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The symposium focused on novel applications of methods from the calculus of variations to the solid mechanics of materials, including the development of new material models as well as the advancement of the corresponding computational techniques. Specific emphasis was put on the treatment of materials posessing an inherent microstructure and thus exhibiting a behavior which fundamentally involves multiple scales. Among the topic treated in this volume are: Energy-based modeling of material microstructures; modeling of the evolution of material microstructures; micromechanical modeling of shape-memory alloys; variational multiscale methods and associated numerical procedures; and micromechanics of multifield and multiphysics problems.

Materials -- Mechanical properties -- Congresses. --- Materials --- Engineering & Applied Sciences --- Chemical & Materials Engineering --- Applied Mathematics --- Materials Science --- Mechanical properties --- Calculus of variations. --- Control theory. --- Mathematical optimization. --- Convex functions. --- Functions, Convex --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Isoperimetrical problems --- Variations, Calculus of --- Engineering. --- Mathematical analysis. --- Analysis (Mathematics). --- Mathematical models. --- Applied mathematics. --- Engineering mathematics. --- Continuum mechanics. --- Continuum Mechanics and Mechanics of Materials. --- Calculus of Variations and Optimal Control; Optimization. --- Mathematical Modeling and Industrial Mathematics. --- Analysis. --- Appl.Mathematics/Computational Methods of Engineering. --- Maxima and minima --- Mechanics of continua --- Elasticity --- Mechanics, Analytic --- Field theory (Physics) --- Engineering --- Engineering analysis --- Mathematical analysis --- Models, Mathematical --- Simulation methods --- 517.1 Mathematical analysis --- Construction --- Industrial arts --- Technology --- Mathematics --- Functions of real variables --- Operations research --- System analysis --- Dynamics --- Machine theory --- Mechanics. --- Mechanics, Applied. --- Global analysis (Mathematics). --- Solid Mechanics. --- Mathematical and Computational Engineering. --- Analysis, Global (Mathematics) --- Differential topology --- Functions of complex variables --- Geometry, Algebraic --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Physics --- Quantum theory --- Solids. --- Calculus of Variations and Optimization. --- Mathematical and Computational Engineering Applications. --- Data processing. --- Solid state physics --- Transparent solids