1;Preface;6 2;Contents;9 3;1 Mechanics of Random Fiber Networks: Structure-Properties Relation;10 3.1;Introduction and Examples of Random Fiber Networks;11 3.2;Network Types and Classification;15 3.3;Types of Fibers and Interfiber Interactions;17 3.3.1;Representation of Fibers;17 3.3.2;Representation of Crosslinks;21 3.3.3;Surface Interactions;22 3.4;Characterization of Network Structure;23 3.5;Small and Large Strain Mechanical Behavior;27 3.5.1;Stability Considerations;27 3.5.2;Mechanical Behavior in Tension and Compression;28 3.6;Damage and Rupture in Random Networks;48 3.6.1;Networks with No Pre-existing Flaws;48 3.6.2;Growth of Cracks in Fibrous Materials;55 3.7;Networks with Adhesive Fiber Interactions-Networks of Bundles;56 3.7.1;Some Basic Considerations Regarding Adhesion of Filaments;57 3.7.2;Structure of Networks with Interfiber Adhesion and No Crosslinks;59 3.7.3;Structure of Networks with Interfiber Adhesion and Crosslinks;61 3.7.4;Tensile Behavior of Networks with Interfiber Adhesion and Crosslinks;62 3.8;Concluding Remarks and Outlook;65 3.9;References;66 4;2 Prediction of the Effective Mechanical Properties of Regular and Random Fibrous Materials Based on the Mechanics of Generalized Continua;71 4.1;Introduction;72 4.2;Effective Mechanical Properties of Periodic Fibrous Materials in the Small Strains Regime;73 4.2.1;Small Strains Homogenization: Determination of the Initial Elastic Response;73 4.2.2;Couple Stress Models of Textile Preforms;80 4.2.3;Effective Properties of the Micropolar Constitutive Law for Textile Preforms;86 4.2.4;Comparison of the Homogenized Moduli with the FE Computations;91 4.2.5;Incorporation of a Hertz Contact Model Between Yarns;96 4.3;Large Configuration Changes of Lattices Based on Discrete Homogenization Method;99 4.3.1;Microscopic Incremental Problem over the RUC;99 4.3.2;Mesoscopic Equations over the Reference Unit Cell;104 4.4;Computed Response of Monolayers and 3D Interlocks;107 4.4.1;Nonlinear Response of Monolayer Fabrics;107 4.4.2;Large Strain Response of 2.5D Layer-to-Layer Interlock;112 4.4.3;Comparison of the Responses from DH with FE Simulations;113 4.5;Identification of Hyperelastic Models for Textile Monolayers;117 4.6;Generalized Continuum Models of Random Fibrous Networks;120 4.6.1;Generation of Random Fibrous Networks RVEs;122 4.6.2;Computation of the Homogenized Properties Based on Couple Stress Continua;123 4.7;Summary and Future Work;128 4.8;References;129 5;3 Heuristic Homogenization of Euler and Pantographic Beams;131 5.1;Introduction;131 5.2;Euler Beams;132 5.2.1;Introduction;132 5.2.2;Continuous Euler Beams;133 5.2.3;Discrete Henky-Type Beam;138 5.3;Pantographic Beams;142 5.3.1;Introduction;142 5.3.2;Discrete Micro-model;142 5.3.3;Toward the Continuum Model;145 5.3.4;Continuum-Limit Macro-model;149 5.3.5;Numerical Simulations of the Continuous Model;154 5.4;References;160 6;4 Simulation of Continuous Fibre Composite Forming;164 6.1;Introduction;164 6.2;Mechanical Behaviour of the Textile Composite Reinforcements: Stiffnesses of an Elementary Woven Cell;165 6.3;Stress Resultant Shell Finite Element for Textile Composite Reinforcements;167 6.4;Experimental Analyses of the Tensile, In-plane Shear and Bending Stiffnesses of Textile Composite Reinforcements;169 6.4.1;Biaxial Tension;169 6.4.2;In-plane Shear;172 6.4.3;Bending;174 6.5;Influence of the Different Stiffnesses on Wrinkles;179 6.5.1;Draping on a Hemispherical Shape;179 6.5.2;Forming an Unbalanced Textile Reinforcement;182 6.6;Thermostamping of Prepreg Composites with Thermoplastic Matrix;184 6.6.1;The Thermostamping Process;184 6.6.2;Viscohyperelastic Model for Prepreg Forming;184 6.6.3;Identification of Parameters;186 6.6.4;Examples of Numerical Simulations of Thermoforming;191 6.7;Conclusions and Perspectives;195 6.8;References;196