation Regime.-  2.15 Other Ways To Define Strain.-  3 Stress.-  3.1 Introduction.-  3.2 Forces.-  3.3 Stress Tensors.-  4 Objectivity Of Tensors.-  4.1 Introduction.-  4.2 The Objectivity Of Tensors.-  4.3 Tensor Rates.-  5 The Fundamental Equations Of Continuum Mechanics.-  5.1 Introduction.-  5.2 Density.-  5.3 Flux.-  5.4 The Reynolds Transport Theorem.-  5.5 Conservation Law.-  5.6 The Principle Of Conservation Of Mass. The Mass Continuity Equation.-  5.7 The Principle Of Conservation Of Linear Momentum. The Equations Of Motion.-  5.8 The Principle Of Conservation Of Angular Momentum. Symmetry Of The Cauchy Stress Tensor.-  5.9 The Principle Of Conservation Of Energy. The Energy Equation.-  5.10 The Principle Of Irreversibility. Entropy Inequality.-  5.11 Fundamental Equations Of Continuum Mechanics.-  5.12 Flux Problems.-  5.13 Fluid Flow In Porous Media (Filtration).-  5.14 The Convection-Diffusion Equation.-  5.15 Initial Boundary Value Problem (Ibvp) And Computational Mechanics.-  6 Introduction To Constitutive Equations.-  6.1 Introduction.-  6.2 The Constitutive Principles.-  6.3 Characterization Of Constitutive Equations For Simple Thermoelastic Materials.-  6.4 Characterization Of The Constitutive Equations For A Thermoviscoelastic Material.-  6.5 Some Experimental Evidence.-  7 Linear Elasticity.-  7.1 Introduction.-  7.2 Initial Boundary Value Problem Of Linear Elasticity.- 7.3 Generalized Hooke's Law.-   7.4 The Elasticity Tensor.-  7.5 Isotropic Materials.-  7.6 Strain Energy Density.-  7.7 The Constitutive Law For Orthotropic Material.-  7.8 Transversely Isotropic Materials.-  7.9 The Saint-Venant's And Superposition Principles.-  7.10 Initial Stress/Strain.-  7.11 The Navier-Lamé Equations.-  7.12 Two-Dimensional Elasticity.-  7.13 The Unidimensional Approach.-  8 Hyperelasticity.-  8.1 Introduction.-  8.2 Constitutive Equations.-  8.3 Isotropic Hyperelastic Materials.-  8.4 Compressible Materials.-  8.5 Incompressible Materials.-  8.6 Examples Of Hyperelastic Models.-  8.7 Anisotropic Hyperelasticity.-  9 Plasticity.-  9.1 Introduction.-  9.2 The Yield Criterion.-  9.3 Plasticity Models In Small Deformation Regime (Uniaxial Cases).-  9.4 Plasticity In Small Deformation Regime (The Classical Plasticity Theory).-  9.5 Plastic Potential Theory.-  9.6 Plasticity In Large Deformation Regime.-  9.7 Large-Deformation Plasticity Based On The Multiplicative Decomposition Of The Deformation Gradient.-  10 Thermoelasticity.-  10.1 Thermodynamic Potentials.-  10.2 Thermomechanical Parameters.-  10.3 Linear Thermoelasticity.-  10.4 The Decoupled Thermo-Mechanical Problem In A Small Deformation Regime.-  10.5 The Classical Theory Of Thermoelasticity In Finite Strain (Large Deformation Regime).-  10.6 Thermoelasticity Based On The Multiplicative Decomposition Of The Deformation Gradient..-  10.7 Thermoplasticity In A Small Deformation Regime.-  11 Damage Mechanics.-  11.1 Introduction.-  11.2 The Isotropic Damage Model In A Small Deformation Regime.-  11.3 The Generalized Isotropic Damage Model.-  11.4 The Elastoplastic-Damage Model In A Small Deformation Regime.-  11.5 The Tensile-Compressive Plastic-Damage Model.-  11.6 Damage In A Large Deformation Regime.-  12 Introduction To Fluids.-  12.1 Introduction.-  12.2 Fluids At Rest And In Motion.-  12.3 Viscous And Non-Viscous Fluids.-  12.4 Laminar Turbulent Flow.-  12.5 Particular Cases.-  12.6 Newtonian Fluids.-  12.7 Stress, Dissipated And Recoverable Powers.-  12.8 The Fundamental Equations For Newtonian Fluids.-  Bibliography.-  Index.

Show more
Product Details
EAN
9789400759855
ISBN
9400759851
Publisher
Other Information
220 Illustrations, black and white; 700 p. 220 illus.
Dimensions
24.4 x 16.8 x 3.3 centimeters (1.33 kg)

