{"product_id":"mechanics-of-particle-and-fiberreinforced-polymer-nanocomposites-9781119653622","title":"Mechanics of Particle and FiberReinforced Polymer","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\u003cb\u003eLearn to model your own problems for predicting the properties of polymer-based composites\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003ci\u003eMechanics of Particle- and Fiber-Reinforced Polymer Nanocomposites: Nanoscale to Continuum Simulations\u003c\/i\u003e provides readers with a thorough and up-to-date overview of nano, micro, and continuum approaches for the multiscale modeling of polymer-based composites. Covering nanocomposite development, theoretical models, and common simulation methods, the text includes a variety of case studies and scripting tutorials that enable readers to apply and further develop the supplied simulations.\u003c\/p\u003e \u003cp\u003eThe book describes the foundations of molecular dynamics and continuum mechanics methods, guides readers through the basic steps required for multiscale modeling of any material, and correlates the results between the experimental and theoretical work performed. Focused primarily on nanocomposites, the methods covered in the book are applicable to various other materials such as carbon n\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003ePreface xiii\u003c\/p\u003e \u003cp\u003eBiography xvi\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Introduction \u003c\/b\u003e\u003cb\u003e1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Nanoparticle-Reinforced Composites 2\u003c\/p\u003e \u003cp\u003e1.2 Nanoplatelet-Reinforced Composites 3\u003c\/p\u003e \u003cp\u003e1.3 Nanofiber-Reinforced Composites 3\u003c\/p\u003e \u003cp\u003e1.4 Carbon Nanotube-Reinforced Composites 4\u003c\/p\u003e \u003cp\u003e1.5 Nanomaterials 5\u003c\/p\u003e \u003cp\u003e1.5.1 Woven Fabric 8\u003c\/p\u003e \u003cp\u003e1.5.2 Fibers 12\u003c\/p\u003e \u003cp\u003e1.5.3 Types of Fibers 15\u003c\/p\u003e \u003cp\u003e1.5.4 Boron Fiber 16\u003c\/p\u003e \u003cp\u003e1.5.5 Carbon Fiber 17\u003c\/p\u003e \u003cp\u003e1.5.5.1 Fabrication of C Fiber Using PAN 17\u003c\/p\u003e \u003cp\u003e1.5.5.2 Fabrication of C Fiber Using Pitch 19\u003c\/p\u003e \u003cp\u003e1.5.6 Glass Fiber 20\u003c\/p\u003e \u003cp\u003e1.5.7 Aramid (Kevlar) Fiber 22\u003c\/p\u003e \u003cp\u003e1.5.8 Matrices 24\u003c\/p\u003e \u003cp\u003e1.5.8.1 Polymer Matrix Composite 24\u003c\/p\u003e \u003cp\u003e1.5.8.2 Metal Matrix Composites 25\u003c\/p\u003e \u003cp\u003e1.5.8.3 Ceramic Matrix Composites 25\u003c\/p\u003e \u003cp\u003e1.6 Manufacturing Methods 26\u003c\/p\u003e \u003cp\u003e1.6.1 Polymer Matrix Composites 26\u003c\/p\u003e \u003cp\u003e1.6.1.1 Thermoset Matrix Composites 26\u003c\/p\u003e \u003cp\u003e1.6.1.2 Thermoplastic Matrix Composites 36\u003c\/p\u003e \u003cp\u003e1.6.2 Metal-Matrix Composites 38\u003c\/p\u003e \u003cp\u003e1.6.2.1 Liquid-State Processes 38\u003c\/p\u003e \u003cp\u003e1.6.2.2 Solid-State Processes 43\u003c\/p\u003e \u003cp\u003e1.6.2.3 In Situ Processes 47\u003c\/p\u003e \u003cp\u003e1.6.3 Ceramic Matrix Composites 47\u003c\/p\u003e \u003cp\u003e1.6.3.1 Cold Pressing