Peridynamic model for nonlinear viscoelastic creep and creep rupture of Polypropylene

Authors

  • M. A. Azizi Department of Mechanical and Manufacturing Engineering, Faculty of Engineering, Universiti Putra Malaysia, 43400, Serdang, Selangor, Malaysia, Phone: +60136131202
  • A. K. Ariffin Faculty of Engineering and Build Environment, Universiti Kebangsaan Malaysia 43600, Bangi, Selangor, Malaysia

DOI:

https://doi.org/10.15282/jmes.13.4.2019.02.0458

Keywords:

peridynamic, viscoelastic, creep, polypropylene, nonlinear, fracture

Abstract

This paper presents the peridynamic numerical method for nonlinear viscoelastic creep behaviour which consists of primary, secondary, tertiary creep stages and creep rupture. A nonlinear viscoelastic creep constitutive equation based on internal state variable (ISV) theory which covers four creep stages is examined. The viscoelastic equation is substituted into material parameter in the peridynamic equation to derive a new peridynamic method with two time parameters i.e. numerical time and real time. The parameters of the viscoelastic equation is analyzed and evaluated. In validating this peridynamic method, a comparison is made between numerical and experimental data. The peridynamic method for nonlinear viscoelastic creep behaviour (VE-PD) is approved by the good similarity between numerical and experimental creep strain curves with overall difference of 10.67%. The nonlinearity of experimental and numerical data is adequately similar as the error between experimental and numerical curves of secondary stage strain rate against load is 8.022%. The shapes of fractured numerical specimen show good resemblance with the experimental result as well.

References

Yoshimura T. Application of fracture mechanics on Japanese automotive industry. European Structural Integrity Society. 2000; 26:155-161.

Wanhill RJH, Molent L, Barter SA. Fracture mechanics in aircraft failure analysis: Uses and limitations. Engineering Failure Analysis. 2013; 35:33-45.

Nguyen DT, Nguyen VT. A fracture mechanics-based approach to modeling theconfinement effect in reinforced concrete column. Construction and Building Materials. 2016; 102: 893-903. [4] Lyashuk O, Pyndus Y, Lutsiv I, Vovk Y, Poberezhna L, Tretiakov O, Zolotyy R. Fracture cause analysis of the extruder’s shaft and geometry optimization of the spline. Journal of Mechanical Engineering and Sciences. 2019; 13(1): 4449-4460.

Mayyas A, Qattawi A, Omar M, Shan D. Design for sustainability in automotive industry: a comprehensive review. Renewable and Sustainable Energy Reviews. 2012; 16:1845-1862.

Wilson A. Vehicle weight is the key driver for automotive composites. Reinforced Plastics. 2015. [7] Nordin MNA, Sakamoto K, Azhari H, Goda K, Okamoto M, Ito H, Endo T. Tensile and impact properties of pulverized oil palm fiber reinforced Polypropylene composites: A comparison study with wood fiber reinforced Polypropylene composites. Journal of Mechanical Engineering and Sciences. 2018; 12(4): 4191-4202.

Xu Y, Yuan H. Application of normal stress dominated cohesive zone models for mixed-mode crack simulation based on extended finite element methods. Engineering Fracture Mechanics. 2011;78(3):544-558.

Pourmodheji R, Mashayekhi M. Improvement of the extended finite element method for ductile crack growth. Materials Science and Engineering A. 2012; 551: 255-271.

Zhang S, Wang G, Yu X. Seismic cracking analysis of concrete gravity dams with initial cracks using the extended finite element method. Engineering Structures. 2013; 6: 528-543.

Brahma Raju K, Venkata Subbaiah K. Simulation of Ti-6Al-4V cruciform welded joints subjected to fatigue load using XFEM. Journal of Mechanical Engineering and Sciences. 2019; 13(3): 5371-5389.

Hu W, Ha YD, Bobaru F. Peridynamic model for dynamic fracture in unidirectional fiber-reinforced composites. Computer Methods in Applied Mechanics and Engineering. 2012; 217-220 & 247-261.

Oterkus E, Madenci E, Weckner O, Silling S, Bogert P, Tessler A. Combined finite element and peridynamic analyses for predicting failure in a stiffened composite curved panel with a central slot. Composite Structures. 2012; 94(3): 839-850.

Kilic B, Madenci E. Structural stability and failure analysis using peridynamic theory. International Journal of Non-Linear Mechanics. 2009; 44(8): 845-854.

Ha YD, Bobaru F. Characteristics of dynamic brittle fracture captured with peridynamics. Engineering Fracture Mechanics. 2011; 78(6): 1156–1168.

Agwai A, Guven I, Madenci E. Crack propagation in multilayer thin-film structures of electronic packages using the peridynamic theory. Microelectronics Reliability. 2011; 51(12): 2298–2305.

Wenke H, Yenan W, Jian Y, Chian-Fong Y, Florin B. Impact damage on a thin glass plate with a thin polycarbonate backing. International Journal of Impact Engineering. 2013; 62: 152-165.

Zhang L, Liu Y, Yang Q. A creep model with damage based on internal variable theory and its fundamental properties. Mechanics of Materials. 2014; 78: 44-55.

Gao D, Wang P, Li M, Luo W. Modelling of nonlinear viscoelastic creep behaviour of hot-mix asphalt. Construction and Building Materials. 2015; 95: 329-336.

Paola MD, Scimemi GF. Finite element method on fractional viscoelastic frames. Computers and Structures. 2015; 164: 15-22.

Nedjar B. Modeling long-term creep rupture by debonding in unidirectional fibre-reinforced composites. International Journal of Solids and Structures. 2014; 51: 1962–1969. [22] Azizi MA, Ariffin AK, Nikabdullah N. The peridynamic model of viscoelastic creep and recovery. Multidiscipline Modeling in Materials and Structures. 2015; 11: 579-597.

Weckner O, Nikabdullah N. Viscoelastic material models in peridynamics. Applied Mathematics and Computation. 2013; 219(11): 6039-6043.

Kilic B, Madenci E. Peridynamic theory for thermomechanical analysis. IEEE Transaction on Advanced Packaging. 2010; 33(1): 97-105.

Yi-le H, Yin Y, Hai W. Peridynamic analytical method for progressive damage in notched composite laminates. Composite Structures. 2014; 108: 801-810.

Weckner O, Abeyaratne R. The effect of long-range forces on the dynamics of a bar. Journal of the Mechanics and Physics of Solids. 2005; 53(3): 705-728.

Kilic B, Agwai A, Madenci E. Peridynamic theory for progressive damage prediction in center-cracked composite laminates. Composite Stuctures. 2009; 90(2): 141-151.

Rice JR. Inelastic constitutive relation for solids: An internal variable theory and its application to metal plasticity. Journal of the Mechanics and Physics of Solids. 1971; 19: 433–455.

Aubertin M, Gill DE, Ladanyi B. An internal variable model for the creep of rocksalt. Rock Mechanics and Rock Engineering. 1991; 24: 81–97.

Irgens F. Chapter 9: Viscoelasticity. In: Irgens F. Continuum Mechanics. Girona: Springer-Verlag Berlin Heilderberg; 2008.

Drozdov AD. Creep rupture and viscoelastoplasticity of Polypropylene. Engineering Fracture Mechanics. 2010; 77(12): 2277-2293.

Silling SA, Askari E. A meshfree method based on the peridynamic model of solid mechanics. Computers and Structures. 2005; 83: 1526–1535.

Gao L, Chena X, Gao H, Zhanga S. Description of nonlinear viscoelastic behavior and creep-rupture time of anisotropic conductive film. Materials Science and Engineering A. 2010; 527: 5115–5121.

Ponnamma D, Thomas S. Origin of nonlinear viscoelasticity in filler rubbers: theory and practice. In: Ponnamma D, Thomas S. Viscoelasticity of Rubber Composites and Nanocomposites. Switzerland: Springer. 2014:1-13.

Downloads

Published

2019-12-19

How to Cite

[1]
M. A. Azizi and A. K. Ariffin, “Peridynamic model for nonlinear viscoelastic creep and creep rupture of Polypropylene”, J. Mech. Eng. Sci., vol. 13, no. 4, pp. 5735–5752, Dec. 2019.