Please wait a minute...
Frontiers of Mechanical Engineering

ISSN 2095-0233

ISSN 2095-0241(Online)

CN 11-5984/TH

Postal Subscription Code 80-975

2018 Impact Factor: 0.989

Front. Mech. Eng.    2015, Vol. 10 Issue (3) : 294-300    https://doi.org/10.1007/s11465-015-0351-0
RESEARCH ARTICLE
Elastic modulus and thermal stress in coating during heat cycling with different substrate shapes
Daniel GAONA1(), Alfredo VALAREZO2
1. Mechanical Engineering, Universidad San Francisco de Quito, Quito, Ecuador
2. Material Science and Engineering, Universidad San Francisco de Quito, Quito, Ecuador
 Download: PDF(1918 KB)   HTML
 Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks
Abstract

The elastic modulus of a deposit (Ed) can be obtained by monitoring the temperature (∆T) and curvature (∆k) of a one-side coated long plate, namely, a one-dimensional (1D) deformation model. The aim of this research is to design an experimental setup that proves whether a 1D deformation model can be scaled for complex geometries. The setup includes a laser displacement sensor mounted on a robotic arm capable of scanning a specimen surface and measuring its deformation. The reproducibility of the results is verified by comparing the present results with Stony Brook University Laboratory’s results. The ∆k-∆T slope error is less than 8%, and the Ed estimation error is close to 2%. These values reveal the repeatability of the experiments. Several samples fabricated with aluminum as the substrate and 100MXC nanowire (Fe and Cr alloy) as the deposit are analyzed and compared with those in finite element (FE) simulations. The linear elastic behavior of 1D (flat long plate) and 2D (squared plate) specimens during heating/cooling cycles is demonstrated by the high linearity of all ∆k-∆T curves (over 97%). The Ed values are approximately equal for 1D and 2D analyses, with a median of 96 GPa and standard deviation of 2 GPa. The correspondence between the experimental and simulated results for the 1D and 2D specimens reveals that deformation and thermal stress in coated specimens can be predicted regardless of specimen geometry through FE modeling and by using the experimental value of Ed. An example of a turbine-blade-shaped substrate is presented to validate the approach.