and Sintering 47\u003c\/p\u003e \u003cp\u003e1.6.3.2 Hot Pressing 48\u003c\/p\u003e \u003cp\u003e1.6.3.3 Reaction Bonding 49\u003c\/p\u003e \u003cp\u003e1.6.3.4 Infiltration 50\u003c\/p\u003e \u003cp\u003e1.6.3.5 Polymer Infiltration and Pyrolysis 51\u003c\/p\u003e \u003cp\u003eReferences 54\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Literature Review of Different Modeling Methods \u003c\/b\u003e\u003cb\u003e55\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Material Development 55\u003c\/p\u003e \u003cp\u003e2.2 Nanostructured Materials 56\u003c\/p\u003e \u003cp\u003e2.3 Methods of Modeling 58\u003c\/p\u003e \u003cp\u003e2.3.1 Atomistic, Molecular Methods 59\u003c\/p\u003e \u003cp\u003e2.3.2 Coarse Grain Methods 60\u003c\/p\u003e \u003cp\u003e2.3.3 Continuum Methods 62\u003c\/p\u003e \u003cp\u003e2.3.4 Effective Continuum Approach 63\u003c\/p\u003e \u003cp\u003e2.4 Literature Review of Different Methods of Modeling 64\u003c\/p\u003e \u003cp\u003e2.4.1 Micromechanics\/FEM 64\u003c\/p\u003e \u003cp\u003e2.4.2 Effective Continuum 72\u003c\/p\u003e \u003cp\u003e2.4.3 Molecular Dynamics 73\u003c\/p\u003e \u003cp\u003e2.5 Conclusion 76\u003c\/p\u003e \u003cp\u003eReferences 77\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Modeling of Nanocomposites \u003c\/b\u003e\u003cb\u003e83\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Notation 84\u003c\/p\u003e \u003cp\u003e3.2 Average Properties 85\u003c\/p\u003e \u003cp\u003e3.3 Theoretical Models 86\u003c\/p\u003e \u003cp\u003e3.3.1 Cox Shear Lag Model 87\u003c\/p\u003e \u003cp\u003e3.3.2 Eshelby’s Equivalent Inclusion 91\u003c\/p\u003e \u003cp\u003e3.3.3 Dilute Eshelby’s Model 93\u003c\/p\u003e \u003cp\u003e3.3.4 Mori–Tanaka Model 94\u003c\/p\u003e \u003cp\u003e3.3.5 Chow Model 98\u003c\/p\u003e \u003cp\u003e3.3.6 Modified Halpin–Tsai or Finegan model 99\u003c\/p\u003e \u003cp\u003e3.3.7 Hashin–Shtrikman Model 104\u003c\/p\u003e \u003cp\u003e3.3.8 Lielens Model 106\u003c\/p\u003e \u003cp\u003e3.3.9 Self-Consistent Model 106\u003c\/p\u003e \u003cp\u003e3.3.10 Finite Element Modeling (FEM) 108\u003c\/p\u003e \u003cp\u003e3.3.10.1 Introduction 108\u003c\/p\u003e \u003cp\u003e3.3.10.2 Representative Volume Elements (RVEs) 109\u003c\/p\u003e \u003cp\u003e3.3.10.3 Modeling for \u003ci\u003eE\u003c\/i\u003e\u003csub\u003e11\u003c\/sub\u003e 112\u003c\/p\u003e \u003cp\u003e3.3.10.4 Modeling for \u003ci\u003eE\u003c\/i\u003e\u003csub\u003e22\u003c\/sub\u003e 117\u003c\/p\u003e \u003cp\u003e3.3.10.5 Modeling for \u003ci\u003eG\u003c\/i\u003e\u003csub\u003e23\u003c\/sub\u003e 123\u003c\/p\u003e \u003cp\u003e3.3.10.6 Modeling for \u003ci\u003eG\u003c\/i\u003e\u003csub\u003e31\u003c\/sub\u003e 127\u003c\/p\u003e \u003cp\u003e3.3.10.7 Theoritical Formulation 132\u003c\/p\u003e \u003cp\u003e3.3.10.8 Comparison of Results 132\u003c\/p\u003e \u003cp\u003e3.4 Fast Fourier Transform Numerical Homogenization Methods 143\u003c\/p\u003e \u003cp\u003e3.4.1 FFT-based Homogenization Method 145\u003c\/p\u003e \u003cp\u003e3.4.2 Implementation of FFT-based Homogenization Method 148\u003c\/p\u003e \u003cp\u003e3.5 Conclusion 149\u003c\/p\u003e \u003cp\u003eReferences 150\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Prediction of Mechanical Properties \u003c\/b\u003e\u003cb\u003e155\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Storage Moduli 155\u003c\/p\u003e \u003cp\u003e4.1.1 Longitudinal Storage Modulus (\u003ci\u003eE\u003c\/i\u003e′\u003csub\u003e11\u003c\/sub\u003e) 155\u003c\/p\u003e \u003cp\u003e4.1.1.1 Variation of \u003ci\u003eE\u003c\/i\u003e′\u003csub\u003e11\u003c\/sub\u003e with \u003ci\u003eV\u003c\/i\u003e\u003csub\u003ef\u003c\/sub\u003e 155\u003c\/p\u003e \u003cp\u003e4.1.1.2 Variation of \u003ci\u003eE\u003c\/i\u003e′\u003csub\u003e11 \u003c\/sub\u003ewith \u003ci\u003el\u003c\/i\u003e\/\u003ci\u003ed \u003c\/i\u003e157\u003c\/p\u003e \u003cp\u003e4.1.2 Transverse Storage Modulus (\u003ci\u003eE\u003c\/i\u003e′\u003csub\u003e22\u003c\/sub\u003e) 159\u003c\/p\u003e \u003cp\u003e4.1.2.1 Variation of \u003ci\u003eE\u003c\/i\u003e′\u003csub\u003e22\u003c\/sub\u003e with \u003ci\u003eV\u003c\/i\u003e\u003csub\u003ef \u003c\/sub\u003e159\u003c\/p\u003e \u003cp\u003e4.1.2.2 Variation of \u003ci\u003eE\u003c\/i\u003e′\u003csub\u003e22\u003c\/sub\u003e with \u003ci\u003el\u003c\/i\u003e\/\u003ci\u003ed \u003c\/i\u003e161\u003c\/p\u003e \u003cp\u003e4.1.3 Transverse Shear Storage Modulus (\u003ci\u003eG\u003c\/i\u003e′\u003csub\u003e23\u003c\/sub\u003e) 163\u003c\/p\u003e \u003cp\u003e4.1.3.1 Variation of \u003ci\u003eG\u003c\/i\u003e′\u003csub\u003e23\u003c\/sub\u003e with \u003ci\u003eV\u003c\/i\u003e\u003csub\u003ef\u003c\/sub\u003e 163\u003c\/p\u003e \u003cp\u003e4.1.3.2 Variation of \u003ci\u003eG\u003c\/i\u003e′\u003csub\u003e23\u003c\/sub\u003e with \u003ci\u003el\u003c\/i\u003e\/\u003ci\u003ed \u003c\/i\u003e164\u003c\/p\u003e \u003cp\u003e4.1.4 Longitudinal Shear Storage Modulus (\u003ci\u003eG\u003c\/i\u003e′\u003csub\u003e12\u003c\/sub\u003e) 166\u003c\/p\u003e \u003cp\u003e4.1.4.1 Variation of \u003ci\u003eG\u003c\/i\u003e′\u003csub\u003e12\u003c\/sub\u003e with \u003ci\u003eV\u003c\/i\u003e\u003csub\u003ef\u003c\/sub\u003e 166\u003c\/p\u003e \u003cp\u003e4.1.4.2 Variation of \u003ci\u003eG\u003c\/i\u003e′\u003csub\u003e12\u003c\/sub\u003e with \u003ci\u003el\u003c\/i\u003e\/\u003ci\u003ed \u003c\/i\u003e168\u003c\/p\u003e \u003cp\u003e4.2 Loss Factors 170\u003c\/p\u003e \u003cp\u003e4.2.1 Longitudinal Loss Factor (\u003ci\u003e𝜂\u003c\/i\u003e\u003csub\u003e11\u003c\/sub\u003e) 171\u003c\/p\u003e \u003cp\u003e4.2.1.1 Variation of \u003ci\u003e𝜂\u003c\/i\u003e\u003csub\u003e11\u003c\/sub\u003e with \u003ci\u003eV\u003c\/i\u003e\u003csub\u003ef\u003c\/sub\u003e 171\u003c\/p\u003e \u003cp\u003e4.2.1.2 Variation of \u003ci\u003e𝜂\u003c\/i\u003e\u003csub\u003e11\u003c\/sub\u003e with \u003ci\u003el\u003c\/i\u003e\/\u003ci\u003ed \u003c\/i\u003e172\u003c\/p\u003e \u003cp\u003e4.2.2 Transverse Loss Factor (\u003ci\u003e𝜂\u003c\/i\u003e\u003csub\u003e22\u003c\/sub\u003e) 174\u003c\/p\u003e \u003cp\u003e4.2.2.1 Variation of \u003ci\u003e𝜂\u003c\/i\u003e\u003csub\u003e22\u003c\/sub\u003e with \u003ci\u003eV\u003c\/i\u003e\u003csub\u003ef\u003c\/sub\u003e 174\u003c\/p\u003e \u003cp\u003e4.2.2.2 Variation of \u003ci\u003e𝜂\u003c\/i\u003e\u003csub\u003e22\u003c\/sub\u003e with \u003ci\u003el\u003c\/i\u003e\/\u003ci\u003ed \u003c\/i\u003e175\u003c\/p\u003e \u003cp\u003e4.2.3 Transverse Shear Loss Factor (\u003ci\u003e𝜂\u003c\/i\u003e\u003csub\u003e23\u003c\/sub\u003e) 178\u003c\/p\u003e \u003cp\u003e4.2.3.1 Variation of \u003ci\u003e𝜂\u003c\/i\u003e\u003csub\u003e23\u003c\/sub\u003e with \u003ci\u003eV\u003c\/i\u003e\u003csub\u003ef\u003c\/sub\u003e 178\u003c\/p\u003e \u003cp\u003e4.2.3.2 Variation of \u003ci\u003e𝜂\u003c\/i\u003e\u003csub\u003e23\u003c\/sub\u003e with \u003ci\u003el\u003c\/i\u003e\/\u003ci\u003ed \u003c\/i\u003e181\u003c\/p\u003e \u003cp\u003e4.2.4 Longitudinal Shear Loss Factor (\u003ci\u003e𝜂\u003c\/i\u003e\u003csub\u003e12\u003c\/sub\u003e) 183\u003c\/p\u003e \u003cp\u003e4.2.4.1 Variation of \u003ci\u003e𝜂\u003c\/i\u003e\u003csub\u003e12\u003c\/sub\u003e with \u003ci\u003eV\u003c\/i\u003e\u003csub\u003ef\u003c\/sub\u003e 183\u003c\/p\u003e \u003cp\u003e4.2.4.2 Variation of \u003ci\u003e𝜂\u003c\/i\u003e\u003csub\u003e12\u003c\/sub\u003e with \u003ci\u003el\u003c\/i\u003e\/\u003ci\u003ed \u003c\/i\u003e184\u003c\/p\u003e \u003cp\u003e4.3 Conclusions 187\u003c\/p\u003e \u003cp\u003eReference 189\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Experimental Work \u003c\/b\u003e\u003cb\u003e191\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Materials 191\u003c\/p\u003e \u003cp\u003e5.2 Principles of DMA – Forced Nonresonance Technique 192\u003c\/p\u003e \u003cp\u003e5.2.1 Terms and Definitions 192\u003c\/p\u003e \u003cp\u003e5.2.2 Choice of Sample Geometry 193\u003c\/p\u003e \u003cp\u003e5.2.3 Geometry Choice Guidelines 195\u003c\/p\u003e \u003cp\u003e5.3 Experimental Procedure for Dual Cantilever Mode 195\u003c\/p\u003e \u003cp\u003e5.4 Theoretical Formulations\/Modeling 197\u003c\/p\u003e \u003cp\u003e5.5 Results and Discussion 198\u003c\/p\u003e \u003cp\u003e5.6 Conclusions 202\u003c\/p\u003e \u003cp\u003eReferences 203\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Molecular Dynamics Simulation \u003c\/b\u003e\u003cb\u003e205\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Molecular Dynamics 205\u003c\/p\u003e \u003cp\u003e6.2 Monte Carlo Simulation 206\u003c\/p\u003e \u003cp\u003e6.3 Brownian Dynamics 207\u003c\/p\u003e \u003cp\u003e6.4 Dissipative Particle Dynamics 207\u003c\/p\u003e \u003cp\u003e6.5 Lattice Boltzmann Method 208\u003c\/p\u003e \u003cp\u003e6.6 Basic Concepts 208\u003c\/p\u003e \u003cp\u003e6.6.1 Force Field 208\u003c\/p\u003e \u003cp\u003e6.6.2 Potentials 214\u003c\/p\u003e \u003cp\u003e6.6.2.1 Tersoff Model 216\u003c\/p\u003e \u003cp\u003e6.6.2.2 Brenner Model 216\u003c\/p\u003e \u003cp\u003e6.6.2.3 Morse Potential 217\u003c\/p\u003e \u003cp\u003e6.6.2.4 Lennard–Jones Potential 218\u003c\/p\u003e \u003cp\u003e6.6.3 Ensemble 219\u003c\/p\u003e \u003cp\u003e6.6.4 Thermostat 220\u003c\/p\u003e \u003cp\u003e6.6.4.1 Andersen’s Method 221\u003c\/p\u003e \u003cp\u003e6.6.4.2 Berendsen Thermostat 221\u003c\/p\u003e \u003cp\u003e6.6.4.3 Nosé–Hoover Thermostat 222\u003c\/p\u003e \u003cp\u003e6.6.5 Boundary Conditions 224\u003c\/p\u003e \u003cp\u003e6.6.5.1 Periodic Boundary Condition 224\u003c\/p\u003e \u003cp\u003e6.6.5.2 Lees–Edwards Boundary Condition 225\u003c\/p\u003e \u003cp\u003e6.7 