On the optimal prediction of the stress field associated with discrete element models
type: Item
instance of: scholarly article
title: On the optimal prediction of the stress field associated with discrete element models
zbMATH Open document ID: 1477.74002
author: Ada Amendola
published in: Journal of Optimization Theory and Applications
publication date: 2021-05-14T00:00:00Z
Mathematics Subject Classification ID: 74A10
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 82B21
zbMATH DE Number: 7348223
zbMATH Keywords: force-based discrete elements
zbMATH Keywords: continuum limit
zbMATH Keywords: convergence order
zbMATH Keywords: virial stress
zbMATH Keywords: structural membranes
Wikidata QID: Q110954229
describes a project that uses: IMSL Numerical Libraries
MaRDI profile type: Publication
full work available at URL: s10957-019-01572-1
OpenAlex ID: W2968892261
cites work: An adaptive finite element approach to atomic-scale mechanics. -- The quasicontinuum method
cites work: An analysis of the quasicontinuum method
cites work: The atomic-scale finite element method
cites work: On Atomistic-to-Continuum Coupling by Blending
cites work: Atom collocation method
cites work: Multiresolution molecular mechanics: statics
cites work: Multiscale mass-spring models of carbon nanotube foams
cites work: Q4650354
cites work: On the estimation of the curvatures and bending rigidity of membrane networks via a local maximum-entropy approach
cites work: Universal formulae for the limiting elastic energy of membrane networks
cites work: The construction and application of an atomistic \(\mathbf J\)-integral via Hardy estimates of continuum fields
cites work: Relaxed Notions of Curvature and a Lumped Strain Method for Elastic Plates
cites work: A lumped stress method for plane elastic problems and the discrete-continuum approximation
cites work: Funicular analysis of masonry vaults
cites work: A thrust network approach to the equilibrium problem of unreinforced masonry vaults via polyhedral stress functions
cites work: A mixed lumped stress-displacement approach to the elastic problem of masonry walls
cites work: Tensegrity Systems
cites work: Genesis of the multiscale approach for materials with microstructure
cites work: Voigt and Poincaré's mechanistic-energetic approaches to linear elasticity and suggestions for multiscale modelling
cites work: A unified interpretation of stress in molecular systems
cites work: A General Integral Representation Result for Continuum Limits of Discrete Energies with Superlinear Growth
cites work: Q3435543
cites work: A Derivation of Continuum Nonlinear Plate Theory from Atomistic Models
cites work: A derivation of linear elastic energies from pair-interaction atomistic systems
cites work: Higher-order macroscopic measures
cites work: On the passage from atomic to continuum theory for thin films
cites work: On the equilibrium and admissibility coupling in NT vaults of general shape
cites work: Q3827224
cites work: On the Cauchy—Born Rule
cites work: