Deformation behavior of an epoxy resin subject to multiaxial loadings. Part II: Constitutive modeling and predictions
Based on the experimental data presented in Part I, a nonlinear viscoelastic constitutive model, in differential form, is presented here. A distinctive feature of this model is the inclusion of a criterion to delineate loading and unloading in multiaxial stress states, and different moduli for loadi...
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| Published in | Polymer engineering and science Vol. 43; no. 3; pp. 734 - 748 |
|---|---|
| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Hoboken
Wiley Subscription Services, Inc., A Wiley Company
01.03.2003
Wiley Subscription Services Society of Plastics Engineers, Inc Blackwell Publishing Ltd |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0032-3888 1548-2634 |
| DOI | 10.1002/pen.10061 |
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| Abstract | Based on the experimental data presented in Part I, a nonlinear viscoelastic constitutive model, in differential form, is presented here. A distinctive feature of this model is the inclusion of a criterion to delineate loading and unloading in multiaxial stress states, and different moduli for loading and unloading behaviors. In addition, the model contains only five material constants and one modulus function, which can be calibrated in accordance with a well‐defined procedure. A comparison with the experimental data shows that the current differential model is capable of predicting the nonlinear viscoelastic behavior of the epoxy polymer qualitatively and quantitatively, including both the loading and unloading behavior. The predictions of an integral form of constitutive model are also included for comparative purposes. |
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| AbstractList | Based on the experimental data presented in Part I, a nonlinear viscoelastic constitutive model, in differential form, is presented here. A distinctive feature of this model is the inclusion of a criterion to delineate loading and unloading in multiaxial stress states, and different moduli for loading and unloading behaviors. In addition, the model contains only five material constants and one modulus function, which can be calibrated in accordance with a well-defined procedure. A comparison with the experimental data shows that the current differential model is capable of predicting the nonlinear viscoelastic behavior of the epoxy polymer qualitatively and quantitatively, including both the loading and unloading behavior. The predictions of an integral form of constitutive model are also included for comparative purposes. |
| Audience | Academic |
| Author | Hu, Yafei Xia, Zihui Ellyin, Fernand |
| Author_xml | – sequence: 1 givenname: Zihui surname: Xia fullname: Xia, Zihui email: Zihui.Xia@ualberta.ca organization: Advanced Composite Materials Engineering Group Department of Mechanical Engineering University of Alberta Edmonton, Alberta, Canada T6G 2G8 – sequence: 2 givenname: Yafei surname: Hu fullname: Hu, Yafei organization: Advanced Composite Materials Engineering Group Department of Mechanical Engineering University of Alberta Edmonton, Alberta, Canada T6G 2G8 – sequence: 3 givenname: Fernand surname: Ellyin fullname: Ellyin, Fernand organization: Advanced Composite Materials Engineering Group Department of Mechanical Engineering University of Alberta Edmonton, Alberta, Canada T6G 2G8 |
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| Cites_doi | 10.1016/0045-7949(95)00021-8 10.1007/BF02133100 10.1002/pen.760090410 10.1016/S0020-7683(99)00099-2 10.1002/pen.11684 10.1002/pen.760270113 10.1007/BF00369936 10.1177/002199837100500206 10.1016/0020-7403(68)90022-2 10.1177/002199801772662145 10.1115/1.2812255 10.1177/147823919800600202 10.1080/15321797508068145 |
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| Keywords | Compressive stress Tensile stress Creep Stress strain relation Non linear viscoelasticity Mechanical properties Shear stress Epoxy resin Experimental study Multiaxial load Modeling |
| Language | English |
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| References_xml | – reference: Y. Hu, Z. Xia, and F. Ellyin, Polym. Polym. Compos., 8, 157 (2000). – reference: I. M. Ward, Mechanical Properties of Solid Polymers, Wiley, New York (1983). – reference: F. Ellyin, Z. Xia, and J. Wu, Comput. Struct., 56, 283 (1995). – reference: Y. C. Lou and R. A. Schapery, J. Compos. Mater., 5, 208 (1971). – reference: Z. Xia and F. Ellyin, Polym. Polym. Compos., 6, 75 (1998). – reference: Y. Chen, Z. Xia, and F. Ellyin, J. Compos. Mater., 35, 522 (2001). – reference: R. A. Schapery, Int. J. Solids Struct., 37, 359 (2000). – reference: C. Zhang and D. Moore, Polym. Eng. Sci., 37, 414 (1997). – reference: K. D. Pae and S. K. Bhateja, J. Macromol. Sci. Rev. Macromol. Chem., C13, 1 (1975). – reference: W. G. Knauss and I. Emri, Polym. Eng. Sci., 27, 86 (1987). – reference: O. C. Zienkiewicz, M. Watson, and I. P. King, Int. J. Mech. Sci., 10, 807 (1968). – reference: J. Lai and A. Bakker, Comput. Mech., 18, 182 (1996). – reference: R. A. Schapery, Polym. Eng. Sci., 9, 295 (1969). – reference: S. Yi and H. H. Hilton, Trans. ASME J. Eng. Mater. Technol., 119, 266 (1997). – reference: F. Stassi-D'Alia, Meccanica, 4, 349 (1969). – volume: 18 start-page: 182 year: 1996 publication-title: Comput. Mech. – volume: 10 start-page: 807 year: 1968 publication-title: Int. J. Mech. Sci. – year: 1983 – volume: 27 start-page: 86 year: 1987 publication-title: Polym. Eng. Sci. – volume: 37 start-page: 414 year: 1997 publication-title: Polym. Eng. Sci. – volume: C13 start-page: 1 year: 1975 publication-title: J. Macromol. Sci. Rev. Macromol. Chem. – volume: 35 start-page: 522 year: 2001 publication-title: J. Compos. Mater. – volume: 56 start-page: 283 year: 1995 publication-title: Comput. Struct. – year: 2002 – volume: 119 start-page: 266 year: 1997 publication-title: Trans. ASME J. Eng. Mater. Technol. – volume: 37 start-page: 359 year: 2000 publication-title: Int. J. Solids Struct. – volume: 6 start-page: 75 year: 1998 publication-title: Polym. Polym. Compos. – volume: 5 start-page: 208 year: 1971 publication-title: J. Compos. Mater. – volume: 4 start-page: 349 year: 1969 publication-title: Meccanica – volume: 9 start-page: 295 year: 1969 publication-title: Polym. Eng. Sci. – volume: 8 start-page: 157 year: 2000 publication-title: Polym. Polym. Compos. – ident: e_1_2_1_15_2 doi: 10.1016/0045-7949(95)00021-8 – ident: e_1_2_1_16_2 doi: 10.1007/BF02133100 – volume: 8 start-page: 157 year: 2000 ident: e_1_2_1_7_2 publication-title: Polym. Polym. Compos. – volume-title: Mechanical Properties of Solid Polymers year: 1983 ident: e_1_2_1_13_2 – ident: e_1_2_1_17_2 doi: 10.1002/pen.760090410 – ident: e_1_2_1_10_2 doi: 10.1016/S0020-7683(99)00099-2 – ident: e_1_2_1_12_2 doi: 10.1002/pen.11684 – ident: e_1_2_1_2_2 – ident: e_1_2_1_5_2 doi: 10.1002/pen.760270113 – ident: e_1_2_1_11_2 doi: 10.1007/BF00369936 – ident: e_1_2_1_6_2 doi: 10.1177/002199837100500206 – ident: e_1_2_1_9_2 doi: 10.1016/0020-7403(68)90022-2 – ident: e_1_2_1_3_2 doi: 10.1177/002199801772662145 – ident: e_1_2_1_18_2 – ident: e_1_2_1_4_2 doi: 10.1115/1.2812255 – volume: 6 start-page: 75 year: 1998 ident: e_1_2_1_8_2 publication-title: Polym. Polym. Compos. doi: 10.1177/147823919800600202 – ident: e_1_2_1_14_2 doi: 10.1080/15321797508068145 |
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| SubjectTerms | Applied sciences Epoxy resins Exact sciences and technology Measurement Mechanical properties Physical properties Polymer industry, paints, wood Properties and testing Technology of polymers Viscoelasticity |
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| Title | Deformation behavior of an epoxy resin subject to multiaxial loadings. Part II: Constitutive modeling and predictions |
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