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Elasticity : theory, applications, and numerics / / Martin H. Sadd, Professor, University of Rhode Island, Department of Mechanical Engineering and Applied Mechanics, Kingston, Rhode Island
| Elasticity : theory, applications, and numerics / / Martin H. Sadd, Professor, University of Rhode Island, Department of Mechanical Engineering and Applied Mechanics, Kingston, Rhode Island |
| Autore | Sadd Martin H (Martin Howard) |
| Edizione | [Third edition.] |
| Pubbl/distr/stampa | Amsterdam : , : Elsevier, , [2014] |
| Descrizione fisica | 1 online resource (xvii, 582 pages) : illustrations |
| Disciplina | 531/.382 |
| Soggetto topico | Elasticity |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-12-410432-0 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. Mathematical preliminaries -- 2. Deformation : displacements and strains -- 3. Stress and equilibrium -- 4. Material behavior : linear elastic solids -- 5. Formulation and solution strategies -- 6. Strain energy and related principles -- 7. Two-dimensional formulation -- 8. Two-dimensional problem solution -- 9. Extension, torsion, and flexure of elastic cylinders -- 10. Complex variable methods -- 11. Anisotropic elasticity -- 12. Thermoelasticity -- 13. Displacement potentials and stress functions: applications to three dimensional problems -- 14. Nonhomogeneous elasticity -- 15. Micromechanics applications -- 16. Numerical finite and boundary element methods -- App. A. Basic field equations in Cartesian, cylindrical and spherical coordinates -- App. B. Transformation of field variables between Cartesian, cylindrical, and spherical components -- App. C. MATLAB primer -- App. D. Review of Mechanics of Materials. |
| Record Nr. | UNINA-9910464879303321 |
Sadd Martin H (Martin Howard)
|
||
| Amsterdam : , : Elsevier, , [2014] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Elasticity : theory, applications, and numerics / / Martin H. Sadd
| Elasticity : theory, applications, and numerics / / Martin H. Sadd |
| Autore | Sadd Martin H (Martin Howard) |
| Edizione | [Third edition.] |
| Pubbl/distr/stampa | Amsterdam : , : Elsevier, , [2014] |
| Descrizione fisica | 1 online resource (xvii, 582 pages) : illustrations |
| Disciplina | 531/.382 |
| Soggetto topico | Elasticity |
| ISBN | 0-12-410432-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. Mathematical preliminaries -- 2. Deformation : displacements and strains -- 3. Stress and equilibrium -- 4. Material behavior : linear elastic solids -- 5. Formulation and solution strategies -- 6. Strain energy and related principles -- 7. Two-dimensional formulation -- 8. Two-dimensional problem solution -- 9. Extension, torsion, and flexure of elastic cylinders -- 10. Complex variable methods -- 11. Anisotropic elasticity -- 12. Thermoelasticity -- 13. Displacement potentials and stress functions: applications to three dimensional problems -- 14. Nonhomogeneous elasticity -- 15. Micromechanics applications -- 16. Numerical finite and boundary element methods -- App. A. Basic field equations in Cartesian, cylindrical and spherical coordinates -- App. B. Transformation of field variables between Cartesian, cylindrical, and spherical components -- App. C. MATLAB primer -- App. D. Review of Mechanics of Materials. |
| Record Nr. | UNINA-9910789040403321 |
