LEADER 04183nam 22006375 450 001 9910544857103321 005 20251113192227.0 010 $a9783030900519$b(electronic bk.) 010 $z9783030900502 024 7 $a10.1007/978-3-030-90051-9 035 $a(MiAaPQ)EBC6885468 035 $a(Au-PeEL)EBL6885468 035 $a(CKB)21167781000041 035 $a(PPN)26082562X 035 $a(OCoLC)1298393831 035 $a(DE-He213)978-3-030-90051-9 035 $a(EXLCZ)9921167781000041 100 $a20220208d2021 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aVariational Views in Mechanics /$fedited by Paolo Maria Mariano 205 $a1st ed. 2021. 210 1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2021. 215 $a1 online resource (314 pages) 225 1 $aAdvances in Continuum Mechanics,$x2524-4647 ;$v46 311 08$aPrint version: Mariano, Paolo Maria Variational Views in Mechanics Cham : Springer International Publishing AG,c2022 9783030900502 320 $aIncludes bibliographical references and index. 327 $aNumerical 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. 330 $aThis volume provides a timely survey of interactions between the calculus of variations and theoretical and applied mechanics. Chapters have been significantly expanded since preliminary versions appeared in a special issue of the Journal of Optimization Theory and Applications (184(1), 2020) on ?Calculus of Variations in Mechanics and Related Fields?. The variety of topics covered offers researchers an overview of problems in mechanics that can be analyzed with variational techniques, making this a valuable reference for researchers in the field. It also presents ideas for possible future areas of research, showing how the mastery of these foundational mathematical techniques can be used for many exciting applications. Specific topics covered include: Topology optimization Identification of material properties Optimal control Plastic flows Gradient polyconvexity Obstacle problems Quasi-monotonicity Variational Views in Mechanics will appeal to researchers in mathematics, solid-states physics, and mechanical, civil, and materials engineering. 410 0$aAdvances in Continuum Mechanics,$x2524-4647 ;$v46 606 $aMathematical optimization 606 $aCalculus of variations 606 $aContinuum mechanics 606 $aFunctional analysis 606 $aCalculus of Variations and Optimization 606 $aContinuum Mechanics 606 $aFunctional Analysis 615 0$aMathematical optimization. 615 0$aCalculus of variations. 615 0$aContinuum mechanics. 615 0$aFunctional analysis. 615 14$aCalculus of Variations and Optimization. 615 24$aContinuum Mechanics. 615 24$aFunctional Analysis. 676 $a515.39 676 $a531.01515 702 $aMariano$b Paolo Maria$f1966- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 912 $a9910544857103321 996 $aVariational views in mechanics$92918214 997 $aUNINA