Experimental and theoretical investigation of nonlinear viscoelastic polyurethane systems
Source abstract
Abstract
The non-linear viscoelastic behaviour of a polyurethane (PUR) network is determined by continuous uniaxial tension tests and stepwise relaxation tests. Following the concept of internal variables on the modelling side, the finite Neo-Hookean material model combined with linear evolution equations for the internal variables is applied to include the time-dependence caused by viscoelasticity. The parameters are identified by an evolution strategy combined with a non-linear finite element analysis which solves the boundary value problem given by the specimen geometry and testing conditions. In conclusion, the combination of the described experiments and modelling provides a full description of the mechanical behaviour of the given PUR.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Elasticity and Material Modeling · Polymer composites and self-healing · Polymer Nanocomposites and Properties
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (52)
Show source-provided references
1. Amin AFMS, Alam MS, Okui Y (2002) Mech Mater 34:7510.1016/S0167-6636(01)00102-8 ↗
2. Amin AFMS, Alam MS, Okui Y (2003) J Test Eval 31(6):52410.1520/JTE12381J ↗
3. Amin AFMS, Lion A, Sekita S, Okui Y (2006) Int J Plasticity 22:161010.1016/j.ijplas.2005.09.005 ↗
4. Batal J (2002) Möglichkeiten zur Messung der Haftkraft einer strukturierten Polymeroberfläche. Universität des Saarlandes, Saarbrücken
5. Batal J (2004) Haftkraftmessung an biomimetisch strukturierten Polymeroberflächen. Universität des Saarlandes, Saarbrücken
6. Braess D (1997) Finite Elemente. Springer, Berlin10.1007/978-3-662-07233-2 ↗
7. Bergstrom JS, Boyce MC (1998) J Mech Phys Solids 56(5):93110.1016/S0022-5096(97)00075-6 ↗
8. Boyce MC, Arruda EM (2000) Rubber Chem Technol 73:50410.5254/1.3547602 ↗
9. Bergstrom JS, Boyce MC (2000) Mech Mater 32:62710.1016/S0167-6636(00)00028-4 ↗
10. Bergstrom JS, Boyce MC (2001) Macromolecules 34(3):61410.1021/ma0007942 ↗
11. Bergstrom JS, Boyce MC (2001) Mech Mater 33:52310.1016/S0167-6636(01)00070-9 ↗
12. Coleman B, Noll W (1963) Arch Ration Mech Anal 13:16710.1007/BF01262690 ↗
13. Diebels S, Ellsiepen P, Ehlers W (1999) Tech Mech 19:19
14. Dzierza W (1978) J Appl Polym Sci 22:133110.1002/app.1978.070220514 ↗
15. Ehlers W, Ellsiepen P, PANDAS: Ein FE-System zur Simulation von Sonderproblemen der Bodenmechanik. Ernst & Sohn, Berlin 1998, p 400
16. Ellsiepen P, Hartmann S (2001) Int J Numer Meth Eng 51:67910.1002/nme.179.abs ↗
17. Furukawa T, Yagawa G (1997) Int J Numer Meth Eng 40:107110.1002/(SICI)1097-0207(19970330)40:6<1071::AID-NME99>3.0.CO;2-8 ↗
18. Haupt P (2000) Continuum mechanics and theory of materials. Springer, Berlin10.1007/978-3-662-04109-3 ↗
19. Haupt P, Lion A, Backhaus E (2000) Int J Solids Struct 37:363310.1016/S0020-7683(99)00165-1 ↗
20. Haupt P, Lion A (2002) Acta Mech 159:8710.1007/BF01171450 ↗
21. Khan AS, Lopez-Pamies O, Kazmi R (2006) Int J Plasticity 22:58110.1016/j.ijplas.2005.08.001 ↗