|
Sadd Martin H (Martin Howard)
|
||
| Amsterdam : , : Elsevier, , [2014] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Elasticity : theory, applications, and numerics / / Martin H. Sadd
| Elasticity : theory, applications, and numerics / / Martin H. Sadd |
| Autore | Sadd Martin H (Martin Howard) |
| Edizione | [Third edition.] |
| Pubbl/distr/stampa | Amsterdam : , : Elsevier, , [2014] |
| Descrizione fisica | 1 online resource (xvii, 582 pages) : illustrations |
| Disciplina | 531/.382 |
| Soggetto topico | Elasticity |
| ISBN | 0-12-410432-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. Mathematical preliminaries -- 2. Deformation : displacements and strains -- 3. Stress and equilibrium -- 4. Material behavior : linear elastic solids -- 5. Formulation and solution strategies -- 6. Strain energy and related principles -- 7. Two-dimensional formulation -- 8. Two-dimensional problem solution -- 9. Extension, torsion, and flexure of elastic cylinders -- 10. Complex variable methods -- 11. Anisotropic elasticity -- 12. Thermoelasticity -- 13. Displacement potentials and stress functions: applications to three dimensional problems -- 14. Nonhomogeneous elasticity -- 15. Micromechanics applications -- 16. Numerical finite and boundary element methods -- App. A. Basic field equations in Cartesian, cylindrical and spherical coordinates -- App. B. Transformation of field variables between Cartesian, cylindrical, and spherical components -- App. C. MATLAB primer -- App. D. Review of Mechanics of Materials. |
| Record Nr. | UNINA-9910815048603321 |
|
Sadd Martin H (Martin Howard)
|
||
| Amsterdam : , : Elsevier, , [2014] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Elasticity [[electronic resource] ] : theory, applications, and numerics / / Martin H. Sadd
| Elasticity [[electronic resource] ] : theory, applications, and numerics / / Martin H. Sadd |
| Autore | Sadd Martin H (Martin Howard) |
| Edizione | [2nd ed.] |
| Pubbl/distr/stampa | Amsterdam ; ; Boston, : Elsevier/AP, c2009 |
| Descrizione fisica | 1 online resource (553 p.) |
| Disciplina | 531/.382 |
| Soggetto topico | Elasticity |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-282-25801-X
9786612258015 0-08-092241-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Front Cover; Elasticity: Theory, Applications, and Numerics; Copyright Page; Contents; Preface; About the Author; PART I: FOUNDATIONS AND ELEMENTARY APPLICATIONS; Chapter 1. Mathematical Preliminaries; 1.1 Scalar, Vector, Matrix, and Tensor Definitions; 1.2 Index Notation; 1.3 Kronecker Delta and Alternating Symbol; 1.4 Coordinate Transformations; 1.5 Cartesian Tensors; 1.6 Principal Values and Directions for Symmetric Second-Order Tensors; 1.7 Vector, Matrix, and Tensor Algebra; 1.8 Calculus of Cartesian Tensors; 1.9 Orthogonal Curvilinear Coordinates
Chapter 2. Deformation: Displacements and Strains2.1 General Deformations; 2.2 Geometric Construction of Small Deformation Theory; 2.3 Strain Transformation; 2.4 Principal Strains; 2.5 Spherical and Deviatoric Strains; 2.6 Strain Compatibility; 2.7 Curvilinear Cylindrical and Spherical Coordinates; Chapter 3. Stress and Equilibrium; 3.1 Body and Surface Forces; 3.2 Traction Vector and Stress Tensor; 3.3 Stress Transformation; 3.4 Principal Stresses; 3.5 Spherical, Deviatoric, Octahedral, and von Mises Stresses; 