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March 26, 2026PAMM0 citationsOpen Access

Precise Strain Analyses in the Small Deformation Range Using DIC Measurement Data and Approximation‐Based Smoothing

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TLThomas LehmannEPEdgar PeretzkiJIJörn Ihlemann

Key Points

  • This research aims to enhance the measurement of small deformations using digital image correlation and an optimized evaluation algorithm.
  • Utilized digital image correlation (DIC) for measuring small deformations in an aluminum beam.
  • Applied an evaluation algorithm that approximates DIC raw data with B-splines.
  • Conducted a four-point bending test to analyze strain in the elastic range.
  • Compared DIC results to strain gage measurements for assessment of precision and accuracy.
  • The approximation-based method achieved high agreement with strain gage data, confirming its accuracy.
  • Demonstrated an application for analyzing deformation in a borehole environment.
  • Results showed a high degree of precision in the obtained strain fields.

Abstract

ABSTRACT This contribution deals with a method based on DIC (digital image correlation) analyses that allows the measuring range to be extended to smaller deformations by a special evaluation algorithm. Therein, the detected displacements (DIC raw data) are approximated by B‐splines with optimized smoothing. In order to assess the precision and accuracy of the method, it was applied and analyzed in a four‐point bending test with an aluminum beam with small occurring deformations (in the elastic strain range of the metal). The specimen strain in longitudinal direction between the load application sections was analyzed using 3D DIC and strain gage measurements. The results of the approximation‐based method show good agreement with strains obtained by strain gage data used as a reference measurement method. Therefore, good results regarding precision and accuracy of the presented strain determination method are obtained. In addition, an application example for the method—in this case extended to applications with circular boundaries—is presented. It demonstrates the deformation analysis of a borehole environment on a loaded plastic specimen on the basis of 2D DIC data, which can potentially be used in the context of residual stress analyses. The strain fields obtained in this way also exhibit a high degree of precision.

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Cite This Study

Lehmann et al. (2026) studied this question.

synapsesocial.com/papers/69c4cd5afdc3bde448919991https://doi.org/10.1002/pamm.70098
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