22. Keck J (1998) Zur Beschreibung finiter Deformationen von Polymeren, Experimente, Modellbildung, Parameteridentifikation und Finite-Elemente-Formulierung. Bericht-Nr. I-5 des Instituts für Mechanik (Bauwesen), Stuttgart
23. Kröner E (1960) Arch Ration Mech Anal 4:27310.1007/BF00281393 ↗
24. Laiarinandrasana L, Piques R, Robisson A (2003) Int J Plasticity 19:97710.1016/S0749-6419(02)00089-X ↗
25. Lee EH, Liu DT (1967) J Appl Phys 38:1910.1063/1.1708953 ↗
26. Lee EH (1969) J Appl Mech 36:110.1115/1.3564580 ↗
27. Leterrier Y, G’sell C (1988) J Mater Sci 23:420910.1007/BF00551910 ↗
28. Lion A (1996) Continuum Mech Therm 8:15310.1007/BF01181853 ↗
29. Lion A (1997) Acta Mech 123:110.1007/BF01178397 ↗
30. Lion A (1999) Rubber Chem Technol 72: 41010.5254/1.3538811 ↗
31. Lion A, Thermomechanik von Elastomeren. Bericht-Nr. 1/2000 des Instituts für Mechanik, Kassel 2000
32. Lubliner J (1985) Mech Res Commun 12:9310.1016/0093-6413(85)90075-8 ↗
33. Mahnken R (1996) Int J Plasticity 12:45110.1016/S0749-6419(95)00016-X ↗
34. Miehe C, Keck J (2000) J Mech Phys Solids 48:32310.1016/S0022-5096(99)00017-4 ↗
35. Miehe C, Göktepe S, Lulei F (2004) J Mech Phys Solids 52:261710.1016/j.jmps.2004.03.011 ↗
36. Miehe C, Göktepe S (2005) J Mech Phys Solids 53:223110.1016/j.jmps.2005.04.006 ↗
37. Göktepe S, Miehe C (2005) J Mech Phys Solids 53:225910.1016/j.jmps.2005.04.010 ↗
38. Mooney M (1940) J Appl Phys 11:58210.1063/1.1712836 ↗
39. Müller D, Hartmann G (1989) J Eng Mater Technol 111:29910.1115/1.3226470 ↗
40. Partom Y (1983) Polym Eng Sci 23:84910.1002/pen.760231511 ↗
41. Randrianantoandro H, Nicolai T, Duront D, Prochazka F (1997) Macromolecules 30:589310.1021/ma961792d ↗
42. Rechenberg I (1973) Evolutionsstrategie: optimierung technischer Systeme nach Prinzipien der biologischen Evolution. Frommann-Holzboog, Stuttgart
43. Reese S (2001) Thermomechanische Modellierung gummiartiger Polymerstrukturen. F01/4 Institut für Baumechanik und Numerische Mechanik, Hannover
44. Reese S, Govindjee S (1998) Mech Time-Depend Mater 1:35710.1023/A:1009795431265 ↗
45. Reese S, Govindjee S (1998) Int J Solids Struct 35:345510.1016/S0020-7683(97)00217-5 ↗
46. Reese S, Wriggers P (1997) Comput Methods Appl Mech Eng 148:27910.1016/S0045-7825(97)00034-0 ↗
47. Reese S, Wriggers P (1999) In: Dorfmann A, Muhr A (eds) Modelling of the thermomechanical material behaviour of rubber-like polymers–micromechanical motivation and numerical simulation. Proceedings of the First European Conference on Constitutive Models for Rubber, Rotterdam, p 13
48. Rivlin RS (1947) Phil Trans R Soc Lond A 241:37910.1098/rsta.1948.0024 ↗
49. Scheday G, Theorie und Numerik der Parameteridentifikation von Materialmodellen der finiten Elastizität und Inelastizität auf der Grundlage optischer Feldmessmethoden. Bericht-Nr. I-11 des Instituts für Mechanik (Bauwesen), Stuttgart 2003
50. Schwefel HP (1995) Evolution and optimum seeking. Wiley, New York
51. Tallec PL, Kaiss A, Rahier C (1994) Int J Numer Meth Eng 37:115910.1002/nme.1620370705 ↗
52. Treloar LR (1976) Proc R Soc Lond A 351:30110.1098/rspa.1976.0144 ↗