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This book addresses the need for a fundamental understanding of the physical origin, the mathematical behavior, and the numerical treatment of models which include microstructure. Leading scientists present their efforts involving mathematical analysis, numerical analysis, computational mechanics, material modelling and experiment. The mathematical analyses are based on methods from the calculus of variations, while in the numerical implementation global optimization algorithms play a central role. The modeling covers all length scales, from the atomic structure up to macroscopic samples. The development of the models ware guided by experiments on single and polycrystals, and results will be checked against experimental data.

Engineering. --- Continuum Mechanics and Mechanics of Materials. --- Characterization and Evaluation of Materials. --- Computational Mathematics and Numerical Analysis. --- Computer science --- Materials. --- Surfaces (Physics). --- Ingénierie --- Informatique --- Matériaux --- Surfaces (Physique) --- Mathematics. --- Mathématiques --- Computer science_xMathematics. --- Chemical & Materials Engineering --- Engineering & Applied Sciences --- Materials Science --- Applied Mathematics --- Microstructure. --- Engineering --- Engineering materials --- Industrial materials --- Materials --- Computer mathematics. --- Continuum mechanics. --- Materials science. --- Engineering design --- Manufacturing processes --- Matter --- Morphology --- Micromechanics --- Stereology --- Constitution --- Mechanics. --- Mechanics, Applied. --- Solid Mechanics. --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Physics --- Surface chemistry --- Surfaces (Technology) --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Dynamics --- Quantum theory --- Mathematics --- Material science --- Physical sciences --- Solids. --- Characterization and Analytical Technique. --- Analysis. --- Data processing. --- Solid state physics --- Transparent solids

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This book addresses the need for a fundamental understanding of the physical origin, the mathematical behavior, and the numerical treatment of models which include microstructure. Leading scientists present their efforts involving mathematical analysis, numerical analysis, computational mechanics, material modelling and experiment. The mathematical analyses are based on methods from the calculus of variations, while in the numerical implementation global optimization algorithms play a central role. The modeling covers all length scales, from the atomic structure up to macroscopic samples. The development of the models ware guided by experiments on single and polycrystals, and results will be checked against experimental data.

Mathematics --- Classical mechanics. Field theory --- Solid state physics --- Materials sciences --- Applied physical engineering --- Computer. Automation --- materiaalkennis --- toegepaste mechanica --- computers --- informatica --- wiskunde --- mechanica

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