Title
An Inverse Method For The Determination Of Full Field Stresses From Experimentally Measured Normal Strains
Keywords
Finite difference method; Inverse problem; Least square approximation; Neutron diffraction
Abstract
Certain diffraction-based techniques that measure strains in bulk samples are limited to determination of normal strains. A numerical inverse method is developed to determine full field stresses from the experimentally determined normal strains in isotropic solids under plane stress conditions. The method is based on satisfying the equations of equilibrium and the constitutive relations. The finite difference method is employed to solve the equations and to determine the complete stress field. Furthermore, a least-squares procedure is used to determine the unknown functions of integration in conjunction with known values of shear stress along a reference line. The method is verified by using the normal strain fields in various specimens obtained using both finite element analysis and exact elasticity solutions. It is found that the proposed method predicts the shear stresses accurately in the examples considered. © IMechE 2007.
Publication Date
8-27-2007
Publication Title
Journal of Strain Analysis for Engineering Design
Volume
42
Issue
6
Number of Pages
469-476
Document Type
Article
Personal Identifier
scopus
DOI Link
https://doi.org/10.1243/03093247JSA222
Copyright Status
Unknown
Socpus ID
34548106724 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/34548106724
STARS Citation
Yu, T. J.; Sankar, B. V.; Arakere, N. K.; and Vaidyanathan, R., "An Inverse Method For The Determination Of Full Field Stresses From Experimentally Measured Normal Strains" (2007). Scopus Export 2000s. 6423.
https://stars.library.ucf.edu/scopus2000/6423