3.6 Equilibrium Equations 3.7 Relations in Curvilinear Cylindrical and Spherical CoordinatesChapter 4. Material Behavior-Linear Elastic Solids; 4.1 Material Characterization; 4.2 Linear Elastic Materials-Hooke's Law; 4.3 Physical Meaning of Elastic Moduli; 4.4 Thermoelastic Constitutive Relations; Chapter 5. Formulation and Solution Strategies; 5.1 Review of Field Equations; 5.2 Boundary Conditions and Fundamental Problem Classifications; 5.3 Stress Formulation; 5.4 Displacement Formulation; 5.5 Principle of Superposition; 5.6 Saint-Venant's Principle; 5.7 General Solution Strategies Chapter 6. Strain Energy and Related Principles6.1 Strain Energy; 6.2 Uniqueness of the Elasticity Boundary-Value Problem; 6.3 Bounds on the Elastic Constants; 6.4 Related Integral Theorems; 6.5 Principle of Virtual Work; 6.6 Principles of Minimum Potential and Complementary Energy; 6.7 Rayleigh-Ritz Method; Chapter 7. Two-Dimensional Formulation; 7.1 Plane Strain; 7.2 Plane Stress; 7.3 Generalized Plane Stress; 7.4 Antiplane Strain; 7.5 Airy Stress Function; 7.6 Polar Coordinate Formulation; Chapter 8. Two-Dimensional Problem Solution; 8.1 Cartesian Coordinate Solutions Using Polynomials 8.2 Cartesian Coordinate Solutions Using Fourier Methods8.3 General Solutions in Polar Coordinates; 8.4 Example Polar Coordinate Solutions; Chapter 9. Extension, Torsion, and Flexure of Elastic Cylinders; 9.1 General Formulation; 9.2 Extension Formulation; 9.3 Torsion Formulation; 9.4 Torsion Solutions Derived from Boundary Equation; 9.5 Torsion Solutions Using Fourier Methods; 9.6 Torsion of Cylinders with Hollow Sections; 9.7 Torsion of Circular Shafts of Variable Diameter; 9.8 Flexure Formulation; 9.9 Flexure Problems without Twist; PART II: ADVANCED APPLICATIONS Chapter 10. Complex Variable Methods |
| Record Nr. | UNINA-9910454107603321 |
|
Sadd Martin H (Martin Howard)
|
||
| Amsterdam ; ; Boston, : Elsevier/AP, c2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Elasticity [[electronic resource] ] : theory, applications, and numerics / / Martin H. Sadd
| Elasticity [[electronic resource] ] : theory, applications, and numerics / / Martin H. Sadd |
| Autore | Sadd Martin H (Martin Howard) |
| Edizione | [2nd ed.] |
| Pubbl/distr/stampa | Amsterdam ; ; Boston, : Elsevier/AP, c2009 |
| Descrizione fisica | 1 online resource (553 p.) |
| Disciplina | 531/.382 |
| Soggetto topico | Elasticity |
| ISBN |
1-282-25801-X
9786612258015 0-08-092241-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Front Cover; Elasticity: Theory, Applications, and Numerics; Copyright Page; Contents; Preface; About the Author; PART I: FOUNDATIONS AND ELEMENTARY APPLICATIONS; Chapter 1. Mathematical Preliminaries; 1.1 Scalar, Vector, Matrix, and Tensor Definitions; 1.2 Index Notation; 1.3 Kronecker Delta and Alternating Symbol; 1.4 Coordinate Transformations; 1.5 Cartesian Tensors; 1.6 Principal Values and Directions for Symmetric Second-Order Tensors; 1.7 Vector, Matrix, and Tensor Algebra; 1.8 Calculus of Cartesian Tensors; 1.9 Orthogonal Curvilinear Coordinates
