journal article·2013-09

A systematic AMF–FEM coupled method for the thermo-elasto-plastic contact analysis of the plasma sprayed HA-coated biocomposite

Zheng Zhang, Huaping Wu, Weina Hao, Yumei Bao, Guozhong Chai

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Abstract

Hydroxyapatite (HA) coated Ti-6Al-4V alloy biocomposite has been accepted as one of the most promising implant materials for orthopaedic and dental applications because of its favorable biocompatibility and mechanical properties. After the plasma sprayed HA composite coating on titanium alloy substrate biocomposite was prepared, a novel meshless numerical analysis method of the coupled adaptive meshfree method and finite element method (AMF–FEM) is developed for the simulation of the thermo-elasto-plastic contact problems of the biocomposites in this paper. The adaptive meshfree method based on strain energy gradient is used in the concerned contact domain, and FEM is used in the non-contact domain to overcome the difficulties of the meshfree method and improve the calculation efficiency. The thermo-elasto-plastic contact model using the incremental-initial stiffness method, error estimation and the local adaptive refinement strategy for the AMF–FEM method are combined. The AMF–FEM thermo-elasto-plastic model takes into account the temperature variation, micro plastic flow, the thermo-elasto-plastic coupling behavior and the strain-hardening property of the materials. The examples of the elastic/thermal-elastic contact of real HA-coated rough surfaces using the AMF–FEM is studied for two biomaterial models, respectively. The results all show that the AMF–FEM solutions are accurate, efficient, and can be widely applied to different thermo-elasto-plastic contact multi-layer biomaterial models considering different geometric parameter, material parameter, thermal and friction properties.
Source: openaire · Quality: candidate unverified · Source record ↗

Research context

OpenAlex topics: Numerical methods in engineering · Mechanical stress and fatigue analysis · Adhesion, Friction, and Surface Interactions

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (29)

Show source-provided references
1. Argeso, H., Eraslan, A.N.: On the use of temperature-dependent physical properties in thermomechanical calculations for solid and hollow cylinders. Int. J. Therm. Sci. 47, 136–146 (2007)
2. Belytschko, T., Lu, Y.Y., Gu, L.: Element-free Galerkin methods. Int. J. Numer. Methods Eng. 37, 229–256 (1994)10.1002/nme.1620370205 ↗
3. Belytschko, T., Organ, I.D., Krongauz, Y.: A coupled finite element–element-free Galerkin method. Comput. Mech. 17, 186–195 (1995)10.1007/BF00364080 ↗
4. Belytschko, T., Krongauz, Y., Organ, D., Fleming, M., Krysl, P.: Meshless methods: an overview and recent developments. Comput. Methods Appl. Mech. Eng. 139, 3–47 (1996)10.1016/S0045-7825(96)01078-X ↗
5. Chou, B.Y., Chang, E.: Plasma-sprayed hydroxyapatite coating on titanium alloy with ZrO2 second phase and ZrO2 intermediate layer. Surf. Coat. Technol. 153, 84–92 (2002)10.1016/S0257-8972(01)01532-8 ↗
6. Chung, H.J., Belytschko, T.: An error estimate in the EFG method. Comput. Mech. 21, 91–100 (1998)10.1007/s004660050286 ↗
7. Combe, U., Korn, C.: An adaptive approach with the element-Free-Galerkin method. Comput. Methods Appl. Mech. Eng. 162, 203–222 (1998)10.1016/S0045-7825(97)00344-7 ↗
8. Crcan, Y., Eraslan, A.N.: Thermal stresses in elastic–plastic tubes with temperature dependent mechanical and thermal properties. J. Therm. Stress. 24, 1097–1113 (2001)10.1080/01495730152620087 ↗
9. Duarte, C.A., Oden, J.T.: An h-p adaptive method using clouds. Comput. Methods Appl. Mech. Eng. 139, 237–262 (1996)10.1016/S0045-7825(96)01085-7 ↗
10. Eraslan, A.N., Crcan, Y.: Computation of transient thermal stresses in elastic-plastic tubes: effect of coupling and temperature dependent physical properties. J. Therm. Stress. 25, 559–572 (2002)10.1080/01495730290074298 ↗
11. Espinosa, H.D., Zavattieri, P.D., Emore, G.L.: Adaptive FEM computation of geometric and material nonlinearities with application to brittle failure. Mech. Mater. 29, 275–305 (1998)10.1016/S0167-6636(98)00018-0 ↗
12. Gu, Y.W., Khor, K.A., Pan, D., et al.: Activity of plasma sprayed yttria stabilized zirconia reinforced hydroxyapatite/Ti-6Al-4V composite coatings in simulated body fluid. Biomaterials 25, 3177–3185 (2004)10.1016/j.biomaterials.2003.09.101 ↗
13. Ju, D.Y., Nishida, M., Hanabusa, T.: Simulation of the thermo-mechanical behavior and residual stresses in the spray coating process. J. Mater. Process. Technol. 92, 243–250 (1999)
14. Kou, X.Y., Tan, S.T.: A systematic approach for integrated computer-aided design and finite element analysis of functionally-graded-material objects. Mater. Des. 28, 2549–2565 (2007)10.1016/j.matdes.2006.10.024 ↗
15. Liu, G., Liu, T., Xie, Q., Shi, F.: Thermal elasto-plastic contact of rough surfaces. In: Proceedings of the World Tribology Congress III (WTC2005), Washington, DC, pp. 353–354 (2005)10.1115/WTC2005-63810 ↗
16. Liu, G.R., Tu, Z.H.: An adaptive procedure based on background cells for meshless methods. Comput. Methods Appl. Mech. Eng. 191, 1923–1943 (2002)10.1016/S0045-7825(01)00360-7 ↗
17. Liu, G., Wang, Q.: Thermoelastic asperity contacts, frictional shear, and parameter correlations. ASME J. Tribol. 122, 300–307 (2000)10.1115/1.555357 ↗
18. Liu, G., Zhu, J., Yu, L., Wang, Q.: Elasto-plastic contact of rough surfaces. STLE Tribol. Trans. 44, 437–443 (2001)10.1080/10402000108982478 ↗
19. Liu, T., Liu, G., Wang, Q.: An element-free Galerkin-finite element coupling method for elasto-plastic contact problems. ASME J. Tribol. 128, 1–9 (2006)10.1115/1.1843134 ↗
20. Sladek, J., Sladek, V., Zhang, C.: An advanced numerical method for computing elastodynamic fracture parameters in functionally graded materials. Comput. Mater. Sci. 32, 532–543 (2005)10.1016/j.commatsci.2004.09.011 ↗
21. Suchanek, W., Yoshimura, M.: Processing and properties of hydroxyapatite-based biomaterials for use as hard tissue replacement implants. Biomed. Mater. Res. 39, 94–117 (1998)
22. Wang, Q., Liu, G.: A thermoelastic asperity contact model considering steady-state heat transfer. STLE Tribol. Trans. 42, 763–770 (1999)10.1080/10402009908982280 ↗
23. Wriggers, P.: Computational Contact Mechanics. Hoboken: Wiley (2002)
24. Wriggers, P., Scherf, O.: Adaptive finite element techniques for frictional contact problems involving large elastic strains. Comput. Methods Appl. Mech. Eng. 151, 593–603 (1998)10.1016/S0045-7825(97)00169-2 ↗
25. Xiao, J.R., Gama, B.A., Gillespie Jr, J.W., Kansa, E.J.: Meshless solutions of 2D contact problems by subdomain variational inequality and MLPG method with radial basis functions. Eng. Anal. Boundary Elem. 29, 95–106 (2005)10.1016/j.enganabound.2004.12.004 ↗
26. Yu, H., Liu, S., Wang, Q.J., Chung, Y.W.: Influence of temperature-dependent yield strength on thermomechanical asperity contacts. Tribol. Lett. 17, 155–163 (2004)10.1023/B:TRIL.0000032440.19767.17 ↗
27. Yunhua, L., Haussleri, C.U.: An adaptivity procedure based on the gradient of strain energy density and its application in meshless methods. In: Michael, G., Schweitzer, M.A. (eds.) Meshfree Methods for Partial Differential Equations, pp. 267–279. Springer, Berlin (2003)10.1007/978-3-642-56103-0_18 ↗
28. Zhang, Z., Liu, G., Liu, T., Wang, Q.: Integrated adaptive element free Galerkin model for elastoplastic contact of engineering surfaces. Tribol. Mater. Surf. Interfaces 1, 87–97 (2007)10.1179/175158407X231367 ↗
29. Zhang, Z., Liu, G., Liu, T., Zeng, Q., Wu, L.: An adaptive meshless computational system for elasto-plastic contact problems. Int. J. Comput. Methods 5, 433–447 (2008)10.1142/S0219876208001595 ↗