Solid Mechanics Part I: An Introduction to Solid Mechanics

This book is primarily aimed at the Part II-III Engineering undergraduate student (although some sections are more appropriate to the graduate student or researcher).

Please send any errors, typos, comments, etc. to pa.kelly@auckland.ac.nz (I am always interested to hear who is reading these notes, and where you are from).

To reference these notes, see here.

Return to Mechanics Lecture Notes

Table of Contents

	*	= an advanced topic which may be skipped (certainly in a first course)
					Last updated
1.	Introduction			1	04-May-15
	1.1	What is Solid Mechanics?		3	04-May-15
	1.2	What is in this Book?		7	04-May-15
	complete pdf

2.	Statics of Rigid Bodies			9	04-May-15
	2.1	The Fundamental Concepts and Principles of Mechanics		11	04-May-15
	2.2	The Statics of Particles		14	04-May-15
	2.3	The Statics of Rigid Bodies		19	04-May-15
	complete pdf

3.	Stress			29	04-May-15
	3.1	Surface and Contact Stress		31	07-May-19
	3.2	Body Forces		39	04-May-15
	3.3	Internal Stress		42	06-May-15
	3.4	Equilibrium of Stress		52	04-May-15
	*	3.4b	Stress Transformation: Further Aspects	59	04-May-15
	3.5	Plane Stress		62	26-Apr-19
	*	3.5b	Stress Boundary Conditions: Continued	80	04-May-15
	complete pdf

4.	Strain			85	04-May-15
	4.1	Strain		87	04-May-15
	4.2	Plane Strain		101	04-May-15
	4.3	Volumetric Strain		110	04-May-15
	complete pdf

5.	Material Behaviour and Mathematical Modelling			113	06-May-15
	5.1	Mechanics Modelling		115	07-Dec-20
	5.2	The Response of Real Materials		119	06-May-15
	5.3	Material Models		134	06-May-15
	5.4	The Continuum		137	06-May-15
	complete pdf

6.	Linear Elasticity			143	07-May-15
	6.1	The Linear Elastic Model		145	17-May-15
	6.2	Homogeneous Problems in Linear Elasticity		154	11-May-15
	*	6.3 Anisotropic Elasticity		156	14-May-15
	complete pdf

7.	Applications of Elasticity			167	14-May-15
	7.1	One Dimensional Axial Deformations		169	14-May-15
	7.2	Torsion		179	14-May-15
	7.3	Pressure Vessels		185	19-May-15
	7.4	Beams		194	16-Oct-18
	7.5	Buckling		222	17-May-15
	complete pdf

8.	Energy and Virtual Work			229	3-Jun-15
	8.1	Energy in Deforming Materials		231	23-May-15
	8.2	Elastic Strain Energy		242	20-Apr-21
	*	8.3 Complementary Energy		256	3-Jun-15
	*	8.4 Strain Energy Potentials		258	3-Jun-15
	*	8.5 Virtual Work		262	3-Jun-15
	*	8.6 The Principle of Minimum Potential Energy		270	3-Jun-15
	complete pdf

9.	Failure			275	3-Jun-15
	9.1	Material Failure		277	3-Jun-15
	complete pdf

10.	Viscoelasticity			283	3-Jun-15
	10.1	The Response of Viscoelastic Materials		285	3-Jun-15
	10.2	Examples and Applications of Viscoelastic Materials		289	3-Jun-15
	10.3	Rheological Models		292	19-Jul-19
	*	10.3b Rheological Models: Spectra		302	31-Jan-24
	*	10.4 The Hereditary Integral		306	3-Jun-15
	*	10.5 Linear Viscoelasticity and the Laplace Transform		318	17-Jan-23
	*	10.6 Oscillatory Stress, Dynamic Loading and Vibrations		325	3-Jun-15
	*	10.7 Temperature-dependant Viscoelastic Materials		337	3-Jun-15
	complete pdf

11	Plasticity
	11.1	Plasticity

12	Viscoplasticity
	12.1	Viscoplasticity

Index