Chapter 2. Deformation: Displacements and Strains2.1 General Deformations; 2.2 Geometric Construction of Small Deformation Theory; 2.3 Strain Transformation; 2.4 Principal Strains; 2.5 Spherical and Deviatoric Strains; 2.6 Strain Compatibility; 2.7 Curvilinear Cylindrical and Spherical Coordinates; Chapter 3. Stress and Equilibrium; 3.1 Body and Surface Forces; 3.2 Traction Vector and Stress Tensor; 3.3 Stress Transformation; 3.4 Principal Stresses; 3.5 Spherical, Deviatoric, Octahedral, and von Mises Stresses; 3.6 Equilibrium Equations 3.7 Relations in Curvilinear Cylindrical and Spherical CoordinatesChapter 4. Material Behavior-Linear Elastic Solids; 4.1 Material Characterization; 4.2 Linear Elastic Materials-Hooke's Law; 4.3 Physical Meaning of Elastic Moduli; 4.4 Thermoelastic Constitutive Relations; Chapter 5. Formulation and Solution Strategies; 5.1 Review of Field Equations; 5.2 Boundary Conditions and Fundamental Problem Classifications; 5.3 Stress Formulation; 5.4 Displacement Formulation; 5.5 Principle of Superposition; 5.6 Saint-Venant's Principle; 5.7 General Solution Strategies Chapter 6. Strain Energy and Related Principles6.1 Strain Energy; 6.2 Uniqueness of the Elasticity Boundary-Value Problem; 6.3 Bounds on the Elastic Constants; 6.4 Related Integral Theorems; 6.5 Principle of Virtual Work; 6.6 Principles of Minimum Potential and Complementary Energy; 6.7 Rayleigh-Ritz Method; Chapter 7. Two-Dimensional Formulation; 7.1 Plane Strain; 7.2 Plane Stress; 7.3 Generalized Plane Stress; 7.4 Antiplane Strain; 7.5 Airy Stress Function; 7.6 Polar Coordinate Formulation; Chapter 8. Two-Dimensional Problem Solution; 8.1 Cartesian Coordinate Solutions Using Polynomials 8.2 Cartesian Coordinate Solutions Using Fourier Methods8.3 General Solutions in Polar Coordinates; 8.4 Example Polar Coordinate Solutions; Chapter 9. Extension, Torsion, and Flexure of Elastic Cylinders; 9.1 General Formulation; 9.2 Extension Formulation; 9.3 Torsion Formulation; 9.4 Torsion Solutions Derived from Boundary Equation; 9.5 Torsion Solutions Using Fourier Methods; 9.6 Torsion of Cylinders with Hollow Sections; 9.7 Torsion of Circular Shafts of Variable Diameter; 9.8 Flexure Formulation; 9.9 Flexure Problems without Twist; PART II: ADVANCED APPLICATIONS Chapter 10. Complex Variable Methods |
| Record Nr. | UNINA-9910783093403321 |
|
Sadd Martin H (Martin Howard)
|
||
| Amsterdam ; ; Boston, : Elsevier/AP, c2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Elasticity : theory, applications, and numerics / / Martin H. Sadd
| Elasticity : theory, applications, and numerics / / Martin H. Sadd |
| Autore | Sadd Martin H (Martin Howard) |
| Edizione | [2nd ed.] |
| Pubbl/distr/stampa | Amsterdam ; ; Boston, : Elsevier/AP, c2009 |
| Descrizione fisica | 1 online resource (553 p.) |
| Disciplina | 531/.382 |
| Soggetto topico | Elasticity |
| ISBN |
1-282-25801-X
9786612258015 0-08-092241-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Front Cover; Elasticity: Theory, Applications, and Numerics; Copyright Page; Contents; Preface; About the Author; PART I: FOUNDATIONS AND ELEMENTARY APPLICATIONS; Chapter 1. Mathematical Preliminaries; 1.1 Scalar, Vector, Matrix, and Tensor Definitions; 1.2 Index Notation; 1.3 Kronecker Delta and Alternating Symbol; 1.4 Coordinate Transformations; 1.5 Cartesian Tensors; 1.6 Principal Values and Directions for Symmetric Second-Order Tensors; 1.7 Vector, Matrix, and Tensor Algebra; 1.8 Calculus of Cartesian Tensors; 1.9 Orthogonal Curvilinear Coordinates