Keywords in-plane      Young’s modulus      curvature temperature      thermal stress      coating     
Corresponding Author(s): Daniel GAONA   
Online First Date: 08 September 2015    Issue Date: 28 September 2015
 Cite this article:   
Daniel GAONA,Alfredo VALAREZO. Elastic modulus and thermal stress in coating during heat cycling with different substrate shapes[J]. Front. Mech. Eng., 2015, 10(3): 294-300.
 URL:  
https://academic.hep.com.cn/fme/EN/10.1007/s11465-015-0351-0
https://academic.hep.com.cn/fme/EN/Y2015/V10/I3/294
Fig.1  Operation of the experimental setup
Fig.2  Actual implementation of the experimental setup in the Robotics Laboratory of Universidad San Francisco de Quito, Ecuador
ParameterValue
Substrate modulus/GPa193
Substrate Poisson’s coefficient0.3
Substrate CTE/°C−116.6×10−6
Deposit CTE/°C−15.2×10−6
Substrate thickness/mm1.486
Deposit thickness/mm0.313
Length/mm228.000
Width/mm25.400
Tab.1  Mechanical properties and dimensions of the SS316 specimen coated with tungsten cobalt [9]
Fig.3  Curvature vs. temperature experimental data for three heating/cooling cycles for the SS316 specimen coated with tungsten cobalt alloy
Fig.4  Curvature vs. temperature experimental data for the SS316 specimen coated with tungsten cobalt alloy acquired at Stony Brook University and Universidad San Francisco de Quito Laboratories (USFQ)
Sample I thickness/mmSample II thickness/mmLength/mmWidth/mm
P-1D0.200.20270.025.4
P-2D0.300.18128.0128.0
P-3D0.400.40
Tab.2  Mechanical properties and dimensions of specimens of aluminum coated with 100MXC nanowire
Fig.5  Curvature vs. temperature experimental data of the 1D SS316 specimen coated with tungsten cobalt (Specimens I and II)
Fig.6  ABAQUS simulation of the deformation of the 1D specimen subjected to one heating cycle
Fig.7  Stress distribution through-the-thickness in the 1D specimen
Fig.8  Scanning paths over the 2D specimens
Fig.9  Curvature vs. temperature experimental data of the 2D SS316 specimen coated with tungsten cobalt (Specimens I and II)
Fig.10  ABAQUS simulation of the deformation of the 2D specimen subjected to a heating cycle
Fig.11  Stress distribution in the 2D specimen through-the-thickness
Fig.12  Experimental deformation of the 3D specimen (turbocharger blade) at different temperatures
Fig.13  ABAQUS simulation of the deformation of the 3D specimen
Fig.14  ABAQUS simulation of the deformation of the 3D specimen
Fig.15  ABAQUS representation of the principal stress distribution (MPa)
1 G Bolelli, V Cannillo, L Lusvarghi, et al. Functionally graded WC−Co/NiAl HVOF coatings for damage tolerance, wear and corrosion protection. Surface and Coatings Technology, 2012, 206(8–9): 2585–2601
https://doi.org/10.1016/j.surfcoat.2011.11.018
2 J Matejicek, S Sampath. In situ measurement of residual stress and elastic moduli in thermal sprayed coatings: Part 1: Apparatus and analysis. Acta Materialia, 2003, 51(3): 863–872
https://doi.org/10.1016/S1359-6454(02)00478-0
3 J Matejicek, S Sampath, D Gilmore, et al. In situ measurement of residual stress and elastic moduli in thermal sprayed coatings: Part 2: Processing effects on properties of Mo coatings. Acta Materialia, 2003, 51(3): 873–885
https://doi.org/10.1016/S1359-6454(02)00477-9
4 J Zhu, H Xie, Z Hu, et al. Residual stress in thermal spray coatings measured by curvature based on 3D digital image correlation technique. Surface and Coatings Technology, 2011, 206(6): 1396–1402
https://doi.org/10.1016/j.surfcoat.2011.08.062
5 P R Georgieva, A Y Thorpe, A Yanski, et al. Nanocomposite Materials: An innovative turnover for the wire arc spraying technology. Advanced Materials and Processes, 2006, 164(8): 68
6 J R Davis. Handbook of Thermal Spray Technology, 2004
7 F P Beer, E R Johnston. Mechanics of Materials. 7th ed. New York: McGrawHill, 2015
8 A B Kanthal. Thermostatic bimetal handbook 6th ed, 2008
9 R G Budynas, J K Nisbett. Shigley’s Mechanical Engineering Design. 8th ed. Mexico D.F.: McGraw-Hill, 2008, 27–240 (in Spanish)
10 MatWeb. Material properties. 2014
11 F L Stasa, B J Torby. Applied Finite Element Analysis for Engineers. Tokyo: CBS Publishing Japan Ltda, 1986, 185–322
12 J W Eischen, C Chung, J H Kim. Realistic modeling of edge effect stresses in bimaterial elements. Journal of Electronic Packaging, 1990, 112(1): 16–22
[1] Zhenghao ZHANG, Yi HUANG, Shuncong ZHONG, Tingling LIN, Yujie ZHONG, Qiuming ZENG, Walter NSENGIYUMVA, Yingjie YU, Zhike PENG. Time of flight improved thermally grown oxide thickness measurement with terahertz spectroscopy[J]. Front. Mech. Eng., 2022, 17(4): 49-.
[2] Le WANG, Yuelan DI, Ying LIU, Haidou WANG, Haoxing YOU, Tao LIU. Effect of TGO on the tensile failure behavior of thermal barrier coatings[J]. Front. Mech. Eng., 2019, 14(4): 452-460.
[3] Shuncong ZHONG. Progress in terahertz nondestructive testing: A review[J]. Front. Mech. Eng., 2019, 14(3): 273-281.
[4] Biyun LING, Yu WANG, Chunrong PENG, Bing LI, Zhaozhi CHU, Bin LI, Shanhong XIA. Single-chip 3D electric field microsensor[J]. Front. Mech. Eng., 2017, 12(4): 581-590.
[5] Jia XU,Zhen-yu ZHOU,Zhong-yu PIAO. Accumulated damage process of thermal sprayed coating under rolling contact by acoustic emission technique[J]. Front. Mech. Eng., 2016, 11(3): 227-232.
[6] Kirsten BOBZIN, Lidong ZHAO, Nils KOPP, Thomas WARDA. Feasibility study of plasma sprayed Al2O3 coatings as diffusion barrier on CFC components[J]. Front Mech Eng, 2012, 7(4): 371-375.
[7] Kirsten BOBZIN, Lidong ZHAO, Thomas SCHLAEFER, Thomas WARDA. Development of oxide based diffusion barrier coatings for CFC components applied in modern furnaces[J]. Front Mech Eng, 2011, 6(4): 392-396.
[8] Wenbin LI, Hiromasa SAKAI, Shota HARADA, Yasushi TAKASE, Nao-Aki NODA. Separation mechanism for double cylinder with shrink fitting system used for ceramics conveying rollers[J]. Front Mech Eng, 2011, 6(3): 277-286.
[9] Kirsten BOBZIN, Lidong ZHAO, Thomas SCHLAEFER, Thomas WARDA. Preparation and characterization of nanocrystalline ZrO2-7%Y2O3 powders for thermal barrier coatings by high-energy ball milling[J]. Front Mech Eng, 2011, 6(2): 176-181.
[10] Xiancheng ZHANG, Fuzhen XUAN, Shantung TU, Binshi XU, Yixiong WU. Durability of plasma-sprayed Cr3C2-NiCr coatings under rolling contact conditions[J]. Front Mech Eng, 2011, 6(1): 118-135.
[11] TU Shantung. Emerging challenges to structural integrity technology for high-temperature applications[J]. Front. Mech. Eng., 2007, 2(4): 375-387.
[12] ZHANG Xiancheng, WU Yixiong, XU Binshi, WANG Haidou. Residual stresses in coating-based systems, part II: Optimal designing methodologies[J]. Front. Mech. Eng., 2007, 2(2): 125-136.
[13] YANG Xiao, LIU Xuemei. Thermally developing forced convection and the corresponding thermal stresses in a porous plate channel[J]. Front. Mech. Eng., 2007, 2(1): 57-61.
[14] ZHANG Xiancheng, WU Yixiong, XU Binshi, WANG Haidou. Residual stresses in coating-based systems, part I: Mechanisms and analytical modeling[J]. Front. Mech. Eng., 2007, 2(1): 1-12.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed