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The mechanics of constitutive modeling [[electronic resource] /] / Niels Saabye Ottosen, Matti Ristinmaa
| The mechanics of constitutive modeling [[electronic resource] /] / Niels Saabye Ottosen, Matti Ristinmaa |
| Autore | Ottosen Niels Saabye |
| Pubbl/distr/stampa | Amsterdam ; ; London, : Elsevier, 2005 |
| Descrizione fisica | 1 online resource (759 p.) |
| Disciplina | 620.105015118 |
| Altri autori (Persone) | RistinmaaMatti |
| Soggetto topico |
Mechanics, Applied - Mathematical models
Mathematics |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-02469-4
9786611024697 0-08-052569-5 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Front Cover; The Mechanics of Constitutive Modeling; Copyright Page; Contents; Preface; Chapter 1. Notations and Cartesian tensors; 1.1 Matrix notation; 1.2 Cartesian coordinate system; 1.3 Index notation; 1.4 Change of coordinate system; 1.5 Cartesian tensors; 1.6 Example of tensors - Isotropic tensors; Chapter 2. Strain tensor; 2.1 Introduction; 2.2 Small strain tensor; 2.3 Rigid-body motions; 2.4 Physical significance of the strain tensor; 2.5 Change of coordinate system; 2.6 Principal strains and principal directions - Invariants; 2.7 Extremum values of the normal strain
2.8 Cayley-Hamilton's theorem2.9 Deviatoric strains; 2.10 Important strain invariants; 2.11 Change of coordinate system - Mohr's circle; 2.12 Special states of strain; Chapter 3. Stress tensor; 3.1 Introduction; 3.2 Change of coordinate system; 3.3 Principal stresses and principal directions - Invariants; 3.4 Stress deviator tensor; 3.5 Change of coordinate system - Mohr's circle; 3.6 Special states of stress; 3.7 Equations of motion; 3.8 Weak formulation - Principle of virtual work; Chapter 4. Hyper-elasticity; 4.1 Strain energy and hyper-elasticity 4.2 Complementary energy and hyper-elasticity4.3 Linear hyper-elasticity Anisotropy; 4.4 Linear elasticity - Matrix formulation; 4.5 Change of coordinate system when using matrix format; 4.6 Anisotropy in linear hyper-elasticity; 4.7 Initial strains - Thermoelasticity; 4.8 Most general isotropic hyper-elasticity; 4.9 Isotropic linear elasticity; 4.10 Nonlinear isotropic Hooke formulation; 4.11 Plane strain; 4.12 Plane stress; 4.13 Incompressible linear hyper-elasticity; Chapter 5. Cauchy-elasticity; 5.1 Response function, principle of coordinate invariance and isotropic tensor function 5.2 Most general isotropic Cauchy-elasticity5.3 Proof of most general form of isotropic Cauchy-elasticity; 5.4 Nonlinear isotropic Hooke formulation; Chapter 6. Representation theorems; 6.1 Scalar functions; 6.2 Second-order tensor functions; 6.3 Thermoelasticity; 6.4 Viscoelasticity; 6.5 Orthotropic linear elasticity; 6.6 Transverse isotropic linear elasticity; Chspter 7. Hypo - elasticity; 7.1 Time-independent response; Chapter 8. Failure and initial yield criteria; 8.1 Haigh-Westergaard coordinate system - Geometrical interpretation of stress invariants 8.2 Symmetry properties of the failure or initial yield curve in the deviatoric plane8.3 von Mises criterion; 8.4 Drucker-Prager criterion; 8.5 Coulomb criterion; 8.6 Mohr's failure mode criterion; 8.7 Tresca criterion; 8.8 Experimental results for metals and steel - von Mises versusTresca; 8.9 Rankine criterion and modified Coulomb criterion; 8.10 Experimental results for concrete versus the modified Coulomb criterion; 8.11 4-parameter criterion; 8.12 Experimental results for concrete versus the 4-parameter criterion; 8.13 Anisotropic criteria; Chapter 9. Introduction to plasticity theory 9.1 Change of yield surface due to loading - Hardening rules |
| Record Nr. | UNINA-9910458487603321 |
Ottosen Niels Saabye
|
||
| Amsterdam ; ; London, : Elsevier, 2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The mechanics of constitutive modeling [[electronic resource] /] / Niels Saabye Ottosen, Matti Ristinmaa
| The mechanics of constitutive modeling [[electronic resource] /] / Niels Saabye Ottosen, Matti Ristinmaa |
| Autore | Ottosen Niels Saabye |
| Pubbl/distr/stampa | Amsterdam ; ; London, : Elsevier, 2005 |
| Descrizione fisica | 1 online resource (759 p.) |
| Disciplina | 620.105015118 |
| Altri autori (Persone) | RistinmaaMatti |
| Soggetto topico |
Mechanics, Applied - Mathematical models
Mathematics |
| ISBN |
1-281-02469-4
9786611024697 0-08-052569-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Front Cover; The Mechanics of Constitutive Modeling; Copyright Page; Contents; Preface; Chapter 1. Notations and Cartesian tensors; 1.1 Matrix notation; 1.2 Cartesian coordinate system; 1.3 Index notation; 1.4 Change of coordinate system; 1.5 Cartesian tensors; 1.6 Example of tensors - Isotropic tensors; Chapter 2. Strain tensor; 2.1 Introduction; 2.2 Small strain tensor; 2.3 Rigid-body motions; 2.4 Physical significance of the strain tensor; 2.5 Change of coordinate system; 2.6 Principal strains and principal directions - Invariants; 2.7 Extremum values of the normal strain
2.8 Cayley-Hamilton's theorem2.9 Deviatoric strains; 2.10 Important strain invariants; 2.11 Change of coordinate system - Mohr's circle; 2.12 Special states of strain; Chapter 3. Stress tensor; 3.1 Introduction; 3.2 Change of coordinate system; 3.3 Principal stresses and principal directions - Invariants; 3.4 Stress deviator tensor; 3.5 Change of coordinate system - Mohr's circle; 3.6 Special states of stress; 3.7 Equations of motion; 3.8 Weak formulation - Principle of virtual work; Chapter 4. Hyper-elasticity; 4.1 Strain energy and hyper-elasticity 4.2 Complementary energy and hyper-elasticity4.3 Linear hyper-elasticity Anisotropy; 4.4 Linear elasticity - Matrix formulation; 4.5 Change of coordinate system when using matrix format; 4.6 Anisotropy in linear hyper-elasticity; 4.7 Initial strains - Thermoelasticity; 4.8 Most general isotropic hyper-elasticity; 4.9 Isotropic linear elasticity; 4.10 Nonlinear isotropic Hooke formulation; 4.11 Plane strain; 4.12 Plane stress; 4.13 Incompressible linear hyper-elasticity; Chapter 5. Cauchy-elasticity; 5.1 Response function, principle of coordinate invariance and isotropic tensor function 5.2 Most general isotropic Cauchy-elasticity5.3 Proof of most general form of isotropic Cauchy-elasticity; 5.4 Nonlinear isotropic Hooke formulation; Chapter 6. Representation theorems; 6.1 Scalar functions; 6.2 Second-order tensor functions; 6.3 Thermoelasticity; 6.4 Viscoelasticity; 6.5 Orthotropic linear elasticity; 6.6 Transverse isotropic linear elasticity; Chspter 7. Hypo - elasticity; 7.1 Time-independent response; Chapter 8. Failure and initial yield criteria; 8.1 Haigh-Westergaard coordinate system - Geometrical interpretation of stress invariants 8.2 Symmetry properties of the failure or initial yield curve in the deviatoric plane8.3 von Mises criterion; 8.4 Drucker-Prager criterion; 8.5 Coulomb criterion; 8.6 Mohr's failure mode criterion; 8.7 Tresca criterion; 8.8 Experimental results for metals and steel - von Mises versusTresca; 8.9 Rankine criterion and modified Coulomb criterion; 8.10 Experimental results for concrete versus the modified Coulomb criterion; 8.11 4-parameter criterion; 8.12 Experimental results for concrete versus the 4-parameter criterion; 8.13 Anisotropic criteria; Chapter 9. Introduction to plasticity theory 9.1 Change of yield surface due to loading - Hardening rules |
| Record Nr. | UNINA-9910784539103321 |
|
Ottosen Niels Saabye
|
||
| Amsterdam ; ; London, : Elsevier, 2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The mechanics of constitutive modeling / / Niels Saabye Ottosen, Matti Ristinmaa
| The mechanics of constitutive modeling / / Niels Saabye Ottosen, Matti Ristinmaa |
| Autore | Ottosen Niels Saabye |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Amsterdam ; ; London, : Elsevier, 2005 |
| Descrizione fisica | 1 online resource (759 p.) |
| Disciplina | 620.105015118 |
| Altri autori (Persone) | RistinmaaMatti |
| Soggetto topico |
Mechanics, Applied - Mathematical models
Mathematics |
| ISBN |
1-281-02469-4
9786611024697 0-08-052569-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Front Cover; The Mechanics of Constitutive Modeling; Copyright Page; Contents; Preface; Chapter 1. Notations and Cartesian tensors; 1.1 Matrix notation; 1.2 Cartesian coordinate system; 1.3 Index notation; 1.4 Change of coordinate system; 1.5 Cartesian tensors; 1.6 Example of tensors - Isotropic tensors; Chapter 2. Strain tensor; 2.1 Introduction; 2.2 Small strain tensor; 2.3 Rigid-body motions; 2.4 Physical significance of the strain tensor; 2.5 Change of coordinate system; 2.6 Principal strains and principal directions - Invariants; 2.7 Extremum values of the normal strain
2.8 Cayley-Hamilton's theorem2.9 Deviatoric strains; 2.10 Important strain invariants; 2.11 Change of coordinate system - Mohr's circle; 2.12 Special states of strain; Chapter 3. Stress tensor; 3.1 Introduction; 3.2 Change of coordinate system; 3.3 Principal stresses and principal directions - Invariants; 3.4 Stress deviator tensor; 3.5 Change of coordinate system - Mohr's circle; 3.6 Special states of stress; 3.7 Equations of motion; 3.8 Weak formulation - Principle of virtual work; Chapter 4. Hyper-elasticity; 4.1 Strain energy and hyper-elasticity 4.2 Complementary energy and hyper-elasticity4.3 Linear hyper-elasticity Anisotropy; 4.4 Linear elasticity - Matrix formulation; 4.5 Change of coordinate system when using matrix format; 4.6 Anisotropy in linear hyper-elasticity; 4.7 Initial strains - Thermoelasticity; 4.8 Most general isotropic hyper-elasticity; 4.9 Isotropic linear elasticity; 4.10 Nonlinear isotropic Hooke formulation; 4.11 Plane strain; 4.12 Plane stress; 4.13 Incompressible linear hyper-elasticity; Chapter 5. Cauchy-elasticity; 5.1 Response function, principle of coordinate invariance and isotropic tensor function 5.2 Most general isotropic Cauchy-elasticity5.3 Proof of most general form of isotropic Cauchy-elasticity; 5.4 Nonlinear isotropic Hooke formulation; Chapter 6. Representation theorems; 6.1 Scalar functions; 6.2 Second-order tensor functions; 6.3 Thermoelasticity; 6.4 Viscoelasticity; 6.5 Orthotropic linear elasticity; 6.6 Transverse isotropic linear elasticity; Chspter 7. Hypo - elasticity; 7.1 Time-independent response; Chapter 8. Failure and initial yield criteria; 8.1 Haigh-Westergaard coordinate system - Geometrical interpretation of stress invariants 8.2 Symmetry properties of the failure or initial yield curve in the deviatoric plane8.3 von Mises criterion; 8.4 Drucker-Prager criterion; 8.5 Coulomb criterion; 8.6 Mohr's failure mode criterion; 8.7 Tresca criterion; 8.8 Experimental results for metals and steel - von Mises versusTresca; 8.9 Rankine criterion and modified Coulomb criterion; 8.10 Experimental results for concrete versus the modified Coulomb criterion; 8.11 4-parameter criterion; 8.12 Experimental results for concrete versus the 4-parameter criterion; 8.13 Anisotropic criteria; Chapter 9. Introduction to plasticity theory 9.1 Change of yield surface due to loading - Hardening rules |
| Record Nr. | UNINA-9910954058903321 |
|
Ottosen Niels Saabye
|
||
| Amsterdam ; ; London, : Elsevier, 2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||