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Variational Views in Mechanics

BuchKartoniert, Paperback
309 Seiten
Englisch
Springererschienen am09.02.20231st ed. 2021
This volume provides a timely survey of interactions between the calculus of variations and theoretical and applied mechanics. Chapters have been significantly expanded since preliminary versions appeared in a special issue of the Journal of Optimization Theory and Applications (184(1), 2020) on Calculus of Variations in Mechanics and Related Fields . The variety of topics covered offers researchers an overview of problems in mechanics that can be analyzed with variational techniques, making this a valuable reference for researchers in the field. It also presents ideas for possible future areas of research, showing how the mastery of these foundational mathematical techniques can be used for many exciting applications. Specific topics covered include:Topology optimizationIdentification of material propertiesOptimal controlPlastic flowsGradient polyconvexityObstacle problemsQuasi-monotonicityVariational Views in Mechanics will appeal to researchers in mathematics, solid-states physics, and mechanical, civil, and materials engineering.mehr
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BuchKartoniert, Paperback
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Produkt

KlappentextThis volume provides a timely survey of interactions between the calculus of variations and theoretical and applied mechanics. Chapters have been significantly expanded since preliminary versions appeared in a special issue of the Journal of Optimization Theory and Applications (184(1), 2020) on Calculus of Variations in Mechanics and Related Fields . The variety of topics covered offers researchers an overview of problems in mechanics that can be analyzed with variational techniques, making this a valuable reference for researchers in the field. It also presents ideas for possible future areas of research, showing how the mastery of these foundational mathematical techniques can be used for many exciting applications. Specific topics covered include:Topology optimizationIdentification of material propertiesOptimal controlPlastic flowsGradient polyconvexityObstacle problemsQuasi-monotonicityVariational Views in Mechanics will appeal to researchers in mathematics, solid-states physics, and mechanical, civil, and materials engineering.
Details
ISBN/GTIN978-3-030-90053-3
ProduktartBuch
EinbandartKartoniert, Paperback
Verlag
Erscheinungsjahr2023
Erscheinungsdatum09.02.2023
Auflage1st ed. 2021
ReiheAdvances in Mechanics and Mathematics
Seiten309 Seiten
SpracheEnglisch
IllustrationenXIV, 309 p. 94 illus., 63 illus. in color.
Artikel-Nr.51964420

Inhalt/Kritik

Inhaltsverzeichnis
Numerical study of microstructures in multiwell problems in linear elasticity.- Surface shear waves in a functionally graded half-space.- Modeling of microstructures in a Cosserat continuum using relaxed energies - analytical and numerical aspects.- The polar-isogeometric method for the simultaneous optimization of shape and material properties of anisotropic shell structures.- Gradient polyconvexity and modeling of shape memory alloys.- Placement of an obstacle for optimizing the fundamental eigenvalue of divergence form elliptic operators.- Quasi-monotonicity formulas for classical obstacle problems with Sobolev coefficients and applications.- Optimal feedback for structures controlled by hydraulic semi-active dampers.- Multi-displacement requirement in a topology optimization algorithm based on non-uniform rational basis spline hyper-surfaces.- Anti-plane shear in hyperelasticity.- Identification of diffusion properties of polymer-matrix composite materials with complex texture.mehr