Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Adhesion, cavitation, and fibrillation during the debonding process of pressure sensitive adhesives

S. Varchanis, A. Kordalis, Y. Dimakopoulos*, and J. Tsamopoulos

  • Laboratory of Fluid Mechanics & Rheology, Department of Chemical Engineering, University of Patras, 26500 Patras, Greece

  • *Corresponding author: dimako@chemeng.upatras.gr

Phys. Rev. Fluids 6, 013301 – Published 15 January, 2021

DOI: https://doi.org/10.1103/PhysRevFluids.6.013301

Abstract

We employ the finite-extensible Giesekus viscoelastic constitutive equation to model viscoelastic fluidlike adhesives and study theoretically their response during the debonding process from a rigid surface. We consider a cylindrical sample of soft pressure sensitive adhesive, confined between two solid disks, and assume that small cavities preexist at the adhesive-solid interface due to surface inhomogeneities. When the debonding process is initiated, and the upper disk starts to move, elongating the sample, the cavities expand laterally and weaken the sample. As the debonding process evolves, the cavities start to interact with each other and deform mainly in the direction of elongation; this leads to the formation of thin sheets of material that induce the fibrillation of the sample. At the late stages of the process, these fibrils become very thin, and adhesion is lost. To simulate this complex process that features multiple free surfaces and three-phase contact lines, we solve the full three-dimensional, transient momentum and mass conservation equations coupled with the constitutive equation that accounts for the non-Newtonian stress contribution. The governing equations are expressed in their Lagrangian form and solved with a Petrov-Galerkin stabilized, finite element formulation. The physical domain is discretized with an unstructured mesh that is adaptively reconstructed, allowing us to reach very high deformations of the initial sample. Our results are in qualitative agreement with experimental observations, both regarding the stress-strain curve and the shape of the cavities. Finally, by performing a parametric analysis, we investigate the role of the rheological and geometrical properties of the sample on the adhesion energy of the material.

Physics Subject Headings (PhySH)

Article Text

References (57)

  1. C. Creton, Pressure-sensitive adhesives: an introductory course, MRS Bull. 28, 434 (2003).
  2. C. Creton and M. Ciccotti, Fracture and adhesion of soft materials: A review, Rep. Prog. Phys. 79, 046601 (2016).
  3. A. J. Crosby and K. R. Shull, Adhesive failure analysis of pressure-sensitive adhesives, J. Polym. Sci. B 37, 3455 (1999).
  4. A. Zosel, Adhesion and tack of polymers: Influence of mechanical properties and surface tensions, Colloid Polym. Sci. 263, 541 (1985).
  5. H. Lakrout, P. Sergot, and C. Creton, Direct observation of cavitation and fibrillation in a probe tack experiment on model acrylic pressure-sensitive-adhesives, J. Adhesion 69, 307 (1999).
  6. A. Lindner, B. Lestriez, S. Mariot, T. Maevis, R. Brummer, B. Luehmann, and C. Creton, Adhesive and rheological properties of lightly crosslinked model acrylic networks, J. Adhes. 82, 267 (2006).
  7. F. Tanguy, M. Nicoli, A. Lindner, and C. Creton, Quantitative analysis of the debonding structure of soft adhesives, Eur. Phys. J. E 37, 1 (2014).
  8. T. Yamaguchi, K. Koike, and M. Doi, In situ observation of stereoscopic shapes of cavities in soft adhesives, Europhys. Lett. 77, 64002 (2007).
  9. C. Creton, J. C. Hooker, and K. R. Shull, Bulk and interfacial contributions to the debonding mechanisms of soft adhesives: Extension to large strains, Langmuir 17, 4948 (2001).
  10. J. Teisseire, F. Nallet, P. Fabre, and C. Gay, Understanding cracking versus cavitation in pressure-sensitive adhesives: The role of kinetics, J. Adhes. 83, 613 (2007).
  11. A. Zosel, The effect of fibrilation on the tack of pressure sensitive adhesives, Int. J. Adhes. Adhes. 18, 265 (1998).
  12. N. B. Wyatt and A. M. Grillet, Rheology, adhesion, and debonding mechanisms in fluorosilicone polymer gels, J. Appl. Polym. Sci. 131, 40034 (2014).
  13. K. R. Brown and C. Creton, Nucleation and growth of cavities in soft viscoelastic layers under tensile stress, Eur. Phys. J. E 9, 35 (2002).
  14. A. Chiche, J. Dollhofer, and C. Creton, Cavity growth in soft adhesives, Eur. Phys. J. E 17, 389 (2005).
  15. J. Dollhofer, A. Chiche, V. Muralidharan, C. Creton, and Y. Hui, Surface energy effects for cavity growth and nucleation in an incompressible neo-Hookean material - modeling and experiment, Int. J. Solids Struct. 41, 6111 (2004).
  16. K. Foteinopoulou, V. Mavrantzas, Y. Dimakopoulos, and J. Tsamopoulos, Numerical simulation of multiple bubbles growing in a Newtonian liquid filament undergoing stretching, Phys. Fluids 18, 042106 (2006).
  17. T. Yamaguchi and M. Doi, Debonding dynamics of pressure-sensitive adhesives: 3D block model, Eur. Phys. J. E 21, 331 (2006).
  18. J. Papaioannou, A. Giannousakis, Y. Dimakopoulos, and J. Tsamopoulos, Bubble deformation and growth inside viscoelastic filaments undergoing very large extensions, Ind. Eng. Chem. Res. 53, 7548 (2014).
  19. J. M. Wiest, A differential constitutive equation for polymer melts, Rheol. Acta 28, 4 (1989).
  20. A. N. Beris and B. J. Edwards, Thermodynamics of Flowing Systems: With Internal Microstructure (Oxford University Press, Oxford, 1994).
  21. P. S. Stephanou, C. Baig, and V. G. Mavrantzas, A generalized differential constitutive equation for polymer melts based on principles of nonequilibrium thermodynamics, J. Rheol. 53, 309 (2009).
  22. O. Hassager and C. Bisgaard, A Lagrangian finite element method for the simulation of flow of non-Newtonian liquids, J. Non-Newtonian Fluid Mech. 12, 153 (1983).
  23. H. K. Rasmussen and O. Hassager, Simulation of transient viscoelastic flow, J. Non-Newtonian Fluid Mech. 46, 289 (1993).
  24. H. K. Rasmussen and O. Hassager, Simulation of transient viscoelastic flow with second order time integration, J. Non-Newtonian Fluid Mech. 56, 65 (1995).
  25. S. Varchanis, A. Syrakos, Y. Dimakopoulos, and J. Tsamopoulos, A new finite element formulation for viscoelastic flows: Circumventing simultaneously the LBB condition and the high-Weissenberg number problem, J. Non-Newtonian Fluid Mech. 267, 78 (2019).
  26. S. Varchanis, A. Syrakos, Y. Dimakopoulos, and J. Tsamopoulos, PEGAFEM-V: A new Petrov-Galerkin finite element method for free surface viscoelastic flows, J. Non-Newtonian Fluid Mech. 284, 104365 (2020).
  27. R. Schach and C. Creton, Adhesion at interfaces between highly entangled polymer melts, J. Rheol. 52, 749 (2008).
  28. H. R. Warner, Jr., Kinetic theory and rheology of dilute suspensions of finitely extendible dumbbells, Ind. Eng. Chem. Fundam. 11, 379 (1972).
  29. J. T. Padding, L. V. Mohite, D. Auhl, T. Scheizer, W. J. Briels, and C. Bailly, Quantitative mesoscale modeling of the oscillatory and transient shear rheology and the extensional rheology of pressure sensitive adhesives, Soft Matter 8, 7967 (2012).
  30. C. Liu, J. He, E. van Ruymbeke, R. Keunings, and C. Bailly, Evaluation of different methods for the determination of the plateau modulus and the entanglement molecular weight, Polymer 47, 4461 (2006).
  31. S. Varchanis, Y. Dimakopoulos, and J. Tsamopoulos, Evaluation of tube models for linear entangled polymers in simple and complex flows, J. Rheol. 62, 25 (2018).
  32. S. Varchanis, G. Makrigiorgos, P. Moschopoulos, Y. Dimakopoulos, and J. Tsamopoulos, Modeling the rheology of thixotropic elasto-visco-plastic materials, J. Rheol. 63, 609 (2019).
  33. A. E. Likhtman and R. S. Graham, Simple constitutive equation for linear polymer melts derived from molecular theory: Rolie–Poly equation, J. Non-Newtonian Fluid Mech. 114, 1 (2003).
  34. G. Marrucci and G. Ianniruberto, Flow-induced orientation and stretching of entangled polymers, Philos. Trans. R. Soc. London, Ser. A 361, 677 (2003).
  35. S. F. Christensen and G. H. McKinley, Rheological modelling of the peeling of pressure-sensitive adhesives and other elastomers, Int. J. Adhes. Adhes. 18, 333 (1998).
  36. T. J. R. Hughes, L. P. Franca, and M. Balestra, A new finite element formulation for computational fluid dynamics: V. Circumventing the Babuška-Brezzi condition: A stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpolations, Comput. Meth. Appl. Mech. Eng. 59, 85 (1986).
  37. T. E. Tezduyar, Stabilized finite element formulations for incompressible flow computations, Adv. Appl. Mech. 28, 1 (1992).
  38. J. Sun, M. D. Smith, R. C. Armstrong, and R. A. Brown, Finite element method for viscoelastic flows based on the discrete adaptive viscoelastic stress splitting and the discontinuous Galerkin method: DAVSS-G/DG, J. Non-Newtonian Fluid Mech. 86, 281 (1999).
  39. T. E. Tezduyar, Computation of moving boundaries and interfaces and stabilization parameters, Int. J. Numer. Meth. Fluids 43, 555 (2003).
  40. J. M. R. Marín and H. K. Rasmussen, Lagrangian finite element method for 3D time-dependent non-isothermal flow of K-BKZ fluids, J. Non-Newtonian Fluid Mech. 162, 45 (2009).
  41. A. Fasano and H. K. Rasmussen, A third order accurate Lagrangian finite element scheme for the computation of generalized molecular stress function fluids, J. Non-Newtonian Fluid Mech. 246, 10 (2017).
  42. J. J. Droux and T. J. R. Hughes, A boundary integral modification of the Galerkin least squares formulation for the Stokes problem, Comput. Meth. Appl. Mech. Eng. 113, 173 (1994).
  43. A. Syrakos, S. Varchanis, Y. Dimakopoulos, A. Goulas, and J. Tsamopoulos, A critical analysis of some popular methods for the discretisation of the gradient operator in finite volume methods, Phys. Fluids 29, 127103 (2017).
  44. M. A. Hulsen, R. Fattal, and R. Kupferman, Flow of viscoelastic fluids past a cylinder at high Weissenberg number: Stabilized simulations using matrix logarithms, J. Non-Newtonian Fluid Mech. 127, 27 (2005).
  45. J. Schoberl, NETGEN An advancing front 2D/3D-mesh generator based on abstract rules, Comput. Visualization Sci. 1, 41 (1997).
  46. J. Papaioannou, G. Karapetsas, Y. Dimakopoulos, and J. Tsamopoulos, Injection of a viscoplastic material inside a tube or between two parallel disks: Conditions for wall detachment of the advancing front, J. Rheol. 53, 1155 (2009).
  47. Y. Dimakopoulos and J. Tsamopoulos, On the transient coating of a straight tube with a viscoelastic material, J. Non-Newtonian Fluid Mech. 159, 95 (2009).
  48. P. P. Bhat, O. A. Basaran, and M. Pasquali, Dynamics of viscoelastic liquid filaments: Low capillary number flows, J. Non-Newtonian Fluid Mech. 150, 211 (2008).
  49. A. Bach, H. K. Rasmussen, P.-Y. Longina, and O. Hassager, Growth of non-axisymmetric disturbances of the free surface in the filament stretching rheometer: experiments and simulation, J. Non-Newtonian Fluid Mech. 108, 163 (2002).
  50. J. M. R. Marín and H. K. Rasmussen, Lagrangian finite–element method for the simulation of K-BKZ fluids with third order accuracy, J. Non-Newtonian Fluid Mech. 156, 177 (2009).
  51. K. Foteinopoulou, V. Mavrantzas, and J. Tsamopoulos, Numerical simulation of bubble growth in Newtonian and viscoelastic filaments undergoing stretching, J. Non-Newtonian Fluid Mech. 122, 177 (2004).
  52. R. B. Bird, R. C. Armstrong, and O. Hassager, Dynamics of Polymeric Liquids, 2nd ed. (Wiley, New York, 1987).
  53. R. G. Larson, The Structure and Rheology of Complex Fluids (Oxford University, New York, 1999).
  54. H. M. Laun, M. Rady, and O. Hassager, Analytical solutions for squeeze flow with partial wall slip, J. Non-Newtonian Fluid Mech. 81, 1 (1999).
  55. F. Deplace, M. A. Rabjohns, T. Yamaguchi, A. B. Foster, C. Carelli, C.-H. Lei, K. Ouzineb, J. L. Keddie, P. A. Lovell, and C. Creton, Deformation and adhesion of a periodic soft–soft nanocomposite designed with structured polymer colloid particles, Soft Matter 5, 1440 (2009).
  56. R. Long, K. Mayumi, C. Creton, T. Narita, and C.-Y. Hui, Time dependent behavior of a dual cross-link self-healing gel: Theory and experiments, Macromolecules 47, 7243 (2014).
  57. C. Creton, 50th anniversary perspective: Networks and gels: Soft but dynamic and tough, Macromolecules 50, 8297 (2017).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation