Advanced Mechanics Of Materials And Applied Elasticity

Advanced Mechanics Of Materials And Applied Elasticity

Contents
  • Cartesian Tensors
  • Definition And Rules Of Operation Of Tensors Of The Second Rank
  • Transformation Of The Cartesian Components Of A Tensor Of The Second
  • Rank Upon Rotation Of The System Of Axes To Which They Are Referred
  • Definition Of A Tensor Of The Second Rank On The Basis
  • Of The Law Of Transformation Of Its Components
  • Symmetric Tensors Of The Second Rank
  • Invariants Of The Cartesian Components Of A Symmetric Tensor
  • Of The Second Rank
  • Stationary Values Of A Function Subject To A
  • Constraining Relation
  • Stationary Values Of The Diagonal Components Of A
  • Symmetric Tensor Of The Second Rank
  • Quasi Plane Form Of Symmetric Tensors Of The Second Rank
  • Stationary Values Of The Diagonal And The Non-Diagonal
  • Components Of The Quasi Plane, Symmetric Tensors Of The
  • Second Rank
  • Mohr’s Circle For Quasi Plane, Symmetric Tensors Of The
  • Second Rank
  • Maximum Values Of The Non-Diagonal Components Of A
  • Symmetric Tensor Of The Second Rank
  • Problems
  • Strain And Stress Tensors
  • The Continuum Model
  • External Loads
  • The Displacement Vector Of A Particle Of A Body
Components Of Strain Of A Particle Of A Body
  • Implications Of The Assumption Of Small Deformation
  • Proof Of The Tensorial Property Of The Components Of Strain
  • Traction And Components Of Stress Acting On A Plane Of
  • A Particle Of A Body
  • Proof Of The Tensorial Property Of The Components Of Stress
  • Properties Of The Strain And Stress Tensors
  • Components Of Displacement For A General Rigid Body
  • Motion Of A Particle
  • The Compatibility Equations
  • Measurement Of Strain
  • The Requirements For Equilibrium Of The Particles Of A Body
  • Cylindrical Coordinates
  • Strain–Displacement Relations In Cylindrical Coordinates
  • The Equations Of Compatibility In Cylindrical Coordinates
  • The Equations Of Equilibrium In Cylindrical Coordinates
  • Problems
  • Stress–Strain Relations
  • Introduction
  • The Uniaxial Tension Or Compression Test Performed
  • In An Environment Of Constant Temperature
  • Strain Energy Density And Complementary Energy Density For
  • Elastic Materials Subjected To Uniaxial Tension Or Compression
  • Effect Of Pressure, Rate Of Loading And Temperature
  • On The Response Of Materials Subjected To Uniaxial
  • States Of Stress