| Section | Topic | Key Concepts & Sub-topics | | :--- | :--- | :--- | | | Introductory Concepts | 1.1 One-Dimensional Elastodynamics, 1.2 Three-Dimensional Equations of Motion, 1.3 Compatibility of Strain. | | 2 | One-Dimensional Problems | 2.1 Elastostatics, 2.2 The Statically Indeterminate Rod. | | 3 | Two-Dimensional (Plane) Elasticity | 3.1 Plane Stress and Plane Strain, 3.2 Equations of Plane Elasticity, 3.3 Stress Function Solution (e.g., Airy Stress Function). | | 4 | Two-Dimensional (Plane) Elasticity Solutions | 4.1-4.4 The Bending of a Beam, Plate with a Circular Hole (Kirsch Solution), The Curved Beam, 4.5-4.6 Quasi-Axisymmetric & Michell Solution. | | 5 | Further Topics in Plane Elasticity | 5.1 The Concentrated Force, 5.2 Contact Mechanics (Hertzian Contact), 5.3 The Wedge, 5.4 Fracture Mechanics. | | 6 | Plate Theory | 6.1-6.2 Kinematics & Equilibrium of Plates, 6.3-6.8 Boundary Conditions, Solutions for Rectangular & Circular Plates, 6.9-6.10 Large Deflection & Other Effects. | | 7 | Three-Dimensional Elasticity | 7.1-7.2 Equations of Motion & Strain-Displacement, 7.3 Hooke's Law & Navier's Equations, 7.4-7.5 General Principles (Uniqueness, Superposition). | | 8 | Plasticity | 8.1-8.2 One-Dimensional & Yield Criteria (Tresca, von Mises), 8.3-8.4 Flow Rules & Hardening Rules, 8.5-8.7 Elastic-Plastic Problems, 8.8 General Theory. |

Solid Mechanics Part II is a significant step up in difficulty from introductory courses. Here is how to tackle the material:

Undergraduate engineering students (Part II-IV). Focus: Small strain engineering solid mechanics.

Details the yield criterion, primarily used for ductile metals under multi-axial stress. Details the Tresca (Maximum Shear Stress) yield criterion.

(the focus of this keyword). Part III: Foundations of Continuum Solid Mechanics. Part IV: Material Models in Continuum Solid Mechanics. Core Topics in Solid Mechanics Part II

Analysis of yielding in materials.

Kelly, P. A. (n.d.). Solid Mechanics Part II. [PDF file]. Retrieved from

Analyzing beams where loads do not align with the principal axes of the cross-section.

Here is a concise guide on how to locate and access the material: