Elementary continuum mechanics for everyone : "I need it like I need another hole in my head"

Indeholder "Preface to the Second Edition", "Preface to the First Edition", "I. Continuum Mechanics", " 1. The Purpose of Continuum Mechanics", " 1.1 Introduction", " 2. Large Displacements and Large Strains", " 2.1 Introduction", " 2.2 Kinematics and Deformation", " 2.2.1 Kinematics and Strain", "

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2.2.2 Kinematic Field Equations - Lagrange Strain", " 2.2.3 Infinitesimal Strains and Rotations", " 2.2.4 Compatibility Equations", " 2.2.5 Kinematic Boundary Conditions", " 2.3 Equilibrium Equations", " 2.3.1 Static Field Equations", " 2.3.2 Properties of the Stress Vector - Static Boundary Conditions", " 2.4 Principle of Virtual Displacements", " 2.4.1 The Budiansky-Hutchinson Dot Notation", " 2.4.2 Generalized Strains and Stresses", " 2.5 Constitutive Relations", " 2.5.1 Hypereleastic Materials", " 2.5.2 Plastic Materials", " 2.6 Potential Energy", " 2.7 Static Equations by the Principle of Virtual Displacements", " 3. Kinematically Moderately Nonlinear Theory", " 3.1 Introduction", " 4. Infinitesimal Theory", " 4.1 Introduction", " 4.2 Kinematics and Deformation", " 4.2.1 Kinematics and Strain", " 4.2.2 Compatibility Equations", " 4.2.3 Kinematic Boundary Conditions", " 4.2.4 Interpretation of Strain Components", " 4.2.4.1 Both Indices Equal", " 4.2.4.1 Different Indices", " 4.2.5 Transformation of Strain", " 4.2.5.1 Transformation of Coordinates", " 4.2.5.2 Transformation of Displacement Components and Strains", " 4.2.6 Principal Strains", " 4.3 Equilibrium Equations", " 4.3.1 Interpretations of Stress Components", " 4.3.2 Transformation of Stress", " 4.3.3 Principal Stresses", " 5. Constitutive Relations", " 5.1 Rearrangement of Strain and Stress Components", " 5.2 Linear Elasticity", " 5.2.1 Isotropic Linear Elasticity", " Example 5-1 Special Strain and Stress. States in Elastic Bodies", " Example 5-1.1 Plane Strain", " Example 5-1.2 Plane Stress", " 5.3 Nonlinear Constitutive Models", " 5.4 Plasticity", " 5.4.1 One-Dimensional Case", " 5.4.1.1 Rigid Perfect Plasticity", " 5.4.1.2 Steel", " 5.4.1.3 Concrete", " 5.4.1.4 Wood", " 5.4.1.5 Strain Hardening", " 5.4.1.6 Unloading - Reloading", " 5.4.2 Multi-Axial Plastic States", " 5.4.2.1 von Mises' "Law"", " 5.4.2.2 Tresca' "Law"", " 5.4.2.3 Unloading - Reloading", " 5.4.2.3.1 Kinematic Hardening", " 5.4.2.3.2 Isotropic Hardening", "II. Specialized Continua", " 6. Plane, Straight Beams", " 6.1 Fully Nonlinear Beam Theory", " 6.1.1 Kinematics", " 6.1.2 The Elastica", " 6.2 Kinematically Moderately Nonlinear Straight Beams", " 6.2 1 Kinematics", " Example 6-1 Rigid Rotation of a Beam", " 6.2.1.1 A Note on the Importance of a Consistent Theory", " 6.2.2 Equilibrium Equations", " 6.2.3 Interpretation of the Static Quantities", " 6.3 Kinematically Linear Straight Beams", " 6.4 Plane, Straight Elastic Beams", " Example 6-2 The Euler Column", " 7. Plane, Curved Beams", " 7.1 Kinematically Fully Nonlinear Curved Beams", " 7.2 Kinematically Moderately Nonlinear Curved Beams", " 7.3 Kinematically Linear Curved Beams", " 8. Plane Plates", " 8.1 Kinematically Moderately Nonlinear Plates", " 8.1.1 Kinematic Description", " 8.1.2 Internal Virtual Work", " 8.1.3 External Virtual Work", " 8.1.4 Principle of Virtual Displacements", " 8.1.5 Equilibrium Equations", " 8.1.6 Interpretation of Static Quantities", " 8.2 Plane Elastic Plates", " 8.2.1 Generalized Quantities", " 8.2.2 Isotropic Plates", " 8.2.3 Differential Equations", " 8.2.4 Boundary Conditions", " 8.2.4.1 Kinematic Boundary Conditions", " 8.2.4.2 Static Boundary Conditions", " 8.2.5 The Airy Stress Function", " 8.2.6 Other Stress Functions", " 8.3 Kinematically Linear Plates", "III. Buckling", " 9. Stability - Buckling", " 10. Stability Concepts", " 10.1 Static Stability and Instability Phenomena", " 10.1.1 Limit Load Buckling", " 10.1.2 Bifurcation Buckling", " 10.1.3 Further Remarks", " 10.2 Criteria for Stability and Instability", " 10.2.1 Static Neighboring Equilibrium Stability Criteria", " 10.2.2 Energy Based Static Stability Criteria", " 10.2.3 Dynamic Stability Criteria", " 10.3 Methods to Determine Stability and Instability", " 10.4 Introductory Example", " Example 10-1 Model Column", " Example 10-1.1 Perfect Model Column", " Example 10-1.2 The Method of Neighboring Equilibrium", " Example 10-1.3 Potential Energy", " Example 10-1.4 Dynamic Method", " Example 10-1.5 Imperfect Model Column", " 11. Elastic Buckling Problems with Linear Prebuckling", " 11.1 Nonlinear Prebuckling", " 11.2 Some Prequisites", " 11.3 Linear Prebuckling", " 11.3.1 Principle of Virtual Displacements", " 11.3.2 Buckling. Classical Critical Load", " 11.3.3 Higher Bifurcation Loads", " Example 11-1 The Euler Column", " Example 11-1.1 Generalized Quantities and Interpretations of the Budiansky-Hutchinson Notation", " Example 11-1.2 Boundary Conditions", " Example 11-1.3 Prebuckling", " Example 11-1.4 Buckling", " Example 11-2 Buckling of an Elastic Plate", " Example 11-2.1 Generalized Quantities and Interpretations of the Budiansky-Hutchinson Notation", " Example 11-2.2 Boundary Conditions", " Example 11-2.3 Prebuckling", " Example 11-2.4 Buckling", " 11.3.4 Expansion Theorem", " 11.3.5 Numerical and Approximate Solutions, the Rayleigh Quotient", " 11.3.6 Stationarity of the Rayleigh Quotient", " 11.3.7 Minimum Property of the Rayleigh Quotient", " 11.3.8 The Rayleigh-Ritz Procedure", " 11.3.9 Finite Element Notation", " 11.3.10 A Word of Caution", " 11.3.11 Examples of Application of the Rayleigh Quotient and the Rayleigh-Ritz Procedure", " Example 11-3 Roorda's Frame - An Application of the Rayleigh-Ritz Procedure", " Example 11-3.1 One-Parameter Solution", " Example 11-3.2 Two-Parameter Solution", " Example 11-4 Buckling of a Plane Plate - the Rayleigh-Ritz Procedure", " Example 11-4.1 One-Parameter Solution", " Example 11-4.2 Two-Parameter Solution", " 11.3.12 Concluding Remarks on the Examples Above", "IV. Mathematical Preliminaries", " 12. Introduction", " 13. Notation and Nomenclature", " 13.1 Notation", " 13.1.1 Overbar", " 13.1.2 Tilde", " 13.1.3 Indices", " 13.1.4 Vectors and Matrices", " 13.1.5 Fields", " 13.2 Nomenclature", " 14. Index Notation, the Summation Convention, and a Little About Tensor Analysis", " 14.1 Index Notation", " 14,2 Summation Convention", " 14.3 Generalized Coordinates", " 14.3.1 Vectors as Generalized Coordinates", " 14.3.2 Functions as Generalized Coordinates", " 15. Introduction to Variational Principles", " 15.1 Introduction", " 15.2 Functionals", " Example 15-1 A Broken Pocket Calculator", " Example 15-1.1 Parabola With Three Terms", " Example 15-1.2 Fifth Degree Approximations", " Example 15-1.3 Variations", " 15.3 Systems with a Finite Number of Degrees of Freedom", " Example 15-2 A "Structure" with One Degree of Freedom", " Example 15-3 A "Structure" with Two Degrees of Freedom", " 15.4 Systems with Infinitely Many Degrees of Freedom", " Example 15-4 A "Structure" with Infinitely Many Degrees of Freedom", " 15.5 Lagrange Multipliers", " Example 15-5 A Structure with Auxiliary Conditions - The Euler Column", " Example 15-5.1 Potential Energy", " Example 15-5.2 Modified Potential Energy", " 15.6 General Treatment", " 16. Budiansky-Hutchinson Notation", " 16.1 Linear, Quadratic and Bilinear Operators", " 16.2 Principle of Virtual Displacements", " 16.3 Variation of a Potential", " 16.4 Potential Energy", " 16.5 Auxiliary Conditions", " 16.6 Lagrange Multipliers", " 16.6.1 Principle of Virtual Displacements", " 16.7 Interpretation of the Budiansky-Hutchinson Notation for Selected Examples", " 16.7.1 Interpretations Related to Example 15-2", " 16.7.2 Interpretations Related to Example 15-3", " 16.7.3 Interpretations Related to Example 15-4", " 16.7.4 Interpretations Related to Example 15-5", " 16.7.5 Interpretations Related to Sections 6.2 and 6.4", " 16.7.6 Interpretations Related to Section 8.1", "Bibliography".

Teori bagved mekaniske konstruktion og hvordan man regner på hvad der bliver stående og hvad der falder om af sig selv.

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