TY - JOUR
T1 - Anisotropic linear elastic parameter estimation using error in the constitutive equation functional
JF - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science
M3 - 10.1098/rspa.2016.0213
VL - 472
IS - 2192
AU - Guchhait, Shyamal
AU - Banerjee, Biswanath
Y1 - 2016/08/01
UR - http://rspa.royalsocietypublishing.org/content/472/2192/20160213.abstract
N2 - A modified error in the constitutive equation-based approach for identification of heterogeneous and linear anisotropic elastic parameters involving static measurements is proposed and explored. Following an alternating minimization procedure associated with the underlying optimization problem, the new strategy results in an explicit material parameter update formula for general anisotropic material. This immediately allows us to derive the necessary constraints on measured data and thus restrictions on physical experimentation to achieve the desired reconstruction. We consider a few common materials to derive such conditions. Then, we exploit the invariant relationships of the anisotropic constitutive tensor to propose an identification procedure for space-dependent material orientations. Finally, we assess the numerical efficacy of the developed tools against a few parameter identification problems of engineering interest.
ER -