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Erschienen in:

19.11.2021

Evaluation of the Viscoplastic Strain of High-Density Polyethylene/Multiwall Carbon Nanotube Composites Using the Reaction Rate Relation

verfasst von: K. Aniskevich, O. Starkova

Erschienen in: Mechanics of Composite Materials | Ausgabe 5/2021

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Abstract

A novel semiempirical method for separating the viscoplastic strains from the total creep strains is proposed and validated by examples of high-density polyethylene (HDPE)/multiwall carbon nanotube (MWCNT) nanocomposites. The method is based on Eyring’s reaction rate relation and an analysis of creep data in semilogarithmic strain rate–strain coordinates. The initial linear part of the relation corresponds to the reversible viscoelastic behavior, but the deviation from it is related to the accumulation of viscoplastic strains. The viscoplastic strains are determined by simple calculations using four approximation coefficients determined from two linear parts of the strain rate–strain relation. A common relationship between the viscoplastic and total creep strains is established from data of 57 creep and creep recovery tests for samples filled with various content of MWCNTs and performed under for different stresses and loading times. The validity of the method is proved by the existence of a reasonable correlation between the calculated viscoplastic strains and the residual strains measured experimentally at the creep recovery stage. The method proposed contributes to an effective assessment of viscoplastic strains found from creep tests with no need to study the creep recovery.

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Literatur
1.
Zurück zum Zitat I. M. Ward and J. Sweeney, An Introduction to the Mechanical Properties of Solid Polymers, John Wiley & Sons, Ltd., West Sussex (2004). I. M. Ward and J. Sweeney, An Introduction to the Mechanical Properties of Solid Polymers, John Wiley & Sons, Ltd., West Sussex (2004).
2.
Zurück zum Zitat K. Aniskevich, O. Starkova, J. Jansons, and A. Aniskevich, Long-Term Deformability and Aging of Polymer Matrix Composites. Nova Science Publishers. ISBN: 978-1-61470-406-5 (2011). K. Aniskevich, O. Starkova, J. Jansons, and A. Aniskevich, Long-Term Deformability and Aging of Polymer Matrix Composites. Nova Science Publishers. ISBN: 978-1-61470-406-5 (2011).
3.
Zurück zum Zitat M. Megnis and J. Varna, “Nonlinear viscoelastic, viscoplastic characterization of unidirectional GF/EP composite,” Mech. Time-Dependent Mater., 7, 269-290 (2003).CrossRef M. Megnis and J. Varna, “Nonlinear viscoelastic, viscoplastic characterization of unidirectional GF/EP composite,” Mech. Time-Dependent Mater., 7, 269-290 (2003).CrossRef
4.
Zurück zum Zitat P. Dasappa, P. Lee-Sullivan, and X. Xiao. “Development of viscoplastic strains during creep in continuous fibre GMT composites,” Composites: Part B, 41, 48-57 (2010).CrossRef P. Dasappa, P. Lee-Sullivan, and X. Xiao. “Development of viscoplastic strains during creep in continuous fibre GMT composites,” Composites: Part B, 41, 48-57 (2010).CrossRef
5.
Zurück zum Zitat S. P. Zaoutsos and G. C. Papanicolaou, “On the influence of preloading in the nonlinear viscoelastic-viscoplastic response of carbon-epoxy composites,” Compos. Sci. and Technol., 70, 922-929 (2010).CrossRef S. P. Zaoutsos and G. C. Papanicolaou, “On the influence of preloading in the nonlinear viscoelastic-viscoplastic response of carbon-epoxy composites,” Compos. Sci. and Technol., 70, 922-929 (2010).CrossRef
6.
Zurück zum Zitat L. Pupure, S. Saseendran, and J. Varna, “Effect of degree of cure on viscoplastic shear strain development in layers of [45/-45]s GF/EP composites,” J. Compos. Mater., 52, No. 24, 3277-3288 (2018).CrossRef L. Pupure, S. Saseendran, and J. Varna, “Effect of degree of cure on viscoplastic shear strain development in layers of [45/-45]s GF/EP composites,” J. Compos. Mater., 52, No. 24, 3277-3288 (2018).CrossRef
7.
Zurück zum Zitat A. V. Khokhlov, “Applicability indicators and identification techniques for a nonlinear Maxwell-type elastoviscoplastic model using loading-unloading curves,” Mech. Compos. Mater., 55, 195-210 (2019).CrossRef A. V. Khokhlov, “Applicability indicators and identification techniques for a nonlinear Maxwell-type elastoviscoplastic model using loading-unloading curves,” Mech. Compos. Mater., 55, 195-210 (2019).CrossRef
8.
Zurück zum Zitat L. J. Zapas and J. M. Crissman, “Creep and recovery behaviour of ultra-high molecular weight polyethylene in the region of small uniaxial deformations,” Polymer, 25, 57-62 (1984).CrossRef L. J. Zapas and J. M. Crissman, “Creep and recovery behaviour of ultra-high molecular weight polyethylene in the region of small uniaxial deformations,” Polymer, 25, 57-62 (1984).CrossRef
9.
Zurück zum Zitat J. Varna and L. Pupure, “Characterization of viscoelasticity, viscoplasticity, and damage in composites.” In: R. Guedes (ed), Creep and Fatigue in Polymer Matrix Composites (2nd Edition) Woodhead Publishing Series in Composites Science and Engineering, 497-530 (2019). J. Varna and L. Pupure, “Characterization of viscoelasticity, viscoplasticity, and damage in composites.” In: R. Guedes (ed), Creep and Fatigue in Polymer Matrix Composites (2nd Edition) Woodhead Publishing Series in Composites Science and Engineering, 497-530 (2019).
10.
Zurück zum Zitat L. M. Kachanov, “On the creep fracture time,” Izv. Akad. Nauk SSSR, Otd. Tekh. Nauk, 26-31 (1958) [in Russian]. L. M. Kachanov, “On the creep fracture time,” Izv. Akad. Nauk SSSR, Otd. Tekh. Nauk, 26-31 (1958) [in Russian].
11.
Zurück zum Zitat Yu. N. Rabotnov, Creep of Structural Elements, Nauka, Moscow (1966); North-Holland, Amsterdam, (1969). Yu. N. Rabotnov, Creep of Structural Elements, Nauka, Moscow (1966); North-Holland, Amsterdam, (1969).
12.
Zurück zum Zitat J.-S. Kim and A. H. Muliana, “A combined viscoelastic-viscoplastic behavior of particle reinforced composites,” Int. J. Solids and Structures, 47, 580-594 (2010).CrossRef J.-S. Kim and A. H. Muliana, “A combined viscoelastic-viscoplastic behavior of particle reinforced composites,” Int. J. Solids and Structures, 47, 580-594 (2010).CrossRef
13.
Zurück zum Zitat A. Muliana, “Nonlinear viscoelastic-degradation model for polymeric based materials,” Int. J. Solids and Structures, 51, No. 1, 122-132 (2014).CrossRef A. Muliana, “Nonlinear viscoelastic-degradation model for polymeric based materials,” Int. J. Solids and Structures, 51, No. 1, 122-132 (2014).CrossRef
14.
Zurück zum Zitat R. A. Shapery, “On the characterization of nonlinear viscoelastic materials,” Polym. Eng. & Sci. 9, No 4, 295-310 (1969).CrossRef R. A. Shapery, “On the characterization of nonlinear viscoelastic materials,” Polym. Eng. & Sci. 9, No 4, 295-310 (1969).CrossRef
15.
