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| PREDICTION OF THE VISCOELASTIC PROPERTIES OF THE EQUIVALENT PARTICLE FOR THE INTERCALATED MULTI-LAYER STACK OF NANOPLASTICS | |
| 作者姓名： | Weimin Zhang Ping Zhang Xuhui Deng Chunyuan Zhang |
| 作者单位： | College of Civil Engineering and Mechanics，Xiangtan University，Xiangtan 411105，China |
| 基金项目： | Project supported by the National Natural Science Foundation of China (Grant Nos.10672138 and 10372087). |
| 摘 要： | The aim of this paper is to apply the asymptotic homogenization method to deter- mining analytically and numerically the transversely isotropic viscoelastic relaxation moduli of the equivalent particle for the intercalated multi-layer stack of intercalated type nanoplastics.A two-phase multilayered material containing n layers is considered.The matrix is assumed to be an isotropic viscoelastic standard linear body and the reinforcement is assumed to be an isotropic elastic body.Final explicit analytical formulae for the effective elastic moduli of the multilay- ered material are derived first;and then the correspondence principle is employed to obtain the homogenized relaxation moduli of the equivalent intercalated particle.A numerical example is given.Final explicit analytical formulae in the time domain derived here make it convenient to estimate the influence of all the particle parameters of micro-structural details on the effective properties of the equivalent intercalated particle.The results of this paper can also be applied to multi-layer composites. |
| 关 键 词： | 粘弹性 力学性质 纳米复合材料 纳米修复技术 |
| 收稿时间： | 2007-03-15 |
| 修稿时间： | 2007-11-23 |
PREDICTION OF THE VISCOELASTIC PROPERTIES OF THE EQUIVALENT PARTICLE FOR THE INTERCALATED MULTI-LAYER STACK OF NANOPLASTICS |
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| Weimin Zhang Ping Zhang Xuhui Deng Chunyuan Zhang.PREDICTION OF THE VISCOELASTIC PROPERTIES OF THE EQUIVALENT PARTICLE FOR THE INTERCALATED MULTI-LAYER STACK OF NANOPLASTICS[J].Acta Mechanica Solida Sinica,2007,20(4):317-323. | |
| Authors: | Weimin Zhang Ping Zhang Xuhui Deng Chunyuan Zhang |
| Institution: | 1. Liaoning Shihua University, School of Mechanical Engineering, Fushun 113001, PR China;2. Liaoning Shihua University, School of Mining Engineering, Fushun 113001, PR China;1. Department of Chemical Engineering, University of Alcalá, 28871 Alcalá de Henares, Madrid, Spain;2. Advanced Study Institute of Madrid, IMDEA Agua, Parque Científico Tecnológico, 28805 Alcalá de Henares, Madrid, Spain;3. Spanish National Institute for Agricultural and Food Research and Technology – INIA, Crta. de la Coruña, km 7.5, 28040 Madrid, Spain;4. Pesticide Residue Research Group, Department of Hydrogeology and Analytical Chemistry, University of Almería, 04120 Almería, Spain;1. KLGHEI of Environment and Energy Chemistry, School of Chemistry, Sun Yat-sen University, Guangzhou 510275, China;2. Guangdong Key Laboratory of Environmental Pollution and Health, School of Environment, Jinan University, Guangzhou 510632, China;3. College of Chemistry & Molecular Engineering, Center of Advanced Analysis and Computational Science, Zhengzhou University, Zhengzhou 450001, China;1. Faculty of Mechanical Engineering, Brno University of Technology, Technická 2, CZ-61669 Brno, Czech Republic;2. Central European Institute of Technology, Brno University of Technology, Technická 3058/10, CZ-61600 Brno, Czech Republic;3. Department of Materials Physics, Montanuniversität Leoben, Jahnstr. 12, A-8700 Leoben, Austria;4. Austrian Academy of Sciences, Erich Schmid Institute of Materials Science, Jahnstr. 12, A-8700 Leoben, Austria |
| Abstract: | The aim of this paper is to apply the asymptotic homogenization method to deter- mining analytically and numerically the transversely isotropic viscoelastic relaxation moduli of the equivalent particle for the intercalated multi-layer stack of intercalated type nanoplastics.A two-phase multilayered material containing n layers is considered.The matrix is assumed to be an isotropic viscoelastic standard linear body and the reinforcement is assumed to be an isotropic elastic body.Final explicit analytical formulae for the effective elastic moduli of the multilay- ered material are derived first;and then the correspondence principle is employed to obtain the homogenized relaxation moduli of the equivalent intercalated particle.A numerical example is given.Final explicit analytical formulae in the time domain derived here make it convenient to estimate the influence of all the particle parameters of micro-structural details on the effective properties of the equivalent intercalated particle.The results of this paper can also be applied to multi-layer composites. |
| Keywords: | viscoelasticity mechanical properties nanocomposites nanoplastics |
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