This review article (Part II) is a sequel to an earlier one (Part I) that dealt with means of removal and interpretation of stress singularities in elasticity, as well as their asymptotic and numerical analysis. It reviews contributions to the literature that have actually effected asymptotic identifications of possible stress singularities for specific configurations. For the most part, attention is focused on 2D elastostatic configurations with constituent materials being homogeneous and isotropic. For such configurations, the following types of stress singularity are identified: power singularities with both real and complex exponents, logarithmic intensification of power singularities with real exponents, pure logarithmic singularities, and log-squared singularities. These identifications are reviewed for the in-plane loading of angular elastic plates comprised of a single material in Section 2, and for such plates comprised of multiple materials in Section 3. In Section 4, singularity identifications are examined for the out-of-plane shear of elastic wedges comprised of single and multiple materials, and for the out-of-plane bending of elastic plates within the context of classical and higher-order theory. A review of stress singularities identified for other geometries is given in Section 5, axisymmetric and 3D configurations being considered. A limited examination of the stress singularities identified for other field equations is given as well in Section 5. The paper closes with an overview of the status of singularity identification within elasticity. This Part II of the review has 227 references.
Skip Nav Destination
Close
Sign In or Register for Account
Article navigation
September 2004
Review Articles
Stress singularities in classical elasticity—II: Asymptotic identification
GB Sinclair
GB Sinclair
Department of Mechanical Engineering, Louisiana State University, Baton Rouge, LA 70803-6413; sinclair@me.lsu.edu
Search for other works by this author on:
GB Sinclair
Department of Mechanical Engineering, Louisiana State University, Baton Rouge, LA 70803-6413; sinclair@me.lsu.edu
Appl. Mech. Rev. Sep 2004, 57(5): 385-439 (55 pages)
Published Online: December 21, 2004
Article history
Online:
December 21, 2004
Citation
Sinclair , G. (December 21, 2004). "Stress singularities in classical elasticity—II: Asymptotic identification ." ASME. Appl. Mech. Rev. September 2004; 57(5): 385–439. https://doi.org/10.1115/1.1767846
Download citation file:
- Ris (Zotero)
- Reference Manager
- EasyBib
- Bookends
- Mendeley
- Papers
- EndNote
- RefWorks
- BibTex
- ProCite
- Medlars
Close
Sign In
248
Views
0
Citations
Get Email Alerts
Cited By
Performance and Manufacturing of Silicon-Based Vapor Chambers
Appl. Mech. Rev (January 2021)
Mixed Convection in Pipe and Duct Flows With Strong Magnetic Fields
Appl. Mech. Rev (January 2021)
Bio-Inspired Vibration Isolation: Methodology and Design
Appl. Mech. Rev (March 2021)
Shear Bands in Materials Processing: Understanding the Mechanics of Flow Localization From Zener's Time to the Present
Appl. Mech. Rev (November 2020)
Related Articles
Stress singularities in classical elasticity–I: Removal, interpretation, and analysis
Appl. Mech. Rev (July,2004)
On the Stress Singularities at Multimaterial Interfaces and Related Analogies With Fluid Dynamics and Diffusion
Appl. Mech. Rev (March,2008)
Vibration Characteristics of Simply Supported Thick Skew Plates in Three-Dimensional Setting
J. Appl. Mech (December,1995)
Trefftz Finite Element Method and Its Applications
Appl. Mech. Rev (September,2005)
Related Proceedings Papers
Related Chapters
Generation Expenditure Funcyion of Households after Elimination of Petroleum Subsidy by Slutsky Analysis
International Conference on Computer Technology and Development, 3rd (ICCTD 2011)
Introduction
Ultrasonic Methods for Measurement of Small Motion and Deformation of Biological Tissues for Assessment of Viscoelasticity
Realization of Elasticity and Damping in Vibration Isolators
Passive Vibration Isolation