Stress concentration at notches /
| Main Authors: | , |
|---|---|
| Corporate Author: | |
| Format: | eBook |
| Language: | English |
| Published: |
Switzerland :
Springer,
[2017]
|
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
Table of Contents:
- Preface; Contents; Acronyms; 1 Method of Singular Integral Equations in Application to Problems of the Theory of Elasticity; 1.1 Basic Relationships of the Plane Theory of Elasticity; 1.1.1 Basic Equations; 1.1.2 Complex Representation of General Solution for Equations of Plane Theory of Elasticity; 1.2 System of Curvilinear Cracks in Elastic Plane; 1.2.1 Selected Information Concerning the Theory of Analytical Functions; 1.2.2 Single Curvilinear Crack; 1.2.3 System of Curvilinear Cracks; 1.3 System of Curvilinear Holes and Cracks in Elastic Body; 1.3.1 Multiply Connected Region with Holes
- 1.3.2 Multiply Connected Region with Holes and Cracks1.4 Numerical Solution of Singular Integral Equations #x83;; 1.4.1 Quadrature Formulas; 1.4.2 Integral Equation on an Open Contour; 1.4.3 Integral Equation on a Closed Contour; References; 2 Stress Distribution in Elastic Plane with a Semi-infinite Notch; 2.1 Methods for Stress Analysis in Notched Bodies; 2.2 Eigensolutions of Elasticity Theory Plane Problem for Wedge; 2.2.1 Characteristic Equations; 2.2.2 Stress Intensity Factors in V-Notch Tip; 2.2.3 Constructing General Solution Using Eigenfunctions
- 2.3 Semi-infinite Curvilinear Notches in Elastic Plane2.3.1 Parabolic Notch; 2.3.2 Hyperbolic Notch; 2.3.3 Curvilinear Notch of Special Shape; 2.4 Rounded V-Notch Under Symmetrical Loading; 2.4.1 Problem Definition and Reduction to Singular Integral Equation; 2.4.2 Symmetrical Stress Distribution in Plane with Rounded V-Notch; 2.5 Rounded V-Notch Under Mixed Loading; 2.5.1 Antisymmetric Stress Distribution; 2.5.2 Complex-Stressed State; References; 3 Elastic Plane with Semi-infinite Notch and Cracks; 3.1 Elastic Wedge with Edge Crack at Notch Tip
- 3.1.1 Solutions Obtained Using Wiener
- Hopf Method3.1.2 Approximate Closed-Form Solution for Symmetrical Loading; 3.2 Edge Crack System in Semi-infinite Rounded V-Notch Tip; 3.2.1 Reduction of Problem to Singular Integral Equations; 3.2.2 Numerical Solution of Singular Integral Equations; 3.3 Symmetrical Edge Crack in Rounded V-Notch Tip; 3.4 Two Symmetrical Edge Cracks in Rounded V-Notch Tip; References; 4 Deformation Fracture Criterion for Bodies with Notches; 4.1 Fracture Criteria for Notched Solid Bodies; 4.2 Model of Plasticity Bands in Fracture Mechanics; 4.2.1 Plane Stress State
- 4.2.2 Plane Strain State4.3 Infinite Wedge with Plasticity Bands; 4.3.1 Plane Stress State; 4.3.2 Plane Strain State; 4.4 Plasticity Band Near Rounded V-Notch; 4.5 Two Plasticity Bands Near Rounded V-Notch; References; 5 Stress Concentration Near Hole in Elastic Plane; 5.1 Elliptical Hole; 5.1.1 Stress Concentration Near Elliptical Hole; 5.1.2 Limit Transition to Parabolic Notch; 5.1.3 Stress Distribution Around Notch Tip; 5.2 Oval Hole; 5.2.1 Stress Concentration Near Narrow Slot; 5.2.2 Stress Concentration Near Oval Hole; 5.2.3 Limit Transition to Two-Tip Lens-Like Hole; 5.3 Rhombic Hole