Pub Date : 2025-02-15DOI: 10.1007/s11340-025-01157-2
A. Haghighi, N. Soltani, H. Asemani
Background
The accuracy of Digital Image Correlation is considerably influenced by the quality of images taken from the specimen surface. While previous have examined the impact of camera parameters on DIC results, the relationship between camera characteristics and DIC errors remains unclear.
Objective
In this study, a new theoretical model is introduced to estimate the DIC errors sourced from the camera.
Methods
The model is derived from the EMVA 1288 standard and contains camera gain, bit depth, and noise error. To validate the model, its results were compared with the real errors calculated from DIC results, and to determine the accurate error, various noise and gains effects were applied to digital images and then displacement and strain were numerically applied to these manipulated images and original images. The error calculated from the DIC successfully matched the error estimated by the model, proving the applicability of the models.
Results
The individual effects of noise, camera gain, and bit depth are analyzed separately, exploring their respective influences on the DIC. Subsequently, a simple formula is proposed to express camera performance in DIC.
Conclusions
Results showed that the DIC accuracy is considerably influenced by the camera gain, and temporal dark noise has a notable impact on DIC accuracy, particularly in scenarios with low-contrast speckle patterns. However, the influence of bit depth is negligible.
{"title":"Performance Analysis of Digital Camera in DIC: Physical Parameters, Noise, and Bit-Depths","authors":"A. Haghighi, N. Soltani, H. Asemani","doi":"10.1007/s11340-025-01157-2","DOIUrl":"10.1007/s11340-025-01157-2","url":null,"abstract":"<div><h3>Background</h3><p>The accuracy of Digital Image Correlation is considerably influenced by the quality of images taken from the specimen surface. While previous have examined the impact of camera parameters on DIC results, the relationship between camera characteristics and DIC errors remains unclear.</p><h3>Objective</h3><p>In this study, a new theoretical model is introduced to estimate the DIC errors sourced from the camera.</p><h3>Methods</h3><p>The model is derived from the EMVA 1288 standard and contains camera gain, bit depth, and noise error. To validate the model, its results were compared with the real errors calculated from DIC results, and to determine the accurate error, various noise and gains effects were applied to digital images and then displacement and strain were numerically applied to these manipulated images and original images. The error calculated from the DIC successfully matched the error estimated by the model, proving the applicability of the models.</p><h3>Results</h3><p>The individual effects of noise, camera gain, and bit depth are analyzed separately, exploring their respective influences on the DIC. Subsequently, a simple formula is proposed to express camera performance in DIC.</p><h3>Conclusions</h3><p>Results showed that the DIC accuracy is considerably influenced by the camera gain, and temporal dark noise has a notable impact on DIC accuracy, particularly in scenarios with low-contrast speckle patterns. However, the influence of bit depth is negligible.</p></div>","PeriodicalId":552,"journal":{"name":"Experimental Mechanics","volume":"65 5","pages":"653 - 666"},"PeriodicalIF":2.0,"publicationDate":"2025-02-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144073923","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-02-12DOI: 10.1007/s11340-025-01155-4
M. Hofmann, M. Greiner, M. Klein, M. Oechsner, C. Mittelstedt
Background
Additive Manufacturing offers the opportunity to build lattice structures with benefits in manufacturing efficiency and weight. For the determination of the fatigue properties of lattice structures, it lacks a method to determine the deformation under mechanic stress.
Objective
A digital image correlation (DIC) algorithm was implemented. The algorithm determines strains within a subset in an uncommon way by physically interpreting the subset shape function and does not need neighboring subsets, therefore.
Method
With a monochrome background this shape function-based strain determination is able to determine the deformation of a whole lattice unit cell, even if the background is visible in sectors of the subset. The implementation is validated by comparing the results in quasi-static tests on bulk material specimens to the results tactile sensors and a conventional DIC program. Then the deformation of lattice unit cells in fatigue tests is evaluated.
Results
The shape function-based strain determination performs well in quasi-static tests even for large deformations. The deformation of lattice unit cells is determined successfully, whereby conventional DIC algorithms can be challenged if the lattice’s strut diameter becomes close to the image resolution. The determined strains are appropriate for lifetime prediction and fractures can be detected.
Conclusion
The shape function-based strain determination is a suitable tool for determination of large local strains as well as strains in lattice structures, which do partially not cover the background in the whole region of interest due to periodic empty spaces between the lattice struts. For determination of strain fields, conventional DIC algorithms will still be more efficient in this state of development.
{"title":"Shape Function-Based Strain Determination in DIC for Solids and Lattice Structures","authors":"M. Hofmann, M. Greiner, M. Klein, M. Oechsner, C. Mittelstedt","doi":"10.1007/s11340-025-01155-4","DOIUrl":"10.1007/s11340-025-01155-4","url":null,"abstract":"<div><h3>Background</h3><p>Additive Manufacturing offers the opportunity to build lattice structures with benefits in manufacturing efficiency and weight. For the determination of the fatigue properties of lattice structures, it lacks a method to determine the deformation under mechanic stress.</p><h3>Objective</h3><p>A digital image correlation (DIC) algorithm was implemented. The algorithm determines strains within a subset in an uncommon way by physically interpreting the subset shape function and does not need neighboring subsets, therefore.</p><h3>Method</h3><p>With a monochrome background this shape function-based strain determination is able to determine the deformation of a whole lattice unit cell, even if the background is visible in sectors of the subset. The implementation is validated by comparing the results in quasi-static tests on bulk material specimens to the results tactile sensors and a conventional DIC program. Then the deformation of lattice unit cells in fatigue tests is evaluated.</p><h3>Results</h3><p>The shape function-based strain determination performs well in quasi-static tests even for large deformations. The deformation of lattice unit cells is determined successfully, whereby conventional DIC algorithms can be challenged if the lattice’s strut diameter becomes close to the image resolution. The determined strains are appropriate for lifetime prediction and fractures can be detected.</p><h3>Conclusion</h3><p>The shape function-based strain determination is a suitable tool for determination of large local strains as well as strains in lattice structures, which do partially not cover the background in the whole region of interest due to periodic empty spaces between the lattice struts. For determination of strain fields, conventional DIC algorithms will still be more efficient in this state of development.</p></div>","PeriodicalId":552,"journal":{"name":"Experimental Mechanics","volume":"65 5","pages":"637 - 652"},"PeriodicalIF":2.0,"publicationDate":"2025-02-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11340-025-01155-4.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144073587","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-02-11DOI: 10.1007/s11340-025-01154-5
L. Zhang, J. Hu, H. Liu, D. Liu
Background
The characterization of the moment–curvature relationship for thin components within the elastic–plastic regime yields crucial insights not readily ascertainable through conventional tensile testing. However, most conventional bending testers only measure the force–displacement data of specimens without providing the bending moment and curvature information directly.
Objective
We aim to develop a pure-bending tester based on the cochleoid theory that can directly measure the bending moment–curvature response of thin components.
Methods
The bending moment is determined by employing a flexural pivot with a known spring constant paired with dual laser displacement sensors. By approximating the cochleoid as an eccentric arc trajectory, we move and rotate one end of the specimen to increase the curvature gradually. Finally, the moment–curvature relationship of the specimens can be obtained.
Results
The practical capability of the bending tester is demonstrated by measuring moment–curvature data from various specimens, including PET sheets, aluminum sheets, and Nylon 6 monofilaments. Cyclic bending and relaxation tests are performed on these typical specimens. The measurement results agree well with the theoretical predictions.
Conclusions
The instrument serves as a valuable tool for characterizing the bending properties of diverse small-scale components. Its versatility facilitates comprehensive assessments of the bending behavior of various materials and structures.
{"title":"Development of a New Pure Bending Tester for Small-Scale Specimens","authors":"L. Zhang, J. Hu, H. Liu, D. Liu","doi":"10.1007/s11340-025-01154-5","DOIUrl":"10.1007/s11340-025-01154-5","url":null,"abstract":"<div><h3>Background</h3><p>The characterization of the moment–curvature relationship for thin components within the elastic–plastic regime yields crucial insights not readily ascertainable through conventional tensile testing. However, most conventional bending testers only measure the force–displacement data of specimens without providing the bending moment and curvature information directly.</p><h3>Objective</h3><p>We aim to develop a pure-bending tester based on the cochleoid theory that can directly measure the bending moment–curvature response of thin components.</p><h3>Methods</h3><p>The bending moment is determined by employing a flexural pivot with a known spring constant paired with dual laser displacement sensors. By approximating the cochleoid as an eccentric arc trajectory, we move and rotate one end of the specimen to increase the curvature gradually. Finally, the moment–curvature relationship of the specimens can be obtained.</p><h3>Results</h3><p>The practical capability of the bending tester is demonstrated by measuring moment–curvature data from various specimens, including PET sheets, aluminum sheets, and Nylon 6 monofilaments. Cyclic bending and relaxation tests are performed on these typical specimens. The measurement results agree well with the theoretical predictions.</p><h3>Conclusions</h3><p>The instrument serves as a valuable tool for characterizing the bending properties of diverse small-scale components. Its versatility facilitates comprehensive assessments of the bending behavior of various materials and structures.</p></div>","PeriodicalId":552,"journal":{"name":"Experimental Mechanics","volume":"65 5","pages":"625 - 636"},"PeriodicalIF":2.0,"publicationDate":"2025-02-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144073682","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-02-10DOI: 10.1007/s11340-025-01153-6
E. D. A. John, J. B. Boxall, R. P. Collins, E. T. Bowman, L. Susmel
Background
Investigations into the fatigue failures mechanism of Grey Cast Iron (GCI) water pipes are inhibited by the lack of a lab-based method to conduct extensive high-cycle biaxial fatigue test programmes.
Objective
The work presented in this paper developed and tested a novel experiment capable of causing controlled fatigue failures of GCI pipe specimens in the high-cycle fatigue regime using bending and internal water pressure fatigue loading.
Methods
A novel four-point bending and internal water pressure fatigue testing system was developed to apply constant amplitude out-of-phase biaxial loading to 58 mm diameter GCI pipes at 1.7 Hz. To verify the ability of this equipment to apply known stresses and repeatable loads to pipe specimens a series of tests were conducted. A finite element model of the pipe specimen was used to estimate the strains and displacements applied by the equipment.
Results
Experimental strains and displacements were mainly within ± 10% of the estimated values and the pressure amplitudes measured over 103 cycles were within ± 3% of the average. Dynamic load effects occurred at higher bending loads, but these were quantified and accounted for. Trial destructive tests revealed that the lifespan of leaking fatigue cracks in GCI pipes with uniform wall-loss subject to combined internal pressure and bending fatigue loads is less than 1% of the total cycles-to-burst.
Conclusions
The experimental method developed was able to apply combined, out-of-phase internal pressure and bending fatigue loads accurately and consistently to small-dimeter GCI pipes, and cause these pipes to develop high-cycle fatigue regime failures.
{"title":"An Experimental Method for Fatigue Testing Cast Iron Water Pipes Using Combined Internal Water Pressure and Bending Loads","authors":"E. D. A. John, J. B. Boxall, R. P. Collins, E. T. Bowman, L. Susmel","doi":"10.1007/s11340-025-01153-6","DOIUrl":"10.1007/s11340-025-01153-6","url":null,"abstract":"<div><h3>Background</h3><p>Investigations into the fatigue failures mechanism of Grey Cast Iron (GCI) water pipes are inhibited by the lack of a lab-based method to conduct extensive high-cycle biaxial fatigue test programmes.</p><h3>Objective</h3><p>The work presented in this paper developed and tested a novel experiment capable of causing controlled fatigue failures of GCI pipe specimens in the high-cycle fatigue regime using bending and internal water pressure fatigue loading.