Hostname: page-component-78c5997874-s2hrs Total loading time: 0 Render date: 2024-11-13T05:42:25.663Z Has data issue: false hasContentIssue false

Equivalent and Simplification of Nickel-Based Superalloy Plates with Close-Packed Film Cooling Holes

Published online by Cambridge University Press:  28 August 2018

Y. M. Zhang
Affiliation:
School Mechanics Civil Engineering and Architecture Northwestern Polytechnical University Xi’an, China
Z. X. Wen*
Affiliation:
School Mechanics Civil Engineering and Architecture Northwestern Polytechnical University Xi’an, China
H. Q. Pei
Affiliation:
School Mechanics Civil Engineering and Architecture Northwestern Polytechnical University Xi’an, China
W. Y. Gan
Affiliation:
School Mechanics Civil Engineering and Architecture Northwestern Polytechnical University Xi’an, China
Z. F. Yue
Affiliation:
School Mechanics Civil Engineering and Architecture Northwestern Polytechnical University Xi’an, China
*
*Corresponding author (zxwen@nwpu.edu.cn.)
Get access

Abstract

The mechanical properties of thin-walled plate with close-packed film cooling holes are studied based on the equivalent solid material concept. The equivalent principals of the method of equivalent strain energy, homogenization theory and uniform static deformation are considered. A simplification method of square penetration pattern for pitch and diagonal direction loading is presented. The goodness of fit is calculated to determine the optimal method. The tensile deformation, bending deflection, rotation displacement and maximum Mises equivalent stress of simplification plate models are in good agreement with plate models with close-packed film cooling holes. For square penetration pattern for pitch direction loading, the equivalent errors of Mises equivalent stress are all less than 10% when the ligament efficiency is more than 0.6.

