Stress Concentrations by Notches in Cosine Residual Stress Fields.

On the computation of stress fields on polygonal domains with V-notches

The interior stress problem is solved numerically for a single edge notched specimen under uniaxial load. The algorithm is based on a modification of a Fredholm second kind integral equation with compact operators due to Muskhelishvili. Several singular basis functions for each of the seven corners in the geometry enable high uniform resolution of the stress field with a modest number of discre...

Residual Stress Fields due to Static and Dynamic Indentation

Many problems in material mechanics have eluded full understanding due to an inability to characterize local strain fields with sufficient resolution. For crystalline materials, very highresolution x-ray diffraction possible in a parallel beam geometry at a synchrotron source offers a solution as demonstrated by our preliminary work on beamline 2-1 as well as the work of others (see, for exampl...

RIETVELD based energy-dispersive residual stress evaluation: Analysis of complex stress fields σij(z)

Measuring of Residual Stress in TIG Welding of the 304 Stainless Steel by Ultrasonic Method

In this research, the effect of different welding parameters on residual stress and microstructure of the weld region, as well as the comparison of two methods of measuring residual stress using critical fracture longitudinal wave method and preformation method have been investigated. For this purpose, the taguchi DOE methodology is used as a statistical method to optimize four parameters of pu...

Least squares weighted residual method for finding the elastic stress fields in rectangular plates under uniaxial parabolically distributed edge loads

In this work, the least squares weighted residual method is used to solve the two-dimensional (2D) elasticity problem of a rectangular plate of in-plane dimensions 2a 2b subjected to parabolic edge tensile loads applied at the two edges x = a. The problem is expressed using Beltrami–Michell stress formulation. Airy’s stress function method is applied to the stress compatibility equation, and th...