Molecular Dynamics Methodology 225\u003c\/p\u003e \u003cp\u003e6.7.1 Initial Positions 228\u003c\/p\u003e \u003cp\u003e6.7.1.1 Spherical Systems 228\u003c\/p\u003e \u003cp\u003e6.7.1.2 Nonspherical Systems 230\u003c\/p\u003e \u003cp\u003e6.7.2 Initial Velocities 233\u003c\/p\u003e \u003cp\u003e6.7.2.1 Spherical Systems 233\u003c\/p\u003e \u003cp\u003e6.7.2.2 Nonspherical Systems 234\u003c\/p\u003e \u003cp\u003e6.8 Molecular Potential Energy Surface 235\u003c\/p\u003e \u003cp\u003eReferences 237\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Molecular Dynamics Simulation-Case Studies \u003c\/b\u003e\u003cb\u003e239\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Carbon Nanofiber–Reinforced Polymer Composites 239\u003c\/p\u003e \u003cp\u003e7.1.1 Molecular Modeling of CNF and CNF\/PP Composites 242\u003c\/p\u003e \u003cp\u003e7.1.2 Modeling of CNFs 243\u003c\/p\u003e \u003cp\u003e7.1.3 Modeling of CNF–PP Composites 243\u003c\/p\u003e \u003cp\u003e7.1.4 Damping in CNF–PP Composites 247\u003c\/p\u003e \u003cp\u003e7.1.5 Results and Discussion 248\u003c\/p\u003e \u003cp\u003e7.1.5.1 Elastic Moduli 248\u003c\/p\u003e \u003cp\u003e7.1.5.2 Damping 253\u003c\/p\u003e \u003cp\u003e7.1.6 Conclusions 256\u003c\/p\u003e \u003cp\u003e7.2 Silica Nanoparticle\/Hydroxyapatite Fiber Reinforced bis-GMA\/TEGDMA Composites 256\u003c\/p\u003e \u003cp\u003e7.2.1 Molecular Dynamics Methodology 259\u003c\/p\u003e \u003cp\u003e7.2.1.1 Molecular Models of Unfilled Polymers 259\u003c\/p\u003e \u003cp\u003e7.2.1.2 Molecular Models of Filled Polymer Composites 259\u003c\/p\u003e \u003cp\u003e7.2.1.3 MD Methodology 259\u003c\/p\u003e \u003cp\u003e7.2.2 Results and Discussion 263\u003c\/p\u003e \u003cp\u003e7.2.2.1 Chain Configuration 263\u003c\/p\u003e \u003cp\u003e7.2.2.2 Effect of Hydrogen Bonding 263\u003c\/p\u003e \u003cp\u003e7.2.2.3 Prediction of Mechanical Properties 267\u003c\/p\u003e \u003cp\u003e7.2.2.4 Coefficient of Diffusion 269\u003c\/p\u003e \u003cp\u003e7.2.3 Conclusion 272\u003c\/p\u003e \u003cp\u003eReferences 274\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Coupling of Scales-Continuum Mechanics and Molecular Dynamics \u003c\/b\u003e\u003cb\u003e279\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Introduction 279\u003c\/p\u003e \u003cp\u003e8.2 Structural Mechanics Review 280\u003c\/p\u003e \u003cp\u003e8.3 Carbon Nanotubes: Structural Mechanics Approach 282\u003c\/p\u003e \u003cp\u003e8.4 Stiffness Parameters and Force Field Constants: Linkage 285\u003c\/p\u003e \u003cp\u003e8.5 Young’s Modulus of Graphene and CNT 286\u003c\/p\u003e \u003cp\u003e8.5.1 Modeling of Polymer Matrix 292\u003c\/p\u003e \u003cp\u003e8.6 Modeling of CNT\/Polymer Interface 292\u003c\/p\u003e \u003cp\u003e8.7 Elastic Buckling of CNT\/Polymer Composite 294\u003c\/p\u003e \u003cp\u003e8.8 Conclusions 296\u003c\/p\u003e \u003cp\u003eReferences 296\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Conclusions and Future Scope \u003c\/b\u003e\u003cb\u003e299\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eIndex 301\u003c\/p\u003e","brand":"John Wiley \u0026 Sons Inc","offers":[{"title":"Default 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