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

    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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