Mechanical Behaviour of Engineering Materials von Y.M. Haddad | Volume 1: Static and Quasi-Static Loading | ISBN 9781402003493

Mechanical Behaviour of Engineering Materials

Volume 1: Static and Quasi-Static Loading

von Y.M. Haddad
Buchcover Mechanical Behaviour of Engineering Materials | Y.M. Haddad | EAN 9781402003493 | ISBN 1-4020-0349-8 | ISBN 978-1-4020-0349-3

Mechanical Behaviour of Engineering Materials

Volume 1: Static and Quasi-Static Loading

von Y.M. Haddad

Inhaltsverzeichnis

  • 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.