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

Socpus ID

34548106724 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/34548106724

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