Chapter 2. Deformation: Displacements and Strains2.1 General Deformations; 2.2 Geometric Construction of Small Deformation Theory; 2.3 Strain Transformation; 2.4 Principal Strains; 2.5 Spherical and Deviatoric Strains; 2.6 Strain Compatibility; 2.7 Curvilinear Cylindrical and Spherical Coordinates; Chapter 3. Stress and Equilibrium; 3.1 Body and Surface Forces; 3.2 Traction Vector and Stress Tensor; 3.3 Stress Transformation; 3.4 Principal Stresses; 3.5 Spherical, Deviatoric, Octahedral, and von Mises Stresses; 3.6 Equilibrium Equations 3.7 Relations in Curvilinear Cylindrical and Spherical CoordinatesChapter 4. Material Behavior-Linear Elastic Solids; 4.1 Material Characterization; 4.2 Linear Elastic Materials-Hooke's Law; 4.3 Physical Meaning of Elastic Moduli; 4.4 Thermoelastic Constitutive Relations; Chapter 5. Formulation and Solution Strategies; 5.1 Review of Field Equations; 5.2 Boundary Conditions and Fundamental Problem Classifications; 5.3 Stress Formulation; 5.4 Displacement Formulation; 5.5 Principle of Superposition; 5.6 Saint-Venant's Principle; 5.7 General Solution Strategies Chapter 6. Strain Energy and Related Principles6.1 Strain Energy; 6.2 Uniqueness of the Elasticity Boundary-Value Problem; 6.3 Bounds on the Elastic Constants; 6.4 Related Integral Theorems; 6.5 Principle of Virtual Work; 6.6 Principles of Minimum Potential and Complementary Energy; 6.7 Rayleigh-Ritz Method; Chapter 7. Two-Dimensional Formulation; 7.1 Plane Strain; 7.2 Plane Stress; 7.3 Generalized Plane Stress; 7.4 Antiplane Strain; 7.5 Airy Stress Function; 7.6 Polar Coordinate Formulation; Chapter 8. Two-Dimensional Problem Solution; 8.1 Cartesian Coordinate Solutions Using Polynomials 8.2 Cartesian Coordinate Solutions Using Fourier Methods8.3 General Solutions in Polar Coordinates; 8.4 Example Polar Coordinate Solutions; Chapter 9. Extension, Torsion, and Flexure of Elastic Cylinders; 9.1 General Formulation; 9.2 Extension Formulation; 9.3 Torsion Formulation; 9.4 Torsion Solutions Derived from Boundary Equation; 9.5 Torsion Solutions Using Fourier Methods; 9.6 Torsion of Cylinders with Hollow Sections; 9.7 Torsion of Circular Shafts of Variable Diameter; 9.8 Flexure Formulation; 9.9 Flexure Problems without Twist; PART II: ADVANCED APPLICATIONS Chapter 10. Complex Variable Methods |
| Record Nr. | UNINA-9910809356003321 |
|
Sadd Martin H (Martin Howard)
|
||
| Amsterdam ; ; Boston, : Elsevier/AP, c2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Elasticity [[electronic resource] ] : theory, applications, and numerics / / Martin H. Sadd
| Elasticity [[electronic resource] ] : theory, applications, and numerics / / Martin H. Sadd |
| Autore | Sadd Martin H (Martin Howard) |
| Edizione | [1st edition] |
| Pubbl/distr/stampa | Amsterdam ; ; Oxford, : Elsevier Butterworth Heinemann, c2005 |
| Descrizione fisica | 1 online resource (474 p.) |
| Disciplina | 531.382 |
| Soggetto topico |
Elasticity
Mathematical physics |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-00834-6
9786611008345 0-08-047747-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Front matter; Half Title Page; Title Page; Copyright; Preface; Contents; About the Author; Part I: Foundations and Elementary Applications; 1. Mathematical Preliminaries; 1.1 Scalar, Vector, Matrix, and Tensor Definitions; 1.2 Index Notation; 1.3 Kronecker Delta and Alternating Symbol; 1.4 Coordinate Transformations; 1.5 Cartesian Tensors; 1.6 Principal Values and Directions for Symmetric Second-Order Tensors; 1.7 Vector, Matrix, and Tensor Algebra; 1.8 Calculus of Cartesian Tensors; 1.9 Orthogonal Curvilinear Coordinates; References; Exercises; 2. Deformation: Displacements and Strains
