Title

An inverse method for the determination of full field stresses from experimentally measured normal strains

Authors

Authors

T. J. Yu; B. V. Sankar; N. K. Arakere;R. Vaidyanathan

Comments

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Abbreviated Journal Title

J. Strain Anal. Eng. Des.

Keywords

neutron diffraction; inverse problem; finite difference method; least; square approximation; Engineering, Mechanical; Mechanics; Materials Science, Characterization; & Testing

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.

Journal Title

Journal of Strain Analysis for Engineering Design

Volume

42

Issue/Number

6

Publication Date

1-1-2007

Document Type

Article

Language

English

First Page

469

Last Page

476

WOS Identifier

WOS:000249464100005

ISSN

0309-3247

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