Skip to main content
Top
Published in: Polymer Bulletin 12/2018

25-04-2018 | Original Paper

Experimental investigation on the yield behavior of PMMA

Authors: Ji Qiu, Tao Jin, Buyun Su, Xuefeng Shu, Zhiqiang Li

Published in: Polymer Bulletin | Issue 12/2018

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

Quasi-static compression, tension and combined shear–compression tests were conducted to characterize the mechanical behavior of PMMA. The cylinder samples and dog-bone samples were used for uniaxial testing. The shear–compression samples of four different angles (15°, 30°, 45°, and 50°) were used to obtain the multiaxial stress state instead of complex loading equipment. The yield behaviors of PMMA cannot be described by the Tresca or Mises criterion due to the effects of both the first invariant of the stress and the third invariant of deviatoric stress. A criterion is proposed that includes the first invariant of the stress and the third invariant of deviatoric stress in this paper. In other word, the effects of hydrostatic pressure and Lode angle are considered. The proposed yield criterion has the capability to precisely capture the experimental yield loci of PMMA.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literature
1.
go back to reference Acharya S, Mukhopadhyay AK (2014) High strain rate compressive behavior of PMMA. Polym Bull 71(1):133–149CrossRef Acharya S, Mukhopadhyay AK (2014) High strain rate compressive behavior of PMMA. Polym Bull 71(1):133–149CrossRef
2.
go back to reference Jin T, Niu XY, Xiao GS, Wang ZH, Zhou ZW, Yuan GZ, Shu XF (2015) Effects of experimental variables on PMMA nanoindentation measurements. Polym Test 41:1–6CrossRef Jin T, Niu XY, Xiao GS, Wang ZH, Zhou ZW, Yuan GZ, Shu XF (2015) Effects of experimental variables on PMMA nanoindentation measurements. Polym Test 41:1–6CrossRef
3.
go back to reference Nam JE, Lee JK, Mauldin TC (2010) Isothermal physical aging of thin PMMA films near the glass transition temperature. Polym Bull 65(8):825–835CrossRef Nam JE, Lee JK, Mauldin TC (2010) Isothermal physical aging of thin PMMA films near the glass transition temperature. Polym Bull 65(8):825–835CrossRef
4.
go back to reference Samad HA, Jaafar M (2009) Effect of polymethyl methacrylate (PMMA) powder to liquid monomer (P/L) ratio and powder molecular weight on the properties of PMMA cement. Polym Plast Technol Eng 48(5):554–560CrossRef Samad HA, Jaafar M (2009) Effect of polymethyl methacrylate (PMMA) powder to liquid monomer (P/L) ratio and powder molecular weight on the properties of PMMA cement. Polym Plast Technol Eng 48(5):554–560CrossRef
5.
go back to reference Holmquist TJ, Bradley J, Dwivedi A et al (2016) The response of polymethyl methacrylate (PMMA) subjected to large strains, high strain rates, high pressures, a range in temperatures, and variations in the intermediate principal stress. Eur Phys J Special Top 225(2):343–354CrossRef Holmquist TJ, Bradley J, Dwivedi A et al (2016) The response of polymethyl methacrylate (PMMA) subjected to large strains, high strain rates, high pressures, a range in temperatures, and variations in the intermediate principal stress. Eur Phys J Special Top 225(2):343–354CrossRef
6.
go back to reference Richeton J, Ahzi S, Vecchio KS et al (2006) Influence of temperature and strain rate on the mechanical behavior of three amorphous polymers: characterization and modeling of the compressive yield stress. Int J Solids Struct 43(7):2318–2335CrossRef Richeton J, Ahzi S, Vecchio KS et al (2006) Influence of temperature and strain rate on the mechanical behavior of three amorphous polymers: characterization and modeling of the compressive yield stress. Int J Solids Struct 43(7):2318–2335CrossRef
7.
go back to reference Chen W, Lu F, Cheng M (2002) Tension and compression tests of two polymers under quasi-static and dynamic loading. Polym Test 21(2):113–121CrossRef Chen W, Lu F, Cheng M (2002) Tension and compression tests of two polymers under quasi-static and dynamic loading. Polym Test 21(2):113–121CrossRef
8.
go back to reference Jerabek M, Major Z, Lang RW (2010) Uniaxial compression testing of polymeric materials. Polym Test 29(3):302–309CrossRef Jerabek M, Major Z, Lang RW (2010) Uniaxial compression testing of polymeric materials. Polym Test 29(3):302–309CrossRef
9.
go back to reference Wu HY, Ma G, Xia YM (2004) Experimental study of tensile properties of PMMA at intermediate strain rate. Mater Lett 58:3681–3685CrossRef Wu HY, Ma G, Xia YM (2004) Experimental study of tensile properties of PMMA at intermediate strain rate. Mater Lett 58:3681–3685CrossRef
10.
