Citation: Liebold, F.; Wagner, F.;
Giese, J.; Grzesiak, S.; de Sousa, C.;
Beckmann, B.; Pahn, M.; Marx, S.;
Curbach, M.; Maas, H.-G. Damage
Analysis and Quality Control of
Carbon-Reinforced Concrete Beams
Based on In Situ Computed
Tomography Tests. Buildings 2023, 13,
2669. https://doi.org/10.3390/
buildings13102669
Academic Editor: Rajai Zuheir
Al-Rousan
Received: 4 September 2023
Revised: 26 September 2023
Accepted: 12 October 2023
Published: 23 October 2023
Copyright: © 2023 by the authors.
Licensee MDPI, Basel, Switzerland.
This article is an open access article
distributed under the terms and
conditions of the Creative Commons
Attribution (CC BY) license (https://
creativecommons.org/licenses/by/
4.0/).
buildings
Article
Damage Analysis and Quality Control of Carbon-Reinforced
Concrete Beams Based on In Situ Computed Tomography Tests
Frank Liebold
1,
*
,†
, Franz Wagner
1,†
, Josiane Giese
2,†
, Szymon Grzesiak
3,†
, Christoph de Sousa
3,†
,
Birgit Beckmann
2
, Matthias Pahn
3
, Steffen Marx
2
, Manfred Curbach
2
and Hans-Gerd Maas
1
1
Institute of Photogrammetry and Remote Sensing, TUD Dresden University of Technology,
01062 Dresden, Germany; franz.wagner@tu-dresden.de (F.W.); hans-gerd.maas@tu-dresden.de (H.-G.M.)
2
Institute of Concrete Structures, TUD Dresden University of Technology, 01062 Dresden, Germany;
josiane.giese@tu-dresden.de (J.G.); birgit.beckmann@tu-dresden.de (B.B.);
steffen.marx1@tu-dresden.de (S.M.); manfred.curbach@tu-dresden.de (M.C.)
3
Department of Civil Engineering, RPTU Kaiserslautern-Landau, 67663 Kaiserslautern, Germany;
szymon.grzesiak@rptu.de (S.G.); christoph.desousa@rptu.de (C.d.S.); matthias.pahn@rptu.de (M.P.)
* Correspondence: frank.liebold@tu-dresden.de
†
These authors contributed equally to this work.
Abstract: Carbon-reinforced concrete (CRC) is increasingly utilized in construction, due to its unique
properties, such as corrosion resistance, high-tensile strength, and durability. Understanding its
behavior under different loads is crucial to ensuring its safe and effective use in various construction
applications. In this study, three-point bending tests were performed in combination with large-scale
in situ computed tomography (CT). This paper presents the related three- and four-dimensional
evaluation methods, with emphasis on crack width and quality control. The focus was on large CRC
beams, with cross-sectional sizes of up to 80 mm by 160 mm. Such dimensions require extremely high
energy during a CT scan. Therefore, a new experimental setup with energies of up to 8 MeV was used
in this study. However, such high energies posed new challenges to the analysis methods. Therefore,
two methods (digital volume correlation and grayscale profile analysis) for accurate crack width
estimation were adapted and applied to the 3D reconstructions. In addition, a photogrammetric
stereo image sequence was acquired and analyzed, using digital image correlation to cross-validate
the results derived from the 3D crack width estimates. The 3D CT images also played a key role in the
quality control measures, including the localization of the carbon-reinforcement and the assessment
of porosity within the concrete structure.
Keywords: crack analysis; X-ray tomography; photogrammetry; digital image correlation (DIC);
digital volume correlation (DVC); 3D segmentation
1. Introduction
Concrete is currently the most important material for both residential and infrastruc-
ture construction. This versatile material has undergone a transformative evolution with
the introduction of carbon-reinforced concrete (CRC), which is a composite material of
fine-grained concrete and carbon reinforcement. As a result, it is resistant to corrosion—a
key feature that has far-reaching implications for structural design.
The corrosion resistance provides a profound advantage, by allowing the concrete
cover to be reduced to a minimum, since it results only from the bond requirements. In
contrast to steel-reinforced concrete, the condition for compliance with durability can be
omitted [1]. This feature alone transforms the possibilities of construction, allowing the
creation of delicate, thin-walled members and structures, whether flat or curved. This
innovation not only enhances the aesthetic potential of construction, but also takes a giant
leap towards material conservation, which is instrumental in sustainable design strategies.
Buildings 2023, 13, 2669. https://doi.org/10.3390/buildings13102669 https://www.mdpi.com/journal/buildings