Sequential homogenization in Laplace Domain for viscoelastic properties of composites with functionally graded interphase
Source abstract
Abstract
Abstract A novel sequential homogenization scheme based on a multi-coated model was proposed to investigate viscoelastic properties of composite with functionally graded interphase. After investigating strain disturbance within the multi-coated model, the established sequential homogenization scheme contains two steps: Virtual adding by Self-Consistency scheme and Sequentially homogenization by Mori-Tanaka scheme. During homogenization, matrix was assumed to obey General Maxwell viscoelastic constitutive law and interphase is related to the matrix. Effectiveness of the present method was verified by the available experimental results and finite element simulations. Furthermore, effects of the reinforcement and the functionally graded interphase on storage and loss modulus with various load frequencies were studied. It was found that thickness and properties of the interphase influences loss factor in middle frequency ranges. In the end, responses under stress relaxation and constant strain rate were explored.
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Research context
OpenAlex topics: Mechanical Behavior of Composites · Composite Material Mechanics · Composite Structure Analysis and Optimization
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (47)
Show source-provided references
1. Creep behavior of GFRP laminates and their phases: Experimental investigation and analytical modeling10.1016/j.compositesb.2017.04.015 ↗
2. Transverse viscoelastic properties of pulp fibers investigated with an atomic force microscopy method10.1007/s10853-019-03707-1 ↗
3. Fiber-matrix interphase in applied short glass fiber composites determined by a nano-scratch method10.1016/j.compscitech.2015.10.004 ↗
4. Thermo-electro-mechanical modeling, simulation and experiments of field-assisted sintering10.1007/s10853-019-03653-y ↗
5. Numerical multiscale homogenization approach for linearly viscoelastic 3D interlock woven composites10.1016/j.ijsolstr.2018.12.018 ↗
6. Jianyou Zhou, Liying Jiang, Roger E. Khayat. A micro–macro constitutive model for finite-deformation viscoelasticity of elastomers with nonlinear viscosity. J Mech Phys Solids 2018;110:137–154. doi: 10.1016/j.jmps.2017.09.01610.1016/j.jmps.2017.09.016 ↗
7. Micromechanical modeling of viscoelastic properties of carbon nanotube-reinforced polymer composites10.1080/15376490600583931 ↗
8. Creep phenomena in FRP materials10.1016/j.mechrescom.2012.03.010 ↗
9. Homogenization of viscoelastic-matrix fibrous composites with square-lattice reinforcement10.1007/s00419-011-0526-z ↗
10. Numerical predictions of the anisotropic viscoelastic response of uni-directional fibre composites10.1016/j.compositesa.2016.10.029 ↗
11. Modeling of the cyclic behavior of elastic–viscoplastic composites by the additive tangent Mori–Tanaka approach and validation by finite element calculations10.1016/j.ijsolstr.2014.12.002 ↗
12. On the overall viscoelastic behavior of graphene/polymer nanocomposites with imperfect interface10.1016/j.ijengsci.2016.04.006 ↗
13. Homogenization of elastic–viscoplastic heterogeneous materials: Self-consistent and Mori-Tanaka schemes10.1016/j.ijplas.2008.08.006 ↗
14. Yuanqing Liu, Wenzhong Wang, Ziqiang Zhao, Haibo Zhang. The effect of meso-structure and surface topography on the indentation variability of viscoelastic composite materials. Compos Struct 2019;220: 81–92. DOI: 10.1016/j.compstruct.2019.03.07110.1016/j.compstruct.2019.03.071 ↗
15. Effect of fibre shape and interphase on the anisotropic viscoelastic response of fibre composites10.1016/j.compstruct.2016.11.046 ↗
16. Behrouz Arash, Wibke Exner, Raimund Rolfes. A viscoelastic damage model for nanoparticle/epoxy nanocomposites at finite strain: A multiscale approach. J Mech Phys Solids 2019;128:162–80. DOI: 10.1016/j.jmps.2019.04.00410.1016/j.jmps.2019.04.004 ↗
17. Finite element estimates of viscoelastic stiffness of short glass fiber reinforced composites10.1016/j.compstruct.2017.03.021 ↗
18. Nonlinear tensile behaviour of elementary hemp fibres: a numerical investigation of the relationships between 3D geometry and tensile behavior10.1007/s10853-017-0896-x ↗
19. Homogenization of a thermo-chemo-viscoelastic Kelvin-Voigt model10.1063/1.4813106 ↗
20. Micromechanical modeling of the linear viscoelasticity of carbon-black filled styrene butadiene rubbers: The role of the filler–rubber interphase10.1016/j.mechmat.2012.12.007 ↗
21. Creep and creep buckling of pultruded glass-reinforced polymer members10.1016/j.compstruct.2017.08.098 ↗
22. A second-moment incremental formulation for the mean-field homogenization of elasto-plastic composites10.1016/j.ijplas.2010.06.004 ↗
23. An extension of the self-consistent scheme to plastically-flowing polycrystals10.1016/0022-5096(78)90003-0 ↗
24. An affine formulation for the prediction of the effective properties of nonlinear composites and polycrystals10.1016/S0022-5096(99)00071-X ↗
25. Lamina properties, lay-up configurations and loading conditions for a range of fibre-reinforced composite laminates10.1016/S0266-3538(98)00078-5 ↗
26. Anqi Hu, Xiaolin Li, Amin Ajdari, Bing Jiang, Craig Burkhart, Wei Chen, L. Catherine Brinson. Computational analysis of particle reinforced viscoelastic polymer nanocomposites –statistical study of representative volume element. J Mech Phys Solids 2018;114:55–74. DOI: 10.1016/j.jmps.2018.02.01310.1016/j.jmps.2018.02.013 ↗
27. Micromechanics-based viscoelastic analysis of carbon nanotube-reinforced composites subjected to uniaxial and biaxial loading10.1016/j.compositesb.2015.10.048 ↗
28. Application of radial basis neural network to transform viscoelastic to elastic properties for materials with multiple thermal transitions10.1007/s10853-019-03481-0 ↗
29. Wang, X, Shi, ZK, Meng, FD, Zhao, Y, Wu, ZS, Lei, YF, Xue, LJ (Xue, Longjian).
30. Temperature dependence of creep and recovery behaviors of polymer composites filled with chemically reduced graphene oxide10.1016/j.compositesa.2014.11.031 ↗
31. Percolation networks and transient rheology of polylactide composites containing graphite nanosheets with various thicknesses10.1016/j.polymer.2015.04.076 ↗
32. Casper Schousboe Andreasen, Erik Andreassen, Jakob Søndergaard Jensen, Ole Sigmund. On the realization of the bulk modulus bounds for two-phase viscoelastic composites. J Mech Phys Solids 2014;63:228–41. DOI: 10.1016/j.jmps.2013.09.00710.1016/j.jmps.2013.09.007 ↗
33. Qu J. Eshelby tensor for an elastic inclusion with slightly weakened interface. J Appl Mech 1993;60:1048–50. DOI:10.1115/1.290097410.1115/1.2900974 ↗
34. Homogenization of the viscoelastic heterogeneous materials with multi-coated reinforcements: an internal variables formulation10.1007/s00419-014-0828-z ↗
35. Interface effects on the viscoelastic characteristics of carbon nanotube polymer matrix composites10.1016/j.mechmat.2012.10.015 ↗
36. The-Duong Nguyen, Sy-Tuan Nguyen, Thu-Hien Tran. An asymptotic generalized self-consistent scheme for the effective rheological properties of viscoelastic composites. Mech Adv Mater Struct 2019;26(23):1969–80. DOI: 10.1080/15376494.2018.145593610.1080/15376494.2018.1455936 ↗
37. A simple yet accurate method to model the effective elastic and transport properties of particulate and fiber composites10.1016/j.compstruct.2018.11.010 ↗
38. Minh-Quan Thai, Tuan Nguyen-Sy, Jad Wakim, Minh-Ngoc Vu, Quy-Dong To, The-Duong Nguyen, Thoi-Trung Nguyen. A robust homogenization method for ageing and non-ageing viscoelastic behavior of early age and hardened cement pastes. Constr Build Mater 2020;264:120264. DOI: 10.1016/j.conbuildmat.2020.12026410.1016/j.conbuildmat.2020.120264 ↗
39. Viscoelastic interphases in polymer–matrix composites: theoretical models and finite-element analysis10.1016/S0266-3538(01)00002-1 ↗
40. Micromechanics-based thermo-viscoelastic properties prediction of fiber reinforced polymers with graded interphases and slightly weakened interfaces10.1016/j.compstruct.2017.02.059 ↗
41. Maoyan Zhang, Ke-zhi Li, Xiao-hong Shi,Wen-long Tan. Effects of SiC interphase on the mechanical and ablation properties of C/C-ZrC-ZrB2-SiC composites prepared by precursor infiltration and pyrolysis. Mater Des 2017;122:322–9. DOI: 10.1016/j.matdes.2017.02.08610.1016/j.matdes.2017.02.086 ↗
42. Mura T. Micromechanics of Defects in Solids [M]. Springer.
43. Micromechanics of particle-reinforced elasto-viscoplastic composites: Finite element simulations versus affine homogenization10.1016/j.ijplas.2006.09.003 ↗
44. Large deformation response of a hyperelastic fibre reinforced composite: Theoretical model and numerical validation10.1016/j.compositesa.2007.04.004 ↗
45. Elastic behavior of multiply coated fiber-reinforced composites10.1016/0020-7225(95)00008-L ↗
46. Dimitrios Anagnostou, George Chatzigeorgiou, Yves Chemisky, Fodil Meraghni. Hierarchical micromechanical modeling of the viscoelastic behavior coupled to damage in SMC and SMC-hybrid composites. Compos Part B 2018;151:8–24. DOI: 10.1016/j.compositesb.2018.05.05310.1016/j.compositesb.2018.05.053 ↗
47. Marc Schöneich, Florence Dinzart , Hafid Sabar , Stéphane Berbenni, Markus Stommel. A coated inclusion-based homogenization scheme for viscoelastic composites with interphases. Mech Mater 2017;105:89–98. DOI: 10.1016/j.mechmat.2016.11.00910.1016/j.mechmat.2016.11.009 ↗