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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.
Functional analysis --- Mathematical analysis --- Numerical methods of optimisation --- Mathematics --- Classical mechanics. Field theory --- Solid state physics --- Applied physical engineering --- Engineering sciences. Technology --- Planning (firm) --- Computer. Automation --- legeringen --- ICT (informatie- en communicatietechnieken) --- analyse (wiskunde) --- toegepaste wiskunde --- toegepaste mechanica --- economie --- mathematische modellen --- wiskunde --- ingenieurswetenschappen --- kansrekening --- mechanica --- optimalisatie
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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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The book presents the latest findings in experimental plasticity, crystal plasticity, phase transitions, advanced mathematical modeling of finite plasticity and multi-scale modeling. The associated algorithmic treatment is mainly based on finite element formulations for standard (local approach) as well as for non-standard (non-local approach) continua and for pure macroscopic as well as for directly coupled two-scale boundary value problems. Applications in the area of material design/processing are covered, ranging from grain boundary effects in polycrystals and phase transitions to deep-drawing of multiphase steels by directly taking into account random microstructures.
Fluid mechanics --- Physics --- Surface chemistry --- Materials sciences --- Applied physical engineering --- Planning (firm) --- materiaalkennis --- oppervlakte-onderzoek --- mathematische modellen --- ingenieurswetenschappen --- mechanica
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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
Choose an application
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.
Functional analysis --- Mathematical analysis --- Numerical methods of optimisation --- Mathematics --- Classical mechanics. Field theory --- Solid state physics --- Applied physical engineering --- Engineering sciences. Technology --- Planning (firm) --- Computer. Automation --- legeringen --- ICT (informatie- en communicatietechnieken) --- analyse (wiskunde) --- toegepaste wiskunde --- toegepaste mechanica --- economie --- mathematische modellen --- wiskunde --- ingenieurswetenschappen --- kansrekening --- mechanica --- optimalisatie
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