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On the Buckling Behavior of Multi-cracked FGM Plates

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Part of the book series: Lecture Notes in Mechanical Engineering ((LNME))

Abstract

In this paper, a model of statically stability plate with crack-based finite element analysis will be introduced by numerical simulation computation. The simulation model was built based on phase field theory in mechanics of fracture; the case study of plate was significantly computed with the new third-order shear deformation plate theory (TSDT), which is derived from an elasticity formulation, rather by the hypothesis of displacements [1]. Importantly, to verify of reliability of the modeling computation theory, the simulation result was compared to the experiment of Seifi and Nafiseh [2] to ensure the essential reliability for the paper. After that, the authors also propose and test the effects due to the size, the declination of cracks as well as the thickness of the plate to the stability, additionally, the relation between number of cracks and buckling load involved to instability of plate will be discussed. Lastly, visual configurations about forms of instability of plate with cracks will be presented.

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References

  1. Shi G (2007) A new simple third-order shear deformation theory of plates. Int J Solids Struct 44:4399–4417

    Article  MATH  Google Scholar 

  2. Seifi R, Nafiseh K-Y (2011) Experimental and numerical studies on buckling of cracked thin plates under full and partial compression edge loading. Thin Walled Struct 19:1504–1516

    Article  Google Scholar 

  3. Jha DK, Kant T, Singh RK (2013) A critical review of recent research on functionally graded plates. Compos Struct 96:833–849

    Article  Google Scholar 

  4. Fantuzzi N, Tornabene F, Viola E (2016) Four-parameter functionally graded cracked plates of arbitrary shape: a GDQFEM solution for free vibrations. Mech Adv Mater Struct 23(1):89–107

    Article  Google Scholar 

  5. Huang CS, McGee OG III, Chang MJ (2011) Vibrations of cracked rectangular FGM thick plates. Compos Struct 93(7):1747–1764

    Article  Google Scholar 

  6. Wattanasakulpong N, Prusty GB, Kelly DW (2013) Free and forced vibration analysis using improved third-order shear deformation theory for functionally graded plates under high temperature loading. J Sandwich Struct Mater 15:583–606

    Article  Google Scholar 

  7. Shariat BAS, Eslami MR (2007) Buckling of thick functionally graded plates under mechanical and thermal loads. Compos Struct 78(3):433–439

    Article  Google Scholar 

  8. Golmakani ME, Kadkhodayan M (2011) Large deformation analysis of circular and annular FGM plates under thermo-mechanical loadings with temperature dependent properties. Composite Part B 42:614–625

    Article  Google Scholar 

  9. Najafizadeh MM, Heydari HR (2004) Thermal buckling of functionally graded circular plates based on higher order shear deformation plate theory. Eur J Mech 23(6):1085–1100

    Article  MATH  Google Scholar 

  10. Talha M, Singh BN (2010) Static response and free vibration analysis of FGM plates using higher order shear deformation theory. Appl Math Model 34:3991e4011

    Google Scholar 

  11. Dolbow J, Moës N, Belytschko T (2000) Modeling fracture in Mindlin-Reissner plates with the extended finite element method. Int J Solids Struct 37:7161–7183

    Article  MATH  Google Scholar 

  12. Shaterzadeh A, Abolghasemi S, Rezaei R (2014) Finite element analysis of thermal buckling of rectangular laminated composite plates with circular cutout. J Therm Stress 37(5):604–623

    Article  Google Scholar 

  13. Yu T, Bui TQ, Yin S, Doan DH, Wu CT, Van Do T, Tanaka S (2016) On the thermal buckling analysis of functionally graded plates with internal defects using extended isogeometric analysis. Compos Struct 136:684–695

    Google Scholar 

  14. Baiz PM, Bordas S, Kerfriden P, Rabczuk T (2011) Linear buckling analysis of cracked plates by SFEM and XFEM (SmXFEM). J Mech Mater Struct 6(9–10):1213–1238

    Article  Google Scholar 

  15. Natarajan S, Baiz PM, Bordas S, Rabczuk T, Kerfriden P (2011) Natural frequencies of cracked functionally graded material plates by the extended finite element method. Compos Struct 93(11):3082–3092

    Article  Google Scholar 

  16. Kuhn C, Muller R (2010) A continuum phase field model for fracture. Eng Fract Mech 77:3625–3634

    Article  Google Scholar 

  17. Borden MJ, Verhoosel CV, Scott MA, Hughes TJR, Landis CM (2012) A phase-field description of dynamic brittle fracture. Comput Methods Appl Mech Eng 217–220:77–95

    Article  MathSciNet  MATH  Google Scholar 

  18. Areias P, Rabczuk T, Msekh M (2016) Phase-field analysis of finite-strain plates and shells including element subdivision. Comput Methods Appl Mech Eng 312(C):322–350

    Google Scholar 

  19. Amiri F, Milan D, Shen Y, Rabczuk T, Arroyo M (2014) Phase-field modeling of fracture in linear thin shells. Theoret Appl Fract Mech 69:102–109

    Article  Google Scholar 

  20. Reddy JN (2000) Analysis of functionally graded plates. Int J Numer Methods Eng 47:663–684

    Article  MATH  Google Scholar 

  21. Bui TQ, Van Do T, Ton LHT, Doan DH, Tanaka S, Pham DT, Nguyen-Van T-A, Yu T, Hirose S (2016) On the high temperature mechanical behaviors analysis of heated functionally graded plates using FEM and a new third-order shear deformation plate theory. Compos Part B 92:218–241

    Google Scholar 

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Ackowledgements

This research is funded by Vietnam National University, Hanoi under grant number QG.17.45. The authors are grateful for this support.

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Correspondence to Nguyen Dinh Duc or Truong Duc Trinh .

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Duc, N.D., Trinh, T.D., Van Do, T., Doan, D.H. (2018). On the Buckling Behavior of Multi-cracked FGM Plates. In: Nguyen-Xuan, H., Phung-Van, P., Rabczuk, T. (eds) Proceedings of the International Conference on Advances in Computational Mechanics 2017. ACOME 2017. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-10-7149-2_3

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  • DOI: https://doi.org/10.1007/978-981-10-7149-2_3

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-7148-5

  • Online ISBN: 978-981-10-7149-2

  • eBook Packages: EngineeringEngineering (R0)

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