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The book presents mathematical and mechanical aspects of the theory of plates and shells, applications in civil, aero-space and mechanical engineering, as well in other areas. The focus relates to the following problems: • comprehensive review of the most popular theories of plates and shells, • relations between three-dimensional theories and two-dimensional ones, • presentation of recently developed new refined plates and shells theories (for example, the micropolar theory or gradient-type theories), • modeling of coupled effects in shells and plates related to electromagnetic and temperature fields, phase transitions, diffusion, etc., • applications in modeling of non-classical objects like, for example, nanostructures, • presentation of actual numerical tools based on the finite element approach.

Classical mechanics. Field theory --- Solid state physics --- Applied physical engineering --- Civil engineering. Building industry --- toegepaste mechanica --- ingenieurswetenschappen --- mechanica

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Fluid mechanics --- Solid state physics --- Applied physical engineering --- toegepaste mechanica --- mechanica

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The need of generalized continua models is coming from practice. Complex material behavior sometimes cannot be presented by the classical Cauchy continua. At present the attention of the scientists in this field is focused on the most recent research items • new models, • application of well-known models to new problems, • micro-macro aspects, • computational effort, and • possibilities to identify the constitutive equations The new research directions are discussed in this volume - from the point of view of modeling and simulation, identification, and numerical methods.

Continuum mechanics -- Mathematical models. --- Continuum mechanics. --- Differential equations. --- Hydrodynamics -- Mathematical models. --- Continuum mechanics --- Engineering & Applied Sciences --- Chemical & Materials Engineering --- Materials Science --- Applied Mathematics --- Mathematical models --- Mathematical models. --- Mechanics of continua --- Engineering. --- Mathematical analysis. --- Analysis (Mathematics). --- Materials science. --- Continuum Mechanics and Mechanics of Materials. --- Characterization and Evaluation of Materials. --- Analysis. --- Elasticity --- Mechanics, Analytic --- Field theory (Physics) --- Mechanics. --- Mechanics, Applied. --- Surfaces (Physics). --- Global analysis (Mathematics). --- Solid Mechanics. --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Analysis, Global (Mathematics) --- Differential topology --- Functions of complex variables --- Geometry, Algebraic --- Surface chemistry --- Surfaces (Technology) --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- 517.1 Mathematical analysis --- Mathematical analysis --- Material science --- Physical sciences

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The need of generalized continua models is coming from practice. Complex material behavior sometimes cannot be presented by the classical Cauchy continua. At present the attention of the scientists in this field is focused on the most recent research items • new models, • application of well-known models to new problems, • micro-macro aspects, • computational effort, and • possibilities to identify the constitutive equations The new research directions are discussed in this volume - from the point of view of modeling and simulation, identification, and numerical methods.

Differential geometry. Global analysis --- Mathematical analysis --- Fluid mechanics --- Physics --- Surface chemistry --- Materials sciences --- Applied physical engineering --- materiaalkennis --- analyse (wiskunde) --- oppervlakte-onderzoek --- statistiek --- ingenieurswetenschappen --- mechanica

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The book presents foundations of the micropolar continuum mechanics including a short but comprehensive introduction of stress and strain measures, derivation of motion equations and discussion of the difference between Cosserat and classical (Cauchy) continua, and the discussion of more specific problems related to the  constitutive modeling, i.e. constitutive inequalities, symmetry groups, acceleration waves, etc.

Mechanics. --- Micropolar elasticity. --- Continuum mechanics --- Micropolar elasticity --- Chemical & Materials Engineering --- Engineering & Applied Sciences --- Materials Science --- Applied Mathematics --- Continuum mechanics. --- Mechanics of continua --- Engineering. --- Algebra. --- Field theory (Physics). --- Continuum Mechanics and Mechanics of Materials. --- Field Theory and Polynomials. --- Elasticity --- Mechanics, Analytic --- Field theory (Physics) --- Mechanics, Applied. --- Solid Mechanics. --- Classical Mechanics. --- Classical field theory --- Continuum physics --- Physics --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Dynamics --- Quantum theory --- Mathematics --- Mathematical analysis --- Materials.