Multi-scale continuum mechanics modelling of fibre-reinforced polymer composites

Multi-Scale Continuum Mechanics Modelling of Fiber-Reinforced Polymer Composites provides a comprehensive and state-of-the-art review on the application and use of multi-scale modelling to predict damage mechanisms in composite materials. Following a logical structure the book is divided into three main parts.Part I discusses all the “ingredients” necessary to start with multi-scale modelling, limited to elastic property prediction. This includes (1) setting up your geometrical model at micro- or meso-scale (definition of Representative Volume Element (RVE) or Repeating Unit Cell (RUC)), (2) definition of periodic boundary conditions, (3) homogenization of the elastic properties, starting from the elastic properties of the constituents, and (4) importance of statistical representation of geometry and stochastic nature of fiber architecture. This should bring all readers up to the same level of principles and terminology for multi-scale modelling.Part II deals with nonlinear multi-scale modelling. It builds further upon the ingredients from Part I but adds all kinds of nonlinearities to the simulation at micro- or meso-scale (matrix cracking, delamination, fiber/matrix debonding, delamination, fiber failure, visco-elasto-plasticity-damage of the polymer matrix). It covers not only finite-element-based techniques but also much faster inclusion methods (Mori-Tanaka, Eshelby) and variational methods.Part III deals with the laminate scale or macro-scale, where all these multi-scale modelling tools are applied for virtual testing of laminates (in static loading but also sometimes for prediction of fatigue or effect of defects).Multi-Scale Continuum Mechanics Modelling of Fiber-Reinforced Polymer Composites provides a comprehensive and state-of-the-art review on the application and use of multi-scale modelling to predict damage mechanisms in composite materials. Following a logical structure the book is divided into three main parts.Part I discusses all the “ingredients” necessary to start with multi-scale modelling, limited to elastic property prediction. This includes (1) setting up your geometrical model at micro- or meso-scale (definition of Representative Volume Element (RVE) or Repeating Unit Cell (RUC)), (2) definition of periodic boundary conditions, (3) homogenization of the elastic properties, starting from the elastic properties of the constituents, and (4) importance of statistical representation of geometry and stochastic nature of fiber architecture. This should bring all readers up to the same level of principles and terminology for multi-scale modelling.Part II deals with nonlinear multi-scale modelling. It builds further upon the ingredients from Part I but adds all kinds of nonlinearities to the simulation at micro- or meso-scale (matrix cracking, delamination, fiber/matrix debonding, delamination, fiber failure, visco-elasto-plasticity-damage of the polymer matrix). It covers not only finite-element-based techniques but also much faster inclusion methods (Mori-Tanaka, Eshelby) and variational methods.Part III deals with the laminate scale or macro-scale, where all these multi-scale modelling tools are applied for virtual testing of laminates (in static loading but also sometimes for prediction of fatigue or effect of defects).B