Solid Mechanics Part IV: Material Models in Continuum Solid Mechanics

This is primarily aimed at the Part IV Engineering undergraduate and postgraduate students.

 

Return to Mechanics Lecture Notes

 

 

Table of Contents

 

After the recent update of Part III, this Part (IV) is under re-construction – some notes on various topics are still available for download

 

1.

Non-linear Elasticity

 

 

1.1

Elastic Solids

 

 

1.2

Hyperelasticity

 

 

1.3

Isotropic Elasticity

 

 

1.4

Isotropic Hyperelasticity

 

 

1.5

Anisotropic Elasticity

 

 

1.6

Decoupled Formulation

 

 

1.7

Linearisation

 

 

1.A

Appendix to Chapter 1: Isotropic Functions

 

 

 

 

 

2.

Inelasticity

 

 

2.1

Viscoelasticity

 

 

2.2

Plasticity I: Hypo-elastic Plasticity

 

 

2.3

Plasticity II: the Multiplicative Decomposition

 

 

 

 

 

3.

Thermomechanics

 

 

3.1

Thermoelasticity

 

 

3.2

Heat Conduction

 

 

3.3

Isothermal Viscoelasticity

 

 

3.4

Schapery Viscoelasticity

 

 

3.5

Damage

 

 

3.6

Plasticity