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Mechanical Behaviour of Engineering Materials
Volume 1: Static and Quasi-Static Loading
von Y.M. HaddadInhaltsverzeichnis
- 1 Cartesian Tensors.
- 1.1 Introduction.
- 1.2 Indicial Notation.
- 1.3 Coordinate Transformation.
- 1.4 Tensor Algebra.
- 1.5 Special Tensors.
- 1.6 Some Applications of Cartesian Tensors.
- Example & quiz problems.
- 1.7 Principle Values and Principal Directions of Symmetric Second-Order Tensors.
- 1.8 Tensor Fields.
- 1.9 Divergence and Gradient Operations.
- 1.10 Common Tensor Operations.
- 1.11 Problems.
- 1.12 References.
- 1.13 Further Reading.
- 2 Analysis of Stress.
- 2.1 Introduction.
- 2.2 The “Continuous” Medium.
- 2.3 Fundamental Principles of Continuum Mechanics.
- 2.4 Analysis of Stress.
- 2.5 Stress Boundary Conditions.
- 2.6 Principal Axes of Stress, Principal Planes and Principal Stresses.
- 2.7 Piola-Kirchhoff s Stress Tensor.
- 2.8 Problems.
- 2.9 Remarks on the Actual Three-Dimensional Stresses in Materials.
- 2.10 eferences.
- 2.11 Further Reading.
- 3 Deformation and Strain Analysis of Motion.
- 3.1 Introduction.
- 3.2 Deformation Kinematics and Measures of Strain.
- 3.3 Problems.
- 3.4 Analysis of Motion.
- 3.5 Objective Tensors.
- 3.6 Problems.
- 3.7 Further Reading.
- 4 Thermomechanical Continua.
- 4.1 Introduction.
- 4.2 The Laws of Thermodynamics.
- 4.3 Thermodynamics of Continuous Media.
- 4.4 Thermodynamics of the Deformation Process.
- 4.5 Problems.
- 4.6 References.
- 4.7 Further Reading.
- 5 Transition to the Response Behaviour of Engineering Materials.
- 5.1 Introduction.
- 5.2 The Constitutive Equation.
- 5.3 Pertinent Notions of Analytical (Phenomenological) Mechanics.
- 5.4 Problems.
- 5.5 References.
- 5.6 Further Reading.
- 6 Elastic Response Behaviour.
- 6.1 Introduction.
- 6.2 Nonlinear Elasticity.
- 6.3 Linear Elasticity.
- 6.4 Problems.
- 6.5 The Elastic Boundary Value Problem.
- 6.6 Solved Problems in Linear Elasticity.
- 6.7 References.
- 6.8 Further Reading.
- 7 Elastic-PlasticBehaviour.
- 7.1 Introduction.
- 7.2 Elastic-Plastic Behaviour under Static Loading.
- 7.3 Yield Surfaces.
- 7.4 Post-Yield Behaviour Changes in the Yield Surface.
- 7.5 Constitutive Relations.
- 7.6 The Boundary Value Problem in Plasticity.
- 7.7 Derivation of the “Plane Problem” from the “Three-Dimensional Problem” Quadratic yield condition.
- 7.8 The Three-Dimensional Problem under General Yield Function.
- 7.9 The “Plane Problem” under General Yield Condition.
- 7.10 Problems.
- 7.11 Review Problems.
- 7.12 Transition to the Creep of Metals and Alloys.
- 7.13 Transition to Stress-Relaxation of Metals and Alloys.
- 7.14 Problems.
- 7.15 References.
- 7.16 Further Reading.
- 8 Viscoelastic Behaviour.
- 8.1 Introduction.
- 8.2 Linear Viscoelastic Behaviour.
- 8.2.2 Description in the “Fourier-spectrum” domain.
- 8.3 Inverse-relations between “Fourier-Spectrum” and “Creep and Relaxation Functions”.
- 8.4 Inter-relations between “Retardation-time” and”Relaxation-time” Spectra.
- 8.5 Inter-relations between “Fourier”, “Retardation-time” and “Relaxation-time” Spectra.
- 8.6 Inverse-relations between “Fourier”, “Retardation-time” and “Relaxation-time” Spectra.
- 8.7 Applications.
- 8.8 Problems.
- 8.9 Transition to Thermoviscoelasticity.
- 8.10 Problems.
- 8.11 References.
- 8.12 Further Reading.
- Appendix A Curvilinear Tensors.
- A.1 Introduction.
- A 2 Preliminary Material.
- A 3 Differential Geometry.
- A 4 Physical Components.
- A 5 Tensor Calculus.
- A.6 Problems.
- A.7 Further Reading.
- Appendix B Delta and Step Functions.
- B.1 The Delta Function 8(t).
- B.2 The Step “Heaviside” Function H(t).
- B 3 References.
- Appendix C Integral Transforms.
- C.1 Introduction.
- C.2 Laplace Transform.
- C.3 Problems.
- C.4 Fourier Transform.
- C.5 Problems.
- C.6References.
- C.7 Further Reading.
- Cumulative Subject Index.