</p><h3>Methods</h3><p>A novel four-point bending and internal water pressure fatigue testing system was developed to apply constant amplitude out-of-phase biaxial loading to 58 mm diameter GCI pipes at 1.7 Hz. To verify the ability of this equipment to apply known stresses and repeatable loads to pipe specimens a series of tests were conducted. A finite element model of the pipe specimen was used to estimate the strains and displacements applied by the equipment.</p><h3>Results</h3><p>Experimental strains and displacements were mainly within ± 10% of the estimated values and the pressure amplitudes measured over 10<sup>3</sup> cycles were within ± 3% of the average. Dynamic load effects occurred at higher bending loads, but these were quantified and accounted for. Trial destructive tests revealed that the lifespan of leaking fatigue cracks in GCI pipes with uniform wall-loss subject to combined internal pressure and bending fatigue loads is less than 1% of the total cycles-to-burst.</p><h3>Conclusions</h3><p>The experimental method developed was able to apply combined, out-of-phase internal pressure and bending fatigue loads accurately and consistently to small-dimeter GCI pipes, and cause these pipes to develop high-cycle fatigue regime failures.</p></div>","PeriodicalId":552,"journal":{"name":"Experimental Mechanics","volume":"65 5","pages":"605 - 623"},"PeriodicalIF":2.0,"publicationDate":"2025-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11340-025-01153-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144073840","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-02-06DOI: 10.1007/s11340-025-01149-2
B.P. Lawlor, V. Gandhi, G. Ravichandran
Background
Full-field, quantitative visualization techniques, such as digital image correlation (DIC), have unlocked vast opportunities for experimental mechanics. However, DIC has traditionally been a surface measurement technique, and has not been extended to perform measurements on the interior of specimens for dynamic, full-scale laboratory experiments. This limitation restricts the scope of physics which can be investigated through DIC measurements, especially in the context of heterogeneous materials.
Objective
The focus of this study is to develop a method for performing internal DIC measurements in dynamic experiments. The aim is to demonstrate its feasibility and accuracy across a range of stresses (up to (650,)MPa), strain rates ((10^{3})-(10^6,)s(^{-1})), and high-strain rate loading conditions (e.g., ramped and shock wave loading).
Methods
Internal DIC is developed based on the concept of applying a speckle pattern at an inner-plane of a transparent specimen. The high-speed imaging configuration is coupled to the traditional dynamic experimental setups, and is focused on the internal speckle pattern. During the experiment, while the sample deforms dynamically, in-plane, two-dimensional deformations are measured via correlation of the internal speckle pattern. In this study, the viability and accuracy of the internal DIC technique is demonstrated for split-Hopkinson (Kolsky) pressure bar (SHPB) and plate impact experiments.
Results
The internal DIC experimental technique is successfully demonstrated in both the SHPB and plate impact experiments. In the SHPB setting, the accuracy of the technique is excellent throughout the deformation regime, with measurement noise of approximately (0.2%) strain. In the case of plate impact experiments, the technique performs well, with error and measurement noise of (1%) strain.
Conclusion
The internal DIC technique has been developed and demonstrated to work well for full-scale dynamic high-strain rate and shock laboratory experiments, and the accuracy is quantified. The technique can aid in investigating the physics and mechanics of the dynamic behavior of materials, including local deformation fields around dynamically loaded material heterogeneities.
全视野、定量可视化技术,如数字图像相关(DIC),为实验力学打开了巨大的机会。然而,DIC传统上是一种表面测量技术,并没有扩展到在动态的、全尺寸的实验室实验中对标本内部进行测量。这种限制限制了通过DIC测量可以研究的物理范围,特别是在非均质材料的背景下。目的本研究的重点是开发一种在动态实验中进行内部DIC测量的方法。目的是证明其在一系列应力(高达(650,) MPa),应变率((10^{3}) - (10^6,) s (^{-1}))和高应变率加载条件(例如,斜坡和冲击波加载)下的可行性和准确性。方法基于在透明标本的内平面上应用散斑图案的概念,开发了内部DIC。高速成像配置与传统的动态实验设置相耦合,并专注于内部散斑模式。在实验过程中,在样品动态变形的同时,通过内部散斑图的相关测量平面内二维变形。在本研究中,通过split-Hopkinson (Kolsky)压力棒(SHPB)和钢板撞击实验证明了内DIC技术的可行性和准确性。结果内部DIC实验技术在SHPB和平板撞击实验中都得到了成功的验证。在SHPB环境下,该技术在整个变形过程中的精度都很好,测量噪声约为(0.2%)应变。在平板冲击实验中,该技术表现良好,但存在(1%)应变的误差和测量噪声。结论内部DIC技术在全尺寸动态高应变率和冲击实验中具有良好的应用效果,其准确性得到了量化。该技术可以帮助研究材料动态行为的物理和力学,包括动态加载材料异质周围的局部变形场。