go back to reference Methiesen D, Vogtmann D, Dupaix RB (2014) Characterization and constitutive modeling of stress-relaxation behavior of poly (-methyl methacrylate) (PMMA) across the glass transition temperature. Mech Mater 71:74–84CrossRef Methiesen D, Vogtmann D, Dupaix RB (2014) Characterization and constitutive modeling of stress-relaxation behavior of poly (-methyl methacrylate) (PMMA) across the glass transition temperature. Mech Mater 71:74–84CrossRef
11.
go back to reference Richeton J, Schlatter G, Vecchio KS, Rémond Y, Ahzi S (2005) A unified model for stiffness modulus of amorphous polymers across transition temperatures and strain rates. Polymer 46:8194–8201CrossRef Richeton J, Schlatter G, Vecchio KS, Rémond Y, Ahzi S (2005) A unified model for stiffness modulus of amorphous polymers across transition temperatures and strain rates. Polymer 46:8194–8201CrossRef
12.
go back to reference Nasraoui M, Forquin P, Siad L, Rusinek A (2012) Influence of strain rate, temperature and adiabatic heating on the mechanical behavior of poly-methyl-methacrylate: experimental and modelling analyses. Mater Des 37:500–509CrossRef Nasraoui M, Forquin P, Siad L, Rusinek A (2012) Influence of strain rate, temperature and adiabatic heating on the mechanical behavior of poly-methyl-methacrylate: experimental and modelling analyses. Mater Des 37:500–509CrossRef
13.
go back to reference Forquin P, Nasraoui M, Rusinek A et al (2012) Experimental study of the confined behaviour of PMMA under quasi-static and dynamic loadings. Int J Impact Eng 40:46–57CrossRef Forquin P, Nasraoui M, Rusinek A et al (2012) Experimental study of the confined behaviour of PMMA under quasi-static and dynamic loadings. Int J Impact Eng 40:46–57CrossRef
14.
go back to reference Jin T, Zhou ZW, Wang ZH, Wu GY, Liu ZG, Shu XF (2015) Quasi-static failure behaviour of PMMA under combined shear-compression loading. Polym Test 42:181–184CrossRef Jin T, Zhou ZW, Wang ZH, Wu GY, Liu ZG, Shu XF (2015) Quasi-static failure behaviour of PMMA under combined shear-compression loading. Polym Test 42:181–184CrossRef
15.
go back to reference Zhou ZW, Su BY, Wang ZH, Li ZQ, Shu XF, Zhao LM (2015) Shear-compression failure behavior of PMMA at different loading rates. Mater Lett 109:151–153CrossRef Zhou ZW, Su BY, Wang ZH, Li ZQ, Shu XF, Zhao LM (2015) Shear-compression failure behavior of PMMA at different loading rates. Mater Lett 109:151–153CrossRef
16.
go back to reference Tresca H (1864) Mémoire sur l’écoulement des corps solides soumis à de fortes pressions. C R Acad Sci Paris 59:754–758 Tresca H (1864) Mémoire sur l’écoulement des corps solides soumis à de fortes pressions. C R Acad Sci Paris 59:754–758
17.
go back to reference Von Mises R (1913) Mechanik der festen Körper im plastisch deformablen Zustand, Nachrichten von der Gesellschaft der wissenschaften zu Göttingen. Math Phys Klasse 1:582–592 Von Mises R (1913) Mechanik der festen Körper im plastisch deformablen Zustand, Nachrichten von der Gesellschaft der wissenschaften zu Göttingen. Math Phys Klasse 1:582–592
18.
go back to reference Farrokh B, Khan AS (2010) A strain rate dependent yield criterion for isotropic polymers: low to high rates of loading. Eur J Mech A Solids 29(2):274–282CrossRef Farrokh B, Khan AS (2010) A strain rate dependent yield criterion for isotropic polymers: low to high rates of loading. Eur J Mech A Solids 29(2):274–282CrossRef
19.
go back to reference Ghorbel E (2008) A viscoplastic constitutive model for polymeric materials. Int J Plast 24:2032–2058CrossRef Ghorbel E (2008) A viscoplastic constitutive model for polymeric materials. Int J Plast 24:2032–2058CrossRef
20.
go back to reference Jin T, Zhou ZW, Shu XF, Wang ZH, Wu GY, Zhao LG (2016) Experimental investigation on the yield loci of PA66. Polym Test 51:148–150CrossRef Jin T, Zhou ZW, Shu XF, Wang ZH, Wu GY, Zhao LG (2016) Experimental investigation on the yield loci of PA66. Polym Test 51:148–150CrossRef
21.
go back to reference Vural M, Rittel D, Ravichandran G (2003) Large strain mechanical behavior of 1018 cold-rolled steel over a wide range of strain rates. Metall Mater Trans A 34A:2873–2885CrossRef Vural M, Rittel D, Ravichandran G (2003) Large strain mechanical behavior of 1018 cold-rolled steel over a wide range of strain rates. Metall Mater Trans A 34A:2873–2885CrossRef
Metadata
Title
Experimental investigation on the yield behavior of PMMA
Authors
Ji Qiu
Tao Jin
Buyun Su
Xuefeng Shu
Zhiqiang Li
Publication date
25-04-2018
Publisher
Springer Berlin Heidelberg
Published in
Polymer Bulletin / Issue 12/2018
Print ISSN: 0170-0839
Electronic ISSN: 1436-2449
DOI
https://doi.org/10.1007/s00289-018-2333-y

Other articles of this Issue 12/2018

Polymer Bulletin 12/2018 Go to the issue

Premium Partners