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This book is the first collection of lipid-membrane research conducted by leading mechanicians and experts in continuum mechanics. It brings the overall intellectual framework afforded by modern continuum mechanics to bear on a host of challenging problems in lipid membrane physics. These include unique and authoritative treatments of differential geometry, shape elasticity, surface flow and diffusion, interleaf membrane friction, phase transitions, electroelasticity and flexoelectricity, and computational modelling. .

Differential geometry. Global analysis --- Classical mechanics. Field theory --- Thermodynamics --- Mechanical properties of solids --- Solid state physics --- Applied physical engineering --- thermodynamica --- differentiaal geometrie --- toegepaste mechanica --- ingenieurswetenschappen --- mechanica --- geometrie --- warmteoverdracht

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This book presents the theory of plates and shells on the basis of the three-dimensional parent theory. The authors explore the thinness of the structure to represent the mechanics of the actual thin three-dimensional body under consideration by a more tractable two-dimensional theory associated with an interior surface. In this way, the relatively complex three-dimensional continuum mechanics of the thin body is replaced by a far more tractable two-dimensional theory. To ensure that the resulting model is predictive, it is necessary to compensate for this ‘dimension reduction’ by assigning additional kinematical and dynamical descriptors to the surface whose deformations are modelled by the simpler two-dimensional theory. The authors avoid the various ad hoc assumptions made in the historical development of the subject, most notably the classical Kirchhoff–Love hypothesis requiring that material lines initially normal to the shell surface remain so after deformation. Instead, such conditions, when appropriate, are here derived rather than postulated. .

Mechanics, Applied. --- Solids. --- Solid Mechanics. --- Solid state physics --- Transparent solids --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Plaques (Enginyeria) --- Teoria de les estructures

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Bringing together contributions on a diverse range of topics, this text explores the relationship between discrete and continuum mechanics as a tool to model new and complex metamaterials. Providing a comprehensive bibliography and historical review of the field, it covers mechanical, acoustic and pantographic metamaterials, discusses Naive Model Theory and Lagrangian discrete models, and their applications, and presents methods for pantographic structures and variational methods for multidisciplinary modeling and computation. The relationship between discrete and continuous models is discussed from both mathematical and engineering viewpoints, making the text ideal for those interested in the foundation of mechanics and computational applications, and innovative viewpoints on the use of discrete systems to model metamaterials are presented for those who want to go deeper into the field. An ideal text for graduate students and researchers interested in continuum approaches to the study of modern materials, in mechanical engineering, civil engineering, applied mathematics, physics, and materials science.

Metamaterials --- Mathematical models.

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This volume presents a state-of-the-art overview of the continuum theory of both electro- and magneto-sensitive elastomers and polymers, which includes mathematical and computational apsects of the modelling of these materials from the point of view of material properties and, in particular, the "smart-material" control of their mechanical properties.

Classical mechanics. Field theory --- Fluid mechanics --- Materials sciences --- Engineering sciences. Technology --- Computer science --- materiaalkennis --- informatica --- informaticaonderzoek --- mechanica --- dynamica

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This volume presents a state-of-the-art overview of the continuum theory of both electro- and magneto-sensitive elastomers and polymers, which includes mathematical and computational aspects of the modelling of these materials from the point of view of material properties and, in particular, the "smart-material" control of their mechanical properties.

Continuum mechanics. --- Electromagnetism. --- Membranes (Technology). --- Smart materials. --- Mechanics --- Electrodynamics --- Magnetostriction --- Magnetoelasticity --- Magnetostriction constant --- Magnetostriction saturations --- Negative magnetostriction --- Positive magnetostriction --- Classical mechanics --- Newtonian mechanics --- Engineering. --- Computer mathematics. --- Vibration. --- Dynamical systems. --- Dynamics. --- Materials science. --- Continuum Mechanics and Mechanics of Materials. --- Computational Science and Engineering. --- Materials Science, general. --- Vibration, Dynamical Systems, Control. --- Magnetism --- Dynamics --- Physics --- Quantum theory --- Mechanics. --- Mechanics, Applied. --- Computer science. --- Materials. --- Solid Mechanics. --- Cycles --- Sound --- Engineering --- Engineering materials --- Industrial materials --- Engineering design --- Manufacturing processes --- Informatics --- Science --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Materials --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Statics --- Material science --- Physical sciences --- Computer mathematics --- Electronic data processing