Optimal design of plane elastic membranes using the convexified Föppl's model
type: Item
instance of: scholarly article
title: Optimal design of plane elastic membranes using the convexified Föppl's model
author: Karol Bołbotowski
published in: Applied Mathematics and Optimization
publication date: 2024-08-20T00:00:00Z
Mathematics Subject Classification ID: 74P05
Mathematics Subject Classification ID: 74K15
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 90C22
zbMATH DE Number: 7898812
zbMATH Keywords: compliance minimization
zbMATH Keywords: conic-quadratic/semi-definite programming
zbMATH Keywords: positive Radon measure
zbMATH Keywords: dual convex variational problem
zbMATH Keywords: uniqueness
zbMATH Keywords: existence
zbMATH Keywords: regularity
zbMATH Keywords: optimality criterion
zbMATH Keywords: finite element method
MaRDI profile type: Publication
cites work: A geometrical approach to monotone functions in \(\mathbb{R}^n\)
cites work: Shape optimization by the homogenization method
cites work: Q4293236
cites work: Structural optimization using sensitivity analysis and a level-set method.
cites work: Q4954179
cites work: On implementing a primal-dual interior-point method for conic quadratic optimization
cites work: Shape optimization of light structures and the vanishing mass conjecture
cites work: A Mixed Formulation of the Monge-Kantorovich Equations
cites work: Energy scaling of compressed elastic films -- three-dimensional elasticity and reduced theories
cites work: Wrinkles as the Result of Compressive Stresses in an Annular Thin Film
cites work: Lectures on modern convex optimization. Analysis, algorithms, and engineering applications
cites work: Optimal vault problem -- form finding through 2D convex program
cites work: Optimal design versus maximal Monge-Kantorovich metrics
cites work: Setting the free material design problem through the methods of optimal mass distribution
cites work: Characterization of optimal shapes and masses through Monge-Kantorovich equation
cites work: Optimal Design of Thin Plates by a Dimension Reduction for Linear Constrained Problems
cites work: Optimality conditions for mass design problems and applications to thin plates
cites work: Energies with respect to a measure and applications to low dimensional structures
cites work: MICHELL TRUSSES AND LINES OF PRINCIPAL ACTION
cites work: Shape derivatives for minima of integral functionals
cites work: Q4485429
cites work: A justification of the von Kármán equations
cites work: Rigorous Derivation of Föppl’s Theory for Clamped Elastic Membranes Leads to Relaxation
cites work: Q5820676
cites work: On minimum compliance problems of thin elastic plates of varying thickness
cites work: Q4702909
cites work: Q3134551
cites work: Vorlesungen über technische Mechanik. In sechs Bänden. Fünfter Band: Die wichtigsten Lehren der höheren Elastizitätstheorie.
cites work: A justification of nonlinear properly invariant plate theories
cites work: A hierarchy of plate models derived from nonlinear elasticity by gamma-convergence
cites work: Researches on the equilibrium of masonry structures
cites work: Sublinear functions of measures and variational integrals
cites work: Locking materials and the topology of optimal shapes
cites work: Multidisciplinary Free Material Optimization
cites work: Q3789173
cites work: Optimal design and relaxation of variational problems, I
cites work: Optimal design and relaxation of variational problems, II
cites work: Optimal design and relaxation of variational problems, III
cites work: The nonlinear membrane model as variational limit of nonlinear three-dimensional elasticity
cites work: The free material design problem for the stationary heat equation on low dimensional structure
cites work: A Finite Element Analysis of Optimal Variable Thickness Sheets
cites work: Geometric aspects of shape optimization
cites work: Properties of a chiral honeycomb with a Poisson's ratio of \(-1\)
cites work: Integrals which are convex functionals
cites work: Convex Analysis
cites work: Integrals which are convex functionals. II
cites work: A new class of structural optimization problems: Optimal archgrids
cites work: Optimal transport for applied mathematicians. Calculus of variations, PDEs, and modeling
cites work: Q4000354
cites work: Curvature-driven wrinkling of thin elastic shells
cites work: Q4805362
cites work: Q3149262
DOI: 10.1007/S00245-024-10143-4
description: scientific article; zbMATH DE number 7898812