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 -