{"title":"An Internal Digital Image Correlation Technique for High-Strain Rate Dynamic Experiments","authors":"B.P. Lawlor, V. Gandhi, G. Ravichandran","doi":"10.1007/s11340-025-01149-2","DOIUrl":"10.1007/s11340-025-01149-2","url":null,"abstract":"<div><h3>Background</h3><p>Full-field, quantitative visualization techniques, such as digital image correlation (DIC), have unlocked vast opportunities for experimental mechanics. However, DIC has traditionally been a surface measurement technique, and has not been extended to perform measurements on the interior of specimens for dynamic, full-scale laboratory experiments. This limitation restricts the scope of physics which can be investigated through DIC measurements, especially in the context of heterogeneous materials.</p><h3>Objective</h3><p>The focus of this study is to develop a method for performing internal DIC measurements in dynamic experiments. The aim is to demonstrate its feasibility and accuracy across a range of stresses (up to <span>(650,)</span>MPa), strain rates (<span>(10^{3})</span>-<span>(10^6,)</span>s<span>(^{-1})</span>), and high-strain rate loading conditions (e.g., ramped and shock wave loading).</p><h3>Methods</h3><p>Internal DIC is developed based on the concept of applying a speckle pattern at an inner-plane of a transparent specimen. The high-speed imaging configuration is coupled to the traditional dynamic experimental setups, and is focused on the internal speckle pattern. During the experiment, while the sample deforms dynamically, in-plane, two-dimensional deformations are measured via correlation of the internal speckle pattern. In this study, the viability and accuracy of the internal DIC technique is demonstrated for split-Hopkinson (Kolsky) pressure bar (SHPB) and plate impact experiments.</p><h3>Results</h3><p>The internal DIC experimental technique is successfully demonstrated in both the SHPB and plate impact experiments. In the SHPB setting, the accuracy of the technique is excellent throughout the deformation regime, with measurement noise of approximately <span>(0.2%)</span> strain. In the case of plate impact experiments, the technique performs well, with error and measurement noise of <span>(1%)</span> strain.</p><h3>Conclusion</h3><p>The internal DIC technique has been developed and demonstrated to work well for full-scale dynamic high-strain rate and shock laboratory experiments, and the accuracy is quantified. The technique can aid in investigating the physics and mechanics of the dynamic behavior of materials, including local deformation fields around dynamically loaded material heterogeneities.</p></div>","PeriodicalId":552,"journal":{"name":"Experimental Mechanics","volume":"65 3","pages":"407 - 419"},"PeriodicalIF":2.0,"publicationDate":"2025-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143554140","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-02-04DOI: 10.1007/s11340-024-01141-2
E. T. Furton, A. M. Beese
Background
To ensure reliability of additively manufactured components in structural applications, an understanding of the combined behavior of pores and stress state on failure behavior is required.
Objective
This research aims to identify the capabilities and limitations of stress- and strain-based fracture models in describing failure in complex additively manufactured structures.
Methods
SS316L brackets with a three-dimensional truss-based geometry, in which stress state and pore size varied among struts, were fabricated with laser powder bed fusion. Fracture models considering both stress state and pore size, formulated in terms of stress (pore-size dependent Mohr–Coulomb, or P-MC) and strain (pore-size dependent Modified Mohr–Coulomb, or P-MMC), were calibrated and used to predict the fracture behavior of the brackets.
Results
The P-MMC fracture model correctly predicted the experimentally observed fracture locations for 11 out of 12 samples, while the P-MC fracture model correctly predicted 10 out of 12 samples. Below a critical pore size, stress state effects dominated the fracture behavior, and above this, pore size was the critical factor, where capturing both factors was crucial at intermediate pore sizes.
Conclusions
The P-MC fracture model was appropriate for predicting the maximum load-bearing capacity for all samples in this study, while the P-MMC fracture model was shown to be only applicable for samples containing small pores. The importance of incorporating both stress state and the presence of pores in a fracture model is necessary to ensure confidence in the load carrying capacity of additively manufactured structures.