Koha

xii, 217 p. :

Introduction -- Composite materials uses -- The use of composite materials in the automobile industry -- The use of composite materials in the Aeronautic industry -- Composite materials in the naval industry -- The use of composite materials in Civil Engineering -- Composites properties -- Classification of composite materials -- Classification by the topology -- Classification by their components -- Structural Classification -- Mechanical Anisotropy -- Introduction -- Generalities on the anisotropic formulation -- Yield function and plastic potential for isotropic materials -- General explicit definition of the isotropic yield criterion in the referential configuration -- General explicit definition of the orthotropic yield criterion in the referential configuration -- General implicit definition of the orthotropic criterion in the referential configuration -- Stresses space transformation -- Strain space transformation -- General definition of the stress space transformation tensor -- Numerical calculation of the adjusting tensor matrix form -- Mises-Hill orthotropic criterion verification by the space mapping theory -- Anisotropy in the updated configuration -- Transformation of the stresses space -- Transformation of the strain space -- Plastic flow rule. Internal variables evolution law -- Referential Configuration -- Updated Configuration -- Definition of the dissipation in the isotropic fictitious space. Unicity of the dissipation -- Referential configuration -- Updated configuration -- Tangent constitutive equation -- Referential Configuration -- Spatial Configuration -- Mixing Theory -- Introduction -- Classic Mixing Theory -- Free energy expression -- Classical theory modification. Serial-Parallel Model -- The generalized mixing theory -- Large strains classic mixing theory -- Closure or compatibility equation -- Free energy function -- The constitutive equation -- Generalized mixing theory formulated in large strains -- Constitutive equation -- Mixing theory modification for short length reinforcement -- Fiber axial stress distribution -- Tangent stress distribution in the interface -- Short fibers constitutive model -- Composite constitutive equation -- Free energy for short reinforced composite materials -- Fiber mechanical properties in the Mixing Theory â_" Linear behavior in small strains -- Comparative example. â_oMicromodelâ__ vs. â_oMixing Theoryâ__ with anisotropy in large strains -- Behavior simulation of asphalt mixtures -- Introduction -- Problem motivation and description -- Materials parameterization. Simplified granulometry and properties correction by aspect relation -- Numerical Simulation -- Fiber-Matrix Displacement (FMD)-Debonding -- Introduction -- Stresses distribution along the reinforced fiber -- Cracks and fibers interaction -- Constitutive models for composite materials with "FMD" -- A procedure proposed for â_oFMDâ__ -- The constitutive model modification. Procedure for the fiberâ_"matrix displacement phenomenon (FMD) -- Expression of the elastoplastic constitutive model of the reinforcement -- Yield condition -- Plastic flow rule -- "Total" and "Updated" Lagrangian Formulation -- Implementation of the mixing and anisotropy theory in the FEM context -- "FMD" Phenomenon: Micro model and Mixing Theory with anisotropy -- Homogenization Theory -- Introduction and state of the art -- Average Methods -- The asymptotic expansion theory -- Extension of the â_oAverage Methodâ__ and the â_oAsymptotic Expansion Methodâ__ to the nonlinear problem -- Other homogenization-related subjects -- Homogenization Theory based on â_oLocal Periodicityâ__ -- Introduction -- Periodic structure concepts -- Variables Local periodicity -- Strains tensor homogenization -- The homogenized stress and the equilibrium equation -- Elastic problem basis at micro-macro scales -- Basis of the inelastic problem at micro-macro scales -- The elastic constitutive tensor determination for composite materials -- Quasi-tangent inelastic constitutive tensor determination for the composite materials. Analytical determination -- Micro-Macro structural coupling -- Local effects influence -- Test examples of the â_oHomogenization Theory of Local Periodicityâ__ -- Transversal behavior of a reinforced long fibers matrix â_"Simple tensile test -- Thick cylinder subjected to internal pressure -- Masonry homogenized, treated as a composite -- Masonry-Homogenized Composite -- Introduction and background -- Masonry properties -- Masonry behavior under uniaxial compression -- Masonry behavior under uniaxial tension -- Biaxial behavior -- Post-peak masonry behavior. Softening -- Different methods for masonry calculation -- Constitutive model based on a particular case of the homogenization concept -- Constitutive model -- Formulation checkout -- Non-Linear Buckling of Reinforced Composites -- Introduction -- Problem description and state-of-the-art -- Euler critical load -- Rosen model -- Micro-mechanical models -- Mechanical damage models -- Model of stiffness-loss due to buckling in long-fibers composites reinforced -- Introduction -- Fiber model general definition -- Definition of the stiffness-loss variable due to buckling -- Main characteristics of the model -- Energy dissipation -- Test example.