TY - JOUR
T1 - Non-linear least-squares solution to the moiré hole method problem in orthotropic materials. Part I
T2 - Residual stresses
AU - Cárdenas-García, J. F.
AU - Ekwaro-Osire, S.
AU - Berg, J. M.
AU - Wilson, W. H.
PY - 2005/8
Y1 - 2005/8
N2 - The hole method problem relates to two inverse problems of interest: the first, most commonly addressed by practitioners, is to obtain residual stresses; the other, generally neglected, inverse problem can be posed as either a stress separation problem or a material elastic properties identification problem. In both this Paper I and Paper II, we pose and solve this dual hole method problem in an orthotropic plate, using computer generated moiré isothetics, by means of a non-linear least-squares approach. In Paper I we address the residual stress problem. In Paper II we pose the use of moiré isothetics as a means to achieve separation of stresses, but we deal with the determination of the five orthotropic elastic constants, four of which are independent.
AB - The hole method problem relates to two inverse problems of interest: the first, most commonly addressed by practitioners, is to obtain residual stresses; the other, generally neglected, inverse problem can be posed as either a stress separation problem or a material elastic properties identification problem. In both this Paper I and Paper II, we pose and solve this dual hole method problem in an orthotropic plate, using computer generated moiré isothetics, by means of a non-linear least-squares approach. In Paper I we address the residual stress problem. In Paper II we pose the use of moiré isothetics as a means to achieve separation of stresses, but we deal with the determination of the five orthotropic elastic constants, four of which are independent.
KW - Inverse problem
KW - Least-squares
KW - Moiré
KW - Orthotropic
KW - Residual stresses
UR - http://www.scopus.com/inward/record.url?scp=24144472356&partnerID=8YFLogxK
U2 - 10.1177/0014485105056080
DO - 10.1177/0014485105056080
M3 - Article
AN - SCOPUS:24144472356
SN - 0014-4851
VL - 45
SP - 301
EP - 313
JO - Experimental Mechanics
JF - Experimental Mechanics
IS - 4
ER -