2.1 General Deformations 2.2 Geometric Construction of Small Deformation Theory; 2.3 Strain Transformation; 2.4 Principal Strains; 2.5 Spherical and Deviatoric Strains; 2.6 Strain Compatibility; 2.7 Curvilinear Cylindrical and Spherical Coordinates; References; Exercises; 3. Stress and Equilibrium; 3.1 Body and Surface Forces; 3.2 Traction Vector and Stress Tensor; 3.3 Stress Transformation; 3.4 Principal Stresses; 3.5 Spherical and Deviatoric Stresses; 3.6 Equilibrium Equations; 3.7 Relations in Curvilinear Cylindrical and Spherical Coordinates; References; Exercises 4. Material Behavior-Linear Elastic Solids 4.1 Material Characterization; 4.2 Linear Elastic Materials-Hooke's Law; 4.3 Physical Meaning of Elastic Moduli; 4.4 Thermoelastic Constitutive Relations; References; Exercises; 5. Formulation and Solution Strategies; 5.1 Review of Field Equations; 5.2 Boundary Conditions and Fundamental Problem Classifications; 5.3 Stress Formulation; 5.4 Displacement Formulation; 5.5 Principle of Superposition; 5.6 Saint-Venant's Principle; 5.7 General Solution Strategies; References; Exercises; 6. Strain Energy and Related Principles; 6.1 Strain Energy 6.2 Uniqueness of the Elasticity Boundary-Value Problem 6.3 Bounds on the Elastic Constants; 6.4 Related Integral Theorems; 6.5 Principle of Virtual Work; 6.6 Principles of Minimum Potential and Complementary Energy; 6.7 Rayleigh-Ritz Method; References; Exercises; 7. Two-Dimensional Formulation; 7.1 Plane Strain; 7.2 Plane Stress; 7.3 Generalized Plane Stress; 7.4 Antiplane Strain; 7.5 Airy Stress Function; 7.6 Polar Coordinate Formulation; References; Exercises; 8. Two-Dimensional Problem Solution; 8.1 Cartesian Coordinate Solutions Using Polynomials 8.2 Cartesian Coordinate Solutions Using Fourier Methods 8.3 General Solutions in Polar Coordinates; 8.4 Polar Coordinate Solutions; References; Exercises; 9. Extension, Torsion, and Flexure of Elastic Cylinders; 9.1 General Formulation; 9.2 Extension Formulation; 9.3 Torsion Formulation; 9.4 Torsion Solutions Derived from Boundary Equation; 9.5 Torsion Solutions Using Fourier Methods; 9.6 Torsion of Cylinders With Hollow Sections; 9.7 Torsion of Circular Shafts of Variable Diameter; 9.8 Flexure Formulation; 9.9 Flexure Problems Without Twist; References; Exercises Part II: Advanced Applications |
| Record Nr. | UNINA-9910458070503321 |
|
Sadd Martin H (Martin Howard)
|
||
| Amsterdam ; ; Oxford, : Elsevier Butterworth Heinemann, c2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Elasticity [[electronic resource] ] : theory, applications, and numerics / / Martin H. Sadd
| Elasticity [[electronic resource] ] : theory, applications, and numerics / / Martin H. Sadd |
| Autore | Sadd Martin H (Martin Howard) |
| Edizione | [1st edition] |
| Pubbl/distr/stampa | Amsterdam ; ; Oxford, : Elsevier Butterworth Heinemann, c2005 |
| Descrizione fisica | 1 online resource (474 p.) |
| Disciplina | 531.382 |
| Soggetto topico |
Elasticity
Mathematical physics |
| ISBN |
1-281-00834-6
9786611008345 0-08-047747-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Front matter; Half Title Page; Title Page; Copyright; Preface; Contents; About the Author; Part I: Foundations and Elementary Applications; 1. Mathematical Preliminaries; 1.1 Scalar, Vector, Matrix, and Tensor Definitions; 1.2 Index Notation; 1.3 Kronecker Delta and Alternating Symbol; 1.4 Coordinate Transformations; 1.5 Cartesian Tensors; 1.6 Principal Values and Directions for Symmetric Second-Order Tensors; 1.7 Vector, Matrix, and Tensor Algebra; 1.8 Calculus of Cartesian Tensors; 1.9 Orthogonal Curvilinear Coordinates; References; Exercises; 2. Deformation: Displacements and Strains
2.1 General Deformations 2.2 Geometric Construction of Small Deformation Theory; 2.3 Strain Transformation; 2.4 Principal Strains; 2.5 Spherical and Deviatoric Strains; 2.6 Strain Compatibility; 2.7 Curvilinear Cylindrical and Spherical Coordinates; References; Exercises; 3. Stress and Equilibrium; 3.1 Body and Surface Forces; 3.2 Traction Vector and Stress Tensor; 3.3 Stress Transformation; 3.4 Principal Stresses; 3.5 Spherical and Deviatoric Stresses; 3.6 Equilibrium Equations; 3.7 Relations in Curvilinear Cylindrical and Spherical Coordinates; References; Exercises 4. Material Behavior-Linear Elastic Solids 4.1 Material Characterization; 4.2 Linear Elastic Materials-Hooke's Law; 4.3 Physical Meaning of Elastic Moduli; 4.4 Thermoelastic Constitutive Relations; References; Exercises; 5. Formulation and Solution Strategies; 5.1 Review of Field Equations; 5.2 Boundary Conditions and Fundamental Problem Classifications; 5.3 Stress Formulation; 5.4 Displacement Formulation; 5.5 Principle of Superposition; 5.6 Saint-Venant's Principle; 5.7 General Solution Strategies; References; Exercises; 6. Strain Energy and Related Principles; 6.1 Strain Energy 6.2 Uniqueness of the Elasticity Boundary-Value Problem 6.3 Bounds on the Elastic Constants; 6.4 Related Integral Theorems; 6.5 Principle of Virtual Work; 6.6 Principles of Minimum Potential and Complementary Energy; 6.7 Rayleigh-Ritz Method; References; Exercises; 7. Two-Dimensional Formulation; 7.1 Plane Strain; 7.2 Plane Stress; 7.3 Generalized Plane Stress; 7.4 Antiplane Strain; 7.5 Airy Stress Function; 7.6 Polar Coordinate Formulation; References; Exercises; 8. Two-Dimensional Problem Solution; 8.1 Cartesian Coordinate Solutions Using Polynomials 8.2 Cartesian Coordinate Solutions Using Fourier Methods 8.3 General Solutions in Polar Coordinates; 8.4 Polar Coordinate Solutions; References; Exercises; 9. Extension, Torsion, and Flexure of Elastic Cylinders; 9.1 General Formulation; 9.2 Extension Formulation; 9.3 Torsion Formulation; 9.4 Torsion Solutions Derived from Boundary Equation; 9.5 Torsion Solutions Using Fourier Methods; 9.6 Torsion of Cylinders With Hollow Sections; 9.7 Torsion of Circular Shafts of Variable Diameter; 9.8 Flexure Formulation; 9.9 Flexure Problems Without Twist; References; Exercises Part II: Advanced Applications |
| Record Nr. | UNINA-9910784570603321 |
|
Sadd Martin H (Martin Howard)
|
||
| Amsterdam ; ; Oxford, : Elsevier Butterworth Heinemann, c2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Elasticity : theory, applications, and numerics / / Martin H. Sadd
| Elasticity : theory, applications, and numerics / / Martin H. Sadd |
| Autore | Sadd Martin H (Martin Howard) |
| Edizione | [1st edition] |
| Pubbl/distr/stampa | Amsterdam ; ; Oxford, : Elsevier Butterworth Heinemann, c2005 |
| Descrizione fisica | 1 online resource (474 p.) |
