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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 [SUDOC]
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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.
Microstructure. --- Plasticity. --- Engineering. --- Mathematical models. --- Continuum mechanics. --- Materials science. --- Continuum Mechanics and Mechanics of Materials. --- Mathematical Modeling and Industrial Mathematics. --- Characterization and Evaluation of Materials. --- Cohesion --- Deformations (Mechanics) --- Elasticity --- Plastics --- Rheology --- Materials --- Matter --- Morphology --- Micromechanics --- Stereology --- Constitution --- Mechanics. --- Mechanics, Applied. --- Surfaces (Physics). --- Solid Mechanics. --- Physics --- Surface chemistry --- Surfaces (Technology) --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Dynamics --- Quantum theory --- Material science --- Physical sciences --- Models, Mathematical --- Simulation methods
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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
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