Numerical simulation of pressure-driven adhesive penetration into realistic wood structures
The material point method (MPM) was used to numerically model pressure-driven flow of adhesive into hybrid poplar wood. The cellular structure of the hybrid poplar was discretized in an MPM model by converting X-ray computed tomography (XCT) voxels from 3D scans of actual wood–adhesive bond lines into material points in the model. In the MPM model, a slab of adhesive between two wood adherends was forced into the modeled wood structure. The wood material was modeled as a rigid material and the adhesive as a compressible, non-Newtonian fluid. MPM is well suited for these simulations because it can handle the large deformation of the adhesive fluid as well as adhesive–wood contact. The MPM fluid model with contact was verified by 2D simulations of a geometry with a known analytical solution using the same parameters and resolution as the full 3D simulations. Multiple 3D simulations were run, and the modeled adhesive penetration at the end of the simulations was compared to experimental penetration observations in the source XCT data. The simulation results correlated well with experimental results.
Financial support was provided by the Wood-Based Composites Center, a National Science Foundation Industry/University Cooperative Research Center (Award 1624599-IIP).
- Bardenhagen S, Guilkey JE, Roessig K, Brackbill J, Witzel W, Foster J (2001) An improved contact algorithm for the material point method and application to stress propagation in granular material. CMES Comput Model Eng Sci 2(4):509–522Google Scholar
- Bardenhagen SG, Kober EM (2004) The generalized interpolation material point method. Comput Model Eng Sci 5:477–496Google Scholar
- Graf J (2016) PID control fundamentals. Createspace Independent Publishing Platform. https://books.google.com/books?id=kMoEvgAACAAJ. Accessed Sept 2017
- Hu P, Xue L, Mao S, Kamakoti R, Zhao H, Dittakavi N, Ni K, Wang Z, Li Q (2010) Material point method applied to fluid–structure interaction (FSI)/aeroelasticity problems. In: 48th AIAA aerospace sciences meeting including the new horizons forum and aerospace exposition, Orlando Florida. American Institute of Aeronautics and AstronauticsGoogle Scholar
- Nairn JA (2006) Numerical simulations of transverse compression and densification in wood. Wood Fiber Sci 38:576–591Google Scholar
- Nairn J (2013) Modeling imperfect interfaces in the material point method using multimaterial methods. Comput Model Eng Sci 1(1):1–15Google Scholar
- Nairn JA (2016) Material point method (NairnMPM) and finite element analysis (NairnFEA) open-source software. http://osupdocs.forestry.oregonstate.edu/index.php/Main_Page. Accessed Sept 2017
- Paris JL, Kamke FA, Nairn J, Muszyński L, Schwarzkopf M (2013) Wood–adhesive penetration: non-destructive, 3d visualization and quantification. In: Frihart CR (ed) Proceedings of the international conference on wood adhesives, Toronto, ON. Forest Products SocietyGoogle Scholar
- R Core Team (2016) R: a language and environment for statistical computing. R Foundation for Statistical Computing, Vienna, Austria. https://www.R-project.org/. Accessed Sept 2017
- Raymond S, Aimene Y, Nairn J, Ouenes A, et al (2015) Coupled fluid–solid geomechanical modeling of multiple hydraulic fractures interacting with natural fractures and the resulting proppant distribution. In: SPE/CSUR unconventional resources conference, Society of Petroleum EngineersGoogle Scholar
- Ross RJ, USDA Forest Service FPL (2010) Wood handbook: wood as an engineering material. USDA Forest Service, Forest Products Laboratory, General Technical Report FPL- GTR-190. https://books.google.com/books?id=v0whAAAAMAAJ. Accessed Sept 2017
- Wilkes J (2006) Fluid mechanics for chemical engineers with microfluidics and CFD. Prentice Hall International Se, Prentice Hall Professional Technical ReferenceGoogle Scholar