Type
Research Article
Copyright
© The Society of Theoretical and Applied Mechanics 2018 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Wen, Z. X., Zhang, D. X., Li, S. W., Yue, Z. F. and Gao, J. Y., “Anisotropic Creep Damage and Fracture Mechanism of Nickel-Base Single Crystal Superal-loy under Multiaxial Stress,” Journal of Alloys and Compounds, 692, pp. 301312 (2017).Google Scholar
Zhu, Z., Basoalto, H., Warnken, N. and Reed, R. C., “A Model for the Creep Deformation Behaviour of Nickel-Based Single Crystal Superalloys,” Acta Materialia, 60, pp. 48884900 (2012).Google Scholar
Jiao, Z., Fu, S., Kawakubo, T., Ohuchida, S. and Tamaki, H., “Analysis of a Rotating Disk System with Axial Cooling Air,” Journal of Mechanics, pp. 113 (2017).Google Scholar
Wen, Z. X., Pei, H. Q., Yang, H., Wu, Y. W. and Yue, Z. F., “A Combined CP Theory and TCD for Predicting Fatigue Lifetime in Single-Crystal Super-alloy Plates with Film Cooling Holes,” International Journal of Fatigue (2018).Google Scholar
Wen, Z. X., Li, Z. W., Zhang, Y. M., Wen, S. F. and Yue, Z. F., “Surface Slip Deformation Characteristics for Perforated Ni-Based Single Crystal Thin Plates with Square and Triangular Penetration Patterns,” Materials Science & Engineering A, 723, pp. 5669 (2018).Google Scholar
Pei, H. Q., Wen, Z. X. and Yue, Z. F., “Long-Term Oxidation Behavior and Mechanism of DD6 Ni-Based Single Crystal Superalloy at 1050°C and 1100°C in Air,” Journal of Alloys and Compounds, 704, pp. 218226 (2017).Google Scholar
Hassani, B. and Hinton, E., “A Review of Homoge-nization and Topology Optimization I-Homogenization Theory for Media with Periodic Structure,” Computers & Structures, 69, pp. 707717 (1998).Google Scholar
Hassani, B. and Hinton, E., “A Review of Homoge-nization and Topology Optimization II-Analytical and Numerical Solution of Homogenization Equations,” Computers & Structures, 69, pp. 719738 (1998).Google Scholar
Zhang, W., Dai, G., Wang, F., Sun, S. and Bassir, H., “Using Strain Energy-Based Prediction of Effective Elastic Properties in Topology Optimization of Material Microstructures,” Chinese Journal of Theoretical and Applied Mechanics, 23, pp. 7789 (2007).Google Scholar
Dai, G. and Zhang, W. H., “Size Effects of Effective Young’s Modulus for Periodic Cellular Materials,”Science in China, 52, pp. 12621270 (2009).Google Scholar
Webb, D. C., Kormi, K. amd AL-Hassani, S. T. S., “Use of FEM in Performance Assessment of Perforated Plates Subject to General Loading Conditions,” International Journal of Pressure Vessels and Piping, 64, pp. 137152 (1995).Google Scholar
O’Donnell, W. J., “Effective Elastic Constants for the Bending of Thin Perforated Plates with Triangular and Square Penetration Patterns,” Journal of Engineering for Industry, 95, pp. 121128 (1973).Google Scholar
Gibson, L. J. and Ashby, M. F., “Cellular Solids: Structure and Properties,” Cambridge University Press, 33, pp. 487488 (2014).Google Scholar
Gibson, L. J., Ashby, M. F. and Schajer, G. S., “The Mechanics of Two-Dimensional Cellular Materials,” Proceedings of the Royal Society of London, 382, pp. 2542 (1982).Google Scholar
Gibson, L. J., “Modelling the Mechanical Behavior of Cellular Materials,” Materials Science and Engineering A, 110A, pp. 136 (1989).Google Scholar
Timoshenko, S. P. and Goodier, J. N., Theory of Elasticity, 3rd Edition, McGraw-Hill Book Company, New York (1970).Google Scholar
Sanchez-Palencia, E., “Comportements Local et Macroscopique d’un Type de Milieux Physiques Heterogenes,” International Journal of Engineering Science, 12, pp. 331351 (1974).Google Scholar
Bensoussan, A., Lions, J. L. and Papanicolaou, G., “Asymptotic Analysis for Periodic Structures,” Encyclopedia of Mathematics & Its Applications, 20, pp. 307309 (1991).Google Scholar
Bakhvalov, N. and Panasenko, G., “Mathematics of Boundary-Layer Theory in Composite Materials,” Homogenisation: Averaging Processes in Periodic Media Springer Netherlands, pp. 312345 (1989).Google Scholar
Bendsøe, M. P. and Kikuchi, N., “Generating Optimal Topologies in Structural Design Using a Homoge-nization Method,” Computer Methods in Applied Mechanics and Engineering, 71, pp. 197224 (1988).Google Scholar
Zhuang, X., Wang, Q. and Zhu, H., “A 3D Computational Homogenization Model for Porous Material and Parameters Identification,” Computational Materials Science, 96, pp. 536548 (2015).Google Scholar
Mercier, S., Molinari, A., Berbenni, S. and Berveiller, M., “Comparison of Different Homogenization Approaches for Elastic-Viscoplastic Materials,” Modelling and Simulation in Materials Science and Engineering, 20, pp. 373379 (2012).Google Scholar
Miehe, C., “Strain-Driven Homogenization of Inelastic Microstructures and Composites Based on An Incremental Variational Formulation,” International Journal for Numerical Methods in Engineering, 55, pp. 12851322 (2002).Google Scholar
Myers, K., Juhasz, M., Cortes, P. and Conner, B., “Mechanical Modeling Based on Numerical Ho-mogenization of An Al2O3/Al Composite Manufactured via Binder Jet Printing,” Computational Materials Science, 108, pp. 128135 (2015).Google Scholar
Liu, Q., “The Application of Elastic Modulus of Steel Fiber Reinforced Concrete by Homogenization Method,” M. S. Thesis, College of Civil Engineering and Mechanics, Xiangtan University, Hunan, China (2014).Google Scholar
Slot, T., “Theoretical and Experimental Analysis of a Thermal Stress Problem in Tube-Sheet Design,” Proceedings First International Conference on Pressure Vessel Technology, Delft, New York (1969).Google Scholar
Hu, Z., Lu, W., Thouless, M. D. and Barber, J. R., ”Simulation of Wear Evolution Using Fictitious Eigenstrains,” Tribology International, 82, pp. 191194 (2015).Google Scholar
Zhang, S. Q., “Approach on the Fitting Optimization Index of Curve Regression,” Chinese Journal of Health Statistics, 19, pp. 911 (2002).Google Scholar