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