Zurück zum Zitat A. S. Krausz and H. Eyring, Deformation Kinetics, John Wiley & Sons, New York (1975). A. S. Krausz and H. Eyring, Deformation Kinetics, John Wiley & Sons, New York (1975).
16.
Zurück zum Zitat H. Eyring. “Viscosity, plasticity, and diffusion as examples of absolute reaction rates,” J. Chem. Phys., No. 4, 283-295 (1963). H. Eyring. “Viscosity, plasticity, and diffusion as examples of absolute reaction rates,” J. Chem. Phys., No. 4, 283-295 (1963).
17.
Zurück zum Zitat G. Spathis and E. Kontou, “Creep failure time prediction of polymers and polymer composites”, Compos. Sci. Technol., 72, 959-964 (2012).CrossRef G. Spathis and E. Kontou, “Creep failure time prediction of polymers and polymer composites”, Compos. Sci. Technol., 72, 959-964 (2012).CrossRef
18.
Zurück zum Zitat E. Kontou, “Creep analysis of polymer matrix composites using viscoplastic models,” In: R. Guedes (ed.), Creep and Fatigue in Polymer Matrix Composites (2nd edition), Woodhead Publishing Series in Composites Science and Engineering, 215-248 (2019). E. Kontou, “Creep analysis of polymer matrix composites using viscoplastic models,” In: R. Guedes (ed.), Creep and Fatigue in Polymer Matrix Composites (2nd edition), Woodhead Publishing Series in Composites Science and Engineering, 215-248 (2019).
19.
Zurück zum Zitat H. Altenbach, A. Kutschke, A. Girchenko, and K. Naumenko, “Creep behavior modeling of polyoxymethylene (POM) applying rheological models,” In: Holm Altenbach and Michael Brünig (eds.), Inelastic Behavior of Materials and Structures Under Monotonic and Cyclic Loading, Springer International Publishing, 1-16 (2015). H. Altenbach, A. Kutschke, A. Girchenko, and K. Naumenko, “Creep behavior modeling of polyoxymethylene (POM) applying rheological models,” In: Holm Altenbach and Michael Brünig (eds.), Inelastic Behavior of Materials and Structures Under Monotonic and Cyclic Loading, Springer International Publishing, 1-16 (2015).
20.
Zurück zum Zitat B. Voight, “A relation to describe rate-dependent material failure,” Science, 243, No. 4888, 200-203 (1989).CrossRef B. Voight, “A relation to describe rate-dependent material failure,” Science, 243, No. 4888, 200-203 (1989).CrossRef
21.
Zurück zum Zitat J. Corcoran and C. M. Davies, “Monitoring power-law creep using the failure forecast method,” Int. J. Mech. Sci., 140, 179-188 (2018).CrossRef J. Corcoran and C. M. Davies, “Monitoring power-law creep using the failure forecast method,” Int. J. Mech. Sci., 140, 179-188 (2018).CrossRef
22.
Zurück zum Zitat O. D. Sherby and J. E. Dorn, “Anelastic creep of polymethyl methacrylate,” Mech Phys Solid., 6, 145-162 (1958).CrossRef O. D. Sherby and J. E. Dorn, “Anelastic creep of polymethyl methacrylate,” Mech Phys Solid., 6, 145-162 (1958).CrossRef
23.
Zurück zum Zitat O. Erartsın, M. van Drongelen, and L. E. Govaert, “Identification of plasticity-controlled creep and fatigue failure mechanisms in transversely loaded unidirectional thermoplastic composites,” J. Compos. Mater., (2020) (in press). O. Erartsın, M. van Drongelen, and L. E. Govaert, “Identification of plasticity-controlled creep and fatigue failure mechanisms in transversely loaded unidirectional thermoplastic composites,” J. Compos. Mater., (2020) (in press).
24.
Zurück zum Zitat T. B. van Erp, C. T. Reynolds, T. Peijs, J. A. W. van Dommelen, and L. E. Govaert, “Prediction of yield and long-term failure of oriented polypropylene: kinetics and anisotropy,” J. Polymer Sci., Part B: Polymer Physics, 47, 2026-2035 (2009).CrossRef T. B. van Erp, C. T. Reynolds, T. Peijs, J. A. W. van Dommelen, and L. E. Govaert, “Prediction of yield and long-term failure of oriented polypropylene: kinetics and anisotropy,” J. Polymer Sci., Part B: Polymer Physics, 47, 2026-2035 (2009).CrossRef
25.
Zurück zum Zitat O. Starkova, K. Aniskevich, J. Sevcenko, O. Bulderberga, and A. Aniskevich, “Relationship between the residual and total strain from creep recovery tests of polypropylene/multiwall carbon nanotube composites,” J. Appl. Polym. Sci., 138, No. 10, 49-57 (2021).CrossRef O. Starkova, K. Aniskevich, J. Sevcenko, O. Bulderberga, and A. Aniskevich, “Relationship between the residual and total strain from creep recovery tests of polypropylene/multiwall carbon nanotube composites,” J. Appl. Polym. Sci., 138, No. 10, 49-57 (2021).CrossRef
26.
Zurück zum Zitat O. Starkova, J. Sevcenko, S. Stankevich, O. Bulderberga, and A. Aniskevich. “Creep of high density polyethylene filled with multiwall carbon nanotubes,” J. Phys. Conf. Ser., 1431, 012005, (2020).CrossRef O. Starkova, J. Sevcenko, S. Stankevich, O. Bulderberga, and A. Aniskevich. “Creep of high density polyethylene filled with multiwall carbon nanotubes,” J. Phys. Conf. Ser., 1431, 012005, (2020).CrossRef
Metadaten
Titel
Evaluation of the Viscoplastic Strain of High-Density Polyethylene/Multiwall Carbon Nanotube Composites Using the Reaction Rate Relation
verfasst von
K. Aniskevich
O. Starkova
Publikationsdatum
19.11.2021
Verlag
Springer US
Erschienen in
Mechanics of Composite Materials / Ausgabe 5/2021
Print ISSN: 0191-5665
Elektronische ISSN: 1573-8922
DOI
https://doi.org/10.1007/s11029-021-09980-z

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