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The recent dramatic increase in computational power available for mathematical modeling and simulation promotes the significant role of modern numerical methods in the analysis of heterogeneous microstructures. This monograph presents a comprehensive introduction to computational micromechanics, including basic homogenization theory, microstructural optimization and multifield analysis of heterogeneous materials. An Introduction to Computational Micromechanics is valuable for researchers, engineers and for use in a first year graduate course for students in the applied sciences, mechanics and mathematics with an interest in the computational micromechanical analysis of new materials.
List of contents
Introduction.- Some basics in the mechanics of solid continua.- Fundamental weak formulations.- Fundamental micro-macro concepts.- A basic infinite element implementation.- Computational/statistical testing methods.- Various extensions and further interpretations of Partitioning.- Nonconvex-nonderivative genetic material design.- Modeling coupled multifield processes.- Closing comments.
About the author
§Prof. Dr.-Ing. Peter Wriggers studierte Bauingenieur- und Vermessungswesen, promovierte 1980 an der Universität Hannover und habilitierte 1986 im FachMechanik. Er war GastprofessoranderUCBerkeley, USA,Professor fürMechanik an der TH Darmstadt und Direktor des Darmstädter Zentrums für Wissenschaftliches Rechnen. Seit 1998 ist er Professor für Baumechanik und NumerischeMechanik sowieDirektor des Zentrums für Computational Engineering Sciences an der Universität Hannover. Er ist Mitherausgeber von internationalen Journals und Editor-in-Chief der Zeitschrift Computational Mechanics .