Table of Contents

Preface.- Abbreviations.- Operators And Symbols.- Si-Units.- Introduction.- 1 Mechanics.- 2 What Is Continuum Mechanics.- 3 Scales Of Material Studies.- 4 The Initial Boundary Value Problem (Ibvp).- 1 Tensors.- 1.1 Introduction.- 1.2 Algebraic Operations With Vectors.- 1.3 Coordinate Systems.- 1.4 Indicial Notation.- 1.5 Algebraic Operations With Tensors.- 1.6 The Tensor-Valued Tensor Function.- 1.7 The Voigt Notation.- 1.8 Tensor Fields.- 1.9 Theorems Involving Integrals.- Appendix A: A Graphical Representation Of A Second-Order Tensor.- A.1 Projecting A Second-Order Tensor Onto A Particular Direction.- A.2 Graphical Representation Of An Arbitrary Second-Order Tensor.- A.3 The Tensor Ellipsoid.- A.4 Graphical Representation Of The Spherical And Deviatoric Parts.- 2 Continuum Kinematics.- 2.1 Introduction.- 2.2 The Continuous Medium.- 2.3 Description Of Motion.- 2.4 The Material Time Derivative.- 2.5 The Deformation Gradient.- 2.6 Finite Strain Tensors.- 2.7 Particular Cases Of Motion.- 2.8 Polar Decomposition Of F.- 2.9 Area And Volume Elements Deformation.- 2.10 Material And Control Domains.- 2.11 Transport Equations.- 2.12 Circulation And Vorticity.- 2.13 Motion Decomposition: Volumetric And Isochoric Motions.- 2.14 The Small Deformation Regime.- 2.15 Other Ways To Define Strain.- 3 Stress.- 3.1 Introduction.- 3.2 Forces.- 3.3 Stress Tensors.- 4 Objectivity Of Tensors.- 4.1 Introduction.- 4.2 The Objectivity Of Tensors.- 4.3 Tensor Rates.- 5 The Fundamental Equations Of Continuum Mechanics.- 5.1 Introduction.- 5.2 Density.- 5.3 Flux.- 5.4 The Reynolds Transport Theorem.- 5.5 Conservation Law.- 5.6 The Principle Of Conservation Of Mass. The Mass Continuity Equation.- 5.7 The Principle Of Conservation Of Linear Momentum. The Equations Of Motion.- 5.8 The Principle Of Conservation Of Angular Momentum. Symmetry Of The Cauchy Stress Tensor.- 5.9 The Principle Of Conservation Of Energy. The Energy Equation.-5.10 The Principle Of Irreversibility. Entropy Inequality.- 5.11 Fundamental Equations Of Continuum Mechanics.- 5.12 Flux Problems.- 5.13 Fluid Flow In Porous Media (Filtration).- 5.14 The Convection-Diffusion Equation.- 5.15 Initial Boundary Value Problem (Ibvp) And Computational Mechanics.- 6 Introduction To Constitutive Equations.- 6.1 Introduction.- 6.2 The Constitutive Principles.- 6.3 Characterization Of Constitutive Equations For Simple Thermoelastic Materials.- 6.4 Characterization Of The Constitutive Equations For A Thermoviscoelastic Material.- 6.5 Some Experimental Evidence.- 7 Linear Elasticity.- 7.1 Introduction.- 7.2 Initial Boundary Value Problem Of Linear Elasticity.- 7.3 Generalized Hooke’s Law.- 7.4 The Elasticity Tensor.- 7.5 Isotropic Materials.- 7.6 Strain Energy Density.- 7.7 The Constitutive Law For Orthotropic Material.- 7.8 Transversely Isotropic Materials.- 7.9 The Saint-Venant’s And Superposition Principles.- 7.10 Initial Stress/Strain.- 7.11 The Navier-Lamé Equations.- 7.12 Two-Dimensional Elasticity.- 7.13 The Unidimensional Approach.- 8 Hyperelasticity.- 8.1 Introduction.- 8.2 Constitutive Equations.- 8.3 Isotropic Hyperelastic Materials.- 8.4 Compressible Materials.- 8.5 Incompressible Materials.- 8.6 Examples Of Hyperelastic Models.-  8.7 Anisotropic Hyperelasticity.- 9 Plasticity.- 9.1 Introduction.- 9.2 The Yield Criterion.- 9.3 Plasticity Models In Small Deformation Regime (Uniaxial Cases).- 9.4 Plasticity In Small Deformation Regime (The Classical Plasticity Theory).- 9.5 Plastic Potential Theory.- 9.6 Plasticity In Large Deformation Regime.- 9.7 Large-Deformation Plasticity Based On The Multiplicative Decomposition Of The Deformation Gradient.- 10 Thermoelasticity.- 10.1 Thermodynamic Potentials.- 10.2 Thermomechanical Parameters.- 10.3 Linear Thermoelasticity.- 10.4 The Decoupled Thermo-Mechanical Problem In A Small Deformation Regime.- 10.5 The Classical Theory Of Thermoelasticity InFinite Strain (Large Deformation Regime).- 10.6 Thermoelasticity Based On The Multiplicative Decomposition Of The Deformation Gradient.- 10.7 Thermoplasticity In A Small Deformation Regime.- 11 Damage Mechanics.- 11.1 Introduction.- 11.2 The Isotropic Damage Model In A Small Deformation Regime.- 11.3 The Generalized Isotropic Damage Model.- 11.4 The Elastoplastic-Damage Model In A Small Deformation Regime.- 11.5 The Tensile-Compressive Plastic-Damage Model.- 11.6 Damage In A Large Deformation Regime.- 12 Introduction To Fluids.- 12.1 Introduction.- 12.2 Fluids At Rest And In Motion.- 12.3 Viscous And Non-Viscous Fluids.- 12.4 Laminar Turbulent Flow.- 12.5 Particular Cases.- 12.6 Newtonian Fluids.- 12.7 Stress, Dissipated And Recoverable Powers.- 12.8 The Fundamental Equations For Newtonian Fluids.- Bibliography.- Index.

Reviews

From the reviews:“The book is meant as a textbook for master and doctoral students and researchers. It is based on lecture notes of civil engineering courses of the author given at the University of Castillia-La Mancha (Spain). So the reader can expect a careful and detailed introduction to the subject without too much novelty. … The book is perhaps helpful for those readers who have already a strong background in continuum mechanics and want to find additional information on topics … .” (Albrecht Bertram, zbMATH, Vol. 1277, 2014)

Show more
Review this Product
Ask a Question About this Product More...
 
Item ships from and is sold by Fishpond World Ltd.

Back to top
We use essential and some optional cookies to provide you the best shopping experience. Visit our cookies policy page for more information.