Mechanics of Generalized Continua

ISBN-13: 9783642267666 / Angielski / Miękka / 2013 / 352 str.

Holm Altenbach; Gerard a. Maugin; Vladimir Erofeev

Opis

This collection on Mechanics of Generalized Continua - from Micromechanical Basics to Engineering Applications" brings together leading scientists in this field from France, Russian Federation, and Germany. The attention in this publication is be focussed on the most recent research items, i.e., - new models, - application of well-known models to new problems, - micro-macro aspects, - computational effort, - possibilities to identify the constitutive equations, and - old problems with incorrect or non-satisfying solutions based on the classical continua assumptions.

Spis treści

State of the Art and prospects in generalized GCM.- Microstructure, homogenisation and GCM modelling.- Application of GCM to intertwined fabrics.- GCM modelling of granular materials.- Scaling effects and metamaterials.-Applications of GCM in the strength of materials.- Application of GCM in 3D periodic structures.- GCM and numerics.- Hierarchy of scales in modelling materials.-Fractals and GCM.- Nonlinear waves in Cosserat continuum.- Analytical and numerical solutions for problems of the theory of asymmetric elasticity and their applications for experimental studies.- Kinetics of chemical reactions in deformable solids with dynamic loading.- Constitutive models of mechanical behaviour of media with stress state dependent material properties.- Theory of continuously distributed disclinations and dislocations in micropolar media.- On one model of generalised continuum and its thermodynamical interpretation.- Mechanics of carbon nanostructures.- The influence of the Cosserat concept on the theory of strength of materials.-Visualization at studying hydrodynamic instability in strong .-Nonlinear dynamic processes in media with internal structure.- On the Application of Generalized Continua Models to Structural Mechanics.- An Axiomatic Framework for Gradient-Materials.- Logarithmic Deformation Measures and Tensors Applied to Generalized Continua.- Modelling and Simulation Aspects of Generalised Multiphysics Continuum Models.- A Micro-Macro-Based Investigation of Micropolar Media.- Micromechanical Interpretation of Kinematically Extended Continua.- Subgrid Interaction and Homogenisation: New Invariance Conditions in Gradient Elasticity.- Numerical Considerations of FE^2 Problems.- Dispersive Waves in Generalized Continua: Experimental and Theoretical Investigations.- Generalized Continua Applied to Nano-size Objects

O autorze

Prof. Dr.-Ing. habil. Holm Altenbach lehrt Technische Mechanik an der Otto-von-Guericke-Universität Magdeburg. Seine Forschungsschwerpunkte liegen auf verschiedenen Gebieten der Kontinuumsmechanik (Plattentheorie, Kriechschädigungsmechanik, Mechanik der Komposite).