High resolution digital image correlation using proper generalized decomposition: PGD-DIC

作者：Passieux J C^*; Perie J N

来源：International Journal for Numerical Methods in Engineering, 2012, 92(6): 531-550.

DOI：10.1002/nme.4349

• FE-based DIC
• full field measurement
• model order reduction
• PGD
• separation of variables

A new method is proposed to measure the finite element (FE) displacement field from a deformed image in comparison with a reference one. In opposition to standard FE approaches, the unknown displacement is sought as a sum of products of separated dimension functions. With the problems in each dimension being uncoupled, the method involves only one-dimensional meshes and one-dimensional problems. An algorithm that builds successive best rank-one approximations is proposed and integrated into the nonlinear iterations of the correlation problem. Although the method can be applied to spaces of any dimension, this paper focuses on two-dimensional images. Many synthetic examples are provided to evaluate the performance of the method. In addition, it is shown that, even with this separated representation, the introduction of a regularization operator is convenient. The latter makes it possible to perform a pixel-wise measure with huge computational savings.

• 出版日期2012-11-9