Inverse characterisation of gradient distribution of the modulus of bamboo using a four-point bending test
-
Xianzhi Gao
,
Lu Wang
Abstract
As a natural graded material, bamboo has gradually increasing elastic modulus along the radial direction from the inner to the outer skin. Accurate measurement of the modulus distribution plays an important role in bamboo-based structural design. However, it is difficult to characterise this modulus distribution by using conventional testing approaches on bamboo slices. A more effective method was developed in this study for the inverse identification of gradually varying material properties. The method is based on the digital image correlation and finite element model updating techniques. The radial distribution of the elastic modulus of bamboo was obtained through only one four-point bending test. The inversely identified modulus distribution was verified through uniaxial tensile tests on sliced bamboo strips and microscopic observation of the volume fraction distribution of its vascular bundle. The results showed that the elastic modulus of the bamboo material decreased from the outer skin (20 GPa) to the inner skin (2 GPa), which is in good consistence with the tensile test results on sliced specimens.
Funding source: National Natural Science Foundation of China
Award Identifier / Grant number: 11602022
Award Identifier / Grant number: 11727801
Award Identifier / Grant number: 11772053
Award Identifier / Grant number: 11872115
Award Identifier / Grant number: U1837602
Acknowledgments
The authors wish to acknowledge Prof. Zhengjun Sun from the International Centre for Bamboo and Rattan for his help in providing the bamboo samples for this study.
Author contributions: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.
Research funding: This study was supported by the National Natural Science Foundation of China (grant nos. 11872115, U1837602, 11727801, 11772053 and 11602022).
Conflict of interest statement: The authors declare no conflicts of interest regarding this article.
References
Avril, S., Bonnet, M., Bretelle, A.S., Grédiac, M., Hild, F., Ienny, P., Latourte, F., Lemosse, D., Pagano, S., Pagnacco, E., et al.. (2008). Overview of identification methods of mechanical parameters based on full-field measurements. Exp. Mech. 48: 381, https://doi.org/10.1007/s11340-008-9148-y.Suche in Google Scholar
Belhabib, S., Haddadi, H., Gaspérini, M., and Vacher, P. (2008). Heterogeneous tensile test on elastoplastic metallic sheets: comparison between FEM simulations and full-field strain measurements. Int. J. Mech. Sci. 50: 14–21, https://doi.org/10.1016/j.ijmecsci.2007.05.009.Suche in Google Scholar
Chang, K.H. (2012). Stochastic Nelder–Mead simplex method – a new globally convergent direct search method for simulation optimization. Eur. J. Oper. Res. 220: 684–694, https://doi.org/10.1016/j.ejor.2012.02.028.Suche in Google Scholar
Chen, K. and Long, L.C. (2014). Analysis of the effects of fiber gradient distribution on the mechanical properties of moso bamboo. Appl. Mech. Mater. 590: 13–18, https://doi.org/10.4028/www.scientific.net/AMM.590.13.Suche in Google Scholar
Defoirdt, N., Biswas, S., Vriese, L.D., Acker, J.V., Ahsan, Q., Gorbatikh, L., Vuure, A.V., and Verpoest, I. (2010). Assessment of the tensile properties of coir, bamboo and jute fibre. Compos. Appl. Sci. Manuf. 41: 588–595, https://doi.org/10.1016/j.compositesa.2010.01.005.Suche in Google Scholar
He, T.R., Liu, L., Makeev, A., and Shonkwiler, B. (2016). Characterization of stress–strain behavior of composites using digital image correlation and finite element analysis. Compos. Struct. 140: 84–93, https://doi.org/10.1016/j.compstruct.2015.12.018.Suche in Google Scholar
Huang, Y.H., Fei, B.H., Yan, Y.U., and Zhao, R.J. (2011). Gradient variation of longitudinal mechanical properties and fracture characteristic of moso bamboo. J. Northwest Sci-Tech Univ. Agric. For. (Nat.Sci. Ed.) 39: 217–222.Suche in Google Scholar
Huang, Y.H., Fei, B.H., Wei, P., and Zhao, C. (2016). Mechanical properties of bamboo fiber cell walls during the culm development by nanoindentation. Ind. Crop. Prod. 92: 102–108, https://doi.org/10.1016/j.indcrop.2016.07.037.Suche in Google Scholar
Liu, G.Y., Wang, L., Yi, Y.N., Sun, L.B., Shi, L., Jiang, H., and Ma, S.P. (2018). Inverse identification of tensile and compressive damage properties of graphite material based on a single four-point bending test. J. Nucl. Mater. 509: 445–453, https://doi.org/10.1016/j.jnucmat.2018.07.022.Suche in Google Scholar
Liu, G.Y., Wang, L., Yi, Y.N., Sun, L.B., Shi, L., Jiang, H., and Ma, S.P. (2019). Inverse identification of graphite damage properties under complex stress states. Mater. Des. 183: 108135, https://doi.org/10.1016/j.matdes.2019.108135.Suche in Google Scholar
Lokesha, G., Reddy, M.V., and Reddy, T.Y. (2012). Mechanical design of bamboo by nature. Int. J. Mech. Eng. Res. 2: 99–108.Suche in Google Scholar
Long, L.C., Wang, Z.K., and Chen, K. (2015). Analysis of the hollow structure with functionally gradient materials of moso bamboo. J. Wood Sci. 61: 569–577, https://doi.org/10.1007/s10086-015-1504-9.Suche in Google Scholar
Mei, Y. and Avril, S. (2019). On improving the accuracy of nonhomogeneous shear modulus identification in incompressible elasticity using the virtual fields method. Int. J. Solid Struct. 178: 136–144, https://doi.org/10.1016/j.ijsolstr.2019.06.025.Suche in Google Scholar
Meuwissen, M.H.H., Oomens, C.W.J., Baaijens, F.P.T., Petterson, R., and Janssen, J.D. (1998). Determination of the elasto-plastic properties of aluminium using a mixed numerical–experimental method. J. Mater. Process. Technol. 75: 204–211, https://doi.org/10.1016/s0924-0136(97)00366-x.Suche in Google Scholar
Pagnacco, E., Moreau, A., and Lemosse, D. (2007). Inverse strategies for the identification of elastic and viscoelastic material parameters using full-field measurements. Mater. Sci. Eng. A 452–453: 737–745, https://doi.org/10.1016/j.msea.2006.10.122.Suche in Google Scholar
Pierron, F., Zhavoronok, S., and Grédiac, M. (2000). Identification of the through-thickness properties of thick laminates using the virtual fields method. Int. J. Solid Struct. 37: 4437–4453, https://doi.org/10.1016/s0020-7683(99)00149-3.Suche in Google Scholar
Pierron, F., Zhu, H., and Siviour, C. (2014). Beyond Hopkinson’s bar. Philos Trans A Math Phys Eng Sci 372: 1–24, https://doi.org/10.1098/rsta.2013.0195.Suche in Google Scholar PubMed
Seon, G., Makeev, A., Cline, J., and Shonkwiler, B. (2015). Assessing 3D shear stress-strain properties of composites using digital image correlation and finite element analysis based optimization. Compos. Sci. Technol. 117: 371–378, https://doi.org/10.1016/j.compscitech.2015.07.011.Suche in Google Scholar
Shao, Z.P., Fang, C.H., Huang, S.X., and Tian, G.L. (2010). Tensile properties of moso bamboo (phyllostachys pubescens) and its components with respect to its fiber-reinforced composite structure. Wood Sci. Technol. 44: 655–666, https://doi.org/10.1007/s00226-009-0290-1.Suche in Google Scholar
Wang, P., Pierron, F., and Thomsen, O.T. (2013). Identification of material parameters of PVC foams using digital image correlation and the virtual fields method. Exp. Mech. 53: 1001–1015, https://doi.org/10.1007/s11340-012-9703-4.Suche in Google Scholar
Zhu, H. and Pierron, F. (2016). Exploration of Saint-Venant’s principle in inertial high strain rate testing of materials. Exp. Mech. 56: 3–23, https://doi.org/10.1007/s11340-015-0078-1.Suche in Google Scholar
© 2020 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- Original articles
- Wood identification of two anatomically similar Cupressaceae species based on two-dimensional microfibril angle mapping
- Treatment of wood with atmospheric plasma discharge: study of the treatment process, dynamic wettability and interactions with a waterborne coating
- Impact of hygrothermal treatment on the physical properties and chemical composition of Moso bamboo (Phyllostachys edulis)
- Inverse characterisation of gradient distribution of the modulus of bamboo using a four-point bending test
- Correlation between bacterial decay and chemical changes in waterlogged archaeological wood analysed by light microscopy and Py-GC/MS
- Artificial neural networks modelling based on visual analysis of coated cross laminated timber (CLT) to predict color change during outdoor exposure
- Wood-adhesive bond loaded in mode II: experimental and numerical analysis using elasto-plastic and fracture mechanics models
- Influences of liquefied lignin content on the properties of waterborne polyurethane prepared with different chain extenders
- Composition and antioxidant properties of extracts from Douglas fir bark
Artikel in diesem Heft
- Frontmatter
- Original articles
- Wood identification of two anatomically similar Cupressaceae species based on two-dimensional microfibril angle mapping
- Treatment of wood with atmospheric plasma discharge: study of the treatment process, dynamic wettability and interactions with a waterborne coating
- Impact of hygrothermal treatment on the physical properties and chemical composition of Moso bamboo (Phyllostachys edulis)
- Inverse characterisation of gradient distribution of the modulus of bamboo using a four-point bending test
- Correlation between bacterial decay and chemical changes in waterlogged archaeological wood analysed by light microscopy and Py-GC/MS
- Artificial neural networks modelling based on visual analysis of coated cross laminated timber (CLT) to predict color change during outdoor exposure
- Wood-adhesive bond loaded in mode II: experimental and numerical analysis using elasto-plastic and fracture mechanics models
- Influences of liquefied lignin content on the properties of waterborne polyurethane prepared with different chain extenders
- Composition and antioxidant properties of extracts from Douglas fir bark