| Disciplina | 531.382 |
| Soggetto topico |
Elasticity
Mathematical physics |
| ISBN |
1-281-00834-6
9786611008345 0-08-047747-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Front matter; Half Title Page; Title Page; Copyright; Preface; Contents; About the Author; Part I: Foundations and Elementary Applications; 1. Mathematical Preliminaries; 1.1 Scalar, Vector, Matrix, and Tensor Definitions; 1.2 Index Notation; 1.3 Kronecker Delta and Alternating Symbol; 1.4 Coordinate Transformations; 1.5 Cartesian Tensors; 1.6 Principal Values and Directions for Symmetric Second-Order Tensors; 1.7 Vector, Matrix, and Tensor Algebra; 1.8 Calculus of Cartesian Tensors; 1.9 Orthogonal Curvilinear Coordinates; References; Exercises; 2. Deformation: Displacements and Strains
2.1 General Deformations 2.2 Geometric Construction of Small Deformation Theory; 2.3 Strain Transformation; 2.4 Principal Strains; 2.5 Spherical and Deviatoric Strains; 2.6 Strain Compatibility; 2.7 Curvilinear Cylindrical and Spherical Coordinates; References; Exercises; 3. Stress and Equilibrium; 3.1 Body and Surface Forces; 3.2 Traction Vector and Stress Tensor; 3.3 Stress Transformation; 3.4 Principal Stresses; 3.5 Spherical and Deviatoric Stresses; 3.6 Equilibrium Equations; 3.7 Relations in Curvilinear Cylindrical and Spherical Coordinates; References; Exercises 4. Material Behavior-Linear Elastic Solids 4.1 Material Characterization; 4.2 Linear Elastic Materials-Hooke's Law; 4.3 Physical Meaning of Elastic Moduli; 4.4 Thermoelastic Constitutive Relations; References; Exercises; 5. Formulation and Solution Strategies; 5.1 Review of Field Equations; 5.2 Boundary Conditions and Fundamental Problem Classifications; 5.3 Stress Formulation; 5.4 Displacement Formulation; 5.5 Principle of Superposition; 5.6 Saint-Venant's Principle; 5.7 General Solution Strategies; References; Exercises; 6. Strain Energy and Related Principles; 6.1 Strain Energy 6.2 Uniqueness of the Elasticity Boundary-Value Problem 6.3 Bounds on the Elastic Constants; 6.4 Related Integral Theorems; 6.5 Principle of Virtual Work; 6.6 Principles of Minimum Potential and Complementary Energy; 6.7 Rayleigh-Ritz Method; References; Exercises; 7. Two-Dimensional Formulation; 7.1 Plane Strain; 7.2 Plane Stress; 7.3 Generalized Plane Stress; 7.4 Antiplane Strain; 7.5 Airy Stress Function; 7.6 Polar Coordinate Formulation; References; Exercises; 8. Two-Dimensional Problem Solution; 8.1 Cartesian Coordinate Solutions Using Polynomials 8.2 Cartesian Coordinate Solutions Using Fourier Methods 8.3 General Solutions in Polar Coordinates; 8.4 Polar Coordinate Solutions; References; Exercises; 9. Extension, Torsion, and Flexure of Elastic Cylinders; 9.1 General Formulation; 9.2 Extension Formulation; 9.3 Torsion Formulation; 9.4 Torsion Solutions Derived from Boundary Equation; 9.5 Torsion Solutions Using Fourier Methods; 9.6 Torsion of Cylinders With Hollow Sections; 9.7 Torsion of Circular Shafts of Variable Diameter; 9.8 Flexure Formulation; 9.9 Flexure Problems Without Twist; References; Exercises Part II: Advanced Applications |
| Record Nr. | UNINA-9910826201703321 |
|
Sadd Martin H (Martin Howard)
|
||
| Amsterdam ; ; Oxford, : Elsevier Butterworth Heinemann, c2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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