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Catalogue Information
Field name	Details
Dewey Class	519.6
Dewey Class	515.64
Title	Variational Views in Mechanics ([EBook] /) / edited by Paolo Maria Mariano.
Added Personal Name	Mariano, Paolo Maria
Other name(s)	SpringerLink (Online service)
Edition statement	1st ed. 2021.
Publication	Cham : : Springer International Publishing : : Imprint: Birkhäuser, , 2021.
Physical Details	XIV, 309 p. 94 illus., 63 illus. in color. : online resource.
Series	Advances in Continuum Mechanics 2524-4647
ISBN	9783030900519
Summary Note	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 optimization Identification of material properties Optimal control Plastic flows Gradient polyconvexity Obstacle problems Quasi-monotonicity Variational Views in Mechanics will appeal to researchers in mathematics, solid-states physics, and mechanical, civil, and materials engineering.:
Contents note	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.
Mode of acces to digital resource	Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	https://doi.org/10.1007/978-3-030-90051-9
Links to Related Works	Subject References: Calculus of variations . Calculus of Variations and Optimization . Continuum Mechanics . Functional Analysis . Mathematical optimization . Authors: editor . Mariano, Paolo Maria . Corporate Authors: SpringerLink (Online service) . Series: Advances in Continuum Mechanics . Classification: 515.64 . 519.6 .

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Variational Views in Mechanics

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