TY - JOUR
ID - 514471
TI - An Analytical Solution for Inverse Determination of Residual Stress Field
JO - Journal of Solid Mechanics
JA - JSM
LA - en
SN - 2008-3505
AU - Faghidian, S.A
AU - Farrahi, G.H
AU - Smith, D.J
AD - Department of Mechanical and Aerospace Engineering, Science and Research Branch, Islamic Azad University
AD - School of Mechanical Engineering, Sharif University of Technology
AD - Department of Mechanical Engineering, University of Bristol
Y1 - 2012
PY - 2012
VL - 4
IS - 2
SP - 114
EP - 127
KW - Residual stress
KW - Incomplete discrete data
KW - Inverse problems
KW - Approximation theory
KW - Convex polygon domain
DO -
N2 - An analytical solution is presented that reconstructs residual stress field from limited and incomplete data. The inverse problem of reconstructing residual stresses is solved using an appropriate form of the airy stress function. This function is chosen to satisfy the stress equilibrium equations together with the boundary conditions for a domain within a convex polygon. The analytical solution is demonstrated by developing a reference solution from which selected “measurement” points are used. An artificial error is then randomly added to “measurement” points for studying the stability of the reconstruction method utilizing Tikhonov-Morozov regularization technique. It is found that there is an excellent agreement between the model prediction and limited set of residual stress data in the sense of least-square approximation.
UR - http://jsm.iau-arak.ac.ir/article_514471.html
L1 - http://jsm.iau-arak.ac.ir/article_514471_9d7d9b9e247563c7080261461794184e.pdf
ER -