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Nonlinear solid mechanics : a continuum approach for engineering / Gerhard A. Holzapfel.
Publication details: Chichester ; New York : Wiley, c2000.Description: xiv, 455 p. : ill. ; 25 cmISBN:- 9780471823193 (pbk.) :
- 0471823198 (pbk.) :
- QA808.2 .H655 2000
Contents:
1. Introduction to Vectors and Tensors. 1.1. Algebra of Vectors. 1.2. Algebra of Tensors. 1.3. Higher-order Tensors. 1.4. Eigenvalues, Eigenvectors of Tensors. 1.5. Transformation Laws for Basis Vectors and Components. 1.6. General Bases. 1.7. Scalar, Vector, Tensor Functions. 1.8. Gradients and Related Operators. 1.9. Integral Theorems -- 2. Kinematics. 2.1. Configurations, and Motions of Continuum Bodies. 2.2. Displacement, Velocity, Acceleration Fields. 2.3. Material, Spatial Derivatives. 2.4. Deformation gradient. 2.5. Strain Tensors. 2.6. Rotation, Stretch Tensors. 2.7. Rates of Deformation Tensors. 2.8. Lie Time Derivatives -- 3. The Concept of Stress. 3.1. Traction Vectors, and Stress Tensors. 3.2. Extremal Stress Values. 3.3. Examples of States of Stress. 3.4. Alternative Stress Tensors -- 4. Balance Principles. 4.1. Conservation of Mass. 4.2.++
Reynolds' Transport Theorem. 4.3. Momentum Balance Principles. 4.4. Balance of Mechanical Energy. 4.5. Balance of Energy in Continuum Thermodynamics. 4.6. Entropy Inequality Principle. 4.7. Master Balance Principle -- 5. Some Aspects of Objectivity. 5.1. Change of Observer, and Objective Tensor Fields. 5.2. Superimposed Rigid-body Motions. 5.3. Objective Rates. 5.4. Invariance of Elastic Material Response -- 6. Hyperelastic Materials. 6.1. General Remarks on Constitutive Equations. 6.2. Isotropic Hyperelastic Materials. 6.3. Incompressible Hyperelastic Materials. 6.4. Compressible Hyperelastic Materials. 6.5. Some Forms of Strain-energy Functions. 6.6. Elasticity Tensors. 6.7. Transversely Isotropic Materials. 6.8. Composite Materials with Two Families of Fibers. 6.9. Constitutive Models with Internal Variables. 6.10. Viscoelastic Materials at Large Strains. 6.11.++
Hyperelastic Materials with Isotropic Damage -- 7. Thermodynamics of Materials. 7.1. Physical Preliminaries. 7.2. Thermoelasticity of Macroscopic Networks. 7.3. Thermodynamic Potentials. 7.4. Calorimetry. 7.5. Isothermal, Isentropic Elasticity Tensors. 7.6. Entropic Elastic Materials. 7.7. Thermodynamic Extension of Ogden's Material Model. 7.8. Simple Tension of Entropic Elastic Materials. 7.9. Thermodynamics with Internal Variables -- 8. Variational Principles. 8.1. Virtual Displacements, Variations. 8.2. Principle of Virtual Work. 8.3. Principle of Stationary Potential Energy. 8.4. Linearization of the Principle of Virtual Work. 8.5. Two-field Variational Principles. 8.6. Three-field Variational Principles.
| Item type | Current library | Home library | Shelving location | Call number | Status | Date due | Barcode | |
|---|---|---|---|---|---|---|---|---|
Books
|
American University in Dubai | American University in Dubai | Main Collection | QA 808.2 .H655 2000 (Browse shelf(Opens below)) | Available | 5047941 |
Browsing American University in Dubai shelves, Shelving location: Main Collection Close shelf browser (Hides shelf browser)
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| QA 807 .A34 Mechanics, vibrations and waves / | QA 807 .S9 1959 Principles of mechanics | QA 808.2 .G863 2010 The mechanics and thermodynamics of continua / | QA 808.2 .H655 2000 Nonlinear solid mechanics : a continuum approach for engineering / | QA 808.2 .L44 2020 Advanced continuum theories and finite element analyses / | QA 808.2 .T69 2004 The non-linear field theories of mechanics / | QA 841 .P37 Kinematics / |
Includes bibliographical references (p. 415-433) and index.
1. Introduction to Vectors and Tensors. 1.1. Algebra of Vectors. 1.2. Algebra of Tensors. 1.3. Higher-order Tensors. 1.4. Eigenvalues, Eigenvectors of Tensors. 1.5. Transformation Laws for Basis Vectors and Components. 1.6. General Bases. 1.7. Scalar, Vector, Tensor Functions. 1.8. Gradients and Related Operators. 1.9. Integral Theorems -- 2. Kinematics. 2.1. Configurations, and Motions of Continuum Bodies. 2.2. Displacement, Velocity, Acceleration Fields. 2.3. Material, Spatial Derivatives. 2.4. Deformation gradient. 2.5. Strain Tensors. 2.6. Rotation, Stretch Tensors. 2.7. Rates of Deformation Tensors. 2.8. Lie Time Derivatives -- 3. The Concept of Stress. 3.1. Traction Vectors, and Stress Tensors. 3.2. Extremal Stress Values. 3.3. Examples of States of Stress. 3.4. Alternative Stress Tensors -- 4. Balance Principles. 4.1. Conservation of Mass. 4.2.++
Reynolds' Transport Theorem. 4.3. Momentum Balance Principles. 4.4. Balance of Mechanical Energy. 4.5. Balance of Energy in Continuum Thermodynamics. 4.6. Entropy Inequality Principle. 4.7. Master Balance Principle -- 5. Some Aspects of Objectivity. 5.1. Change of Observer, and Objective Tensor Fields. 5.2. Superimposed Rigid-body Motions. 5.3. Objective Rates. 5.4. Invariance of Elastic Material Response -- 6. Hyperelastic Materials. 6.1. General Remarks on Constitutive Equations. 6.2. Isotropic Hyperelastic Materials. 6.3. Incompressible Hyperelastic Materials. 6.4. Compressible Hyperelastic Materials. 6.5. Some Forms of Strain-energy Functions. 6.6. Elasticity Tensors. 6.7. Transversely Isotropic Materials. 6.8. Composite Materials with Two Families of Fibers. 6.9. Constitutive Models with Internal Variables. 6.10. Viscoelastic Materials at Large Strains. 6.11.++
Hyperelastic Materials with Isotropic Damage -- 7. Thermodynamics of Materials. 7.1. Physical Preliminaries. 7.2. Thermoelasticity of Macroscopic Networks. 7.3. Thermodynamic Potentials. 7.4. Calorimetry. 7.5. Isothermal, Isentropic Elasticity Tensors. 7.6. Entropic Elastic Materials. 7.7. Thermodynamic Extension of Ogden's Material Model. 7.8. Simple Tension of Entropic Elastic Materials. 7.9. Thermodynamics with Internal Variables -- 8. Variational Principles. 8.1. Virtual Displacements, Variations. 8.2. Principle of Virtual Work. 8.3. Principle of Stationary Potential Energy. 8.4. Linearization of the Principle of Virtual Work. 8.5. Two-field Variational Principles. 8.6. Three-field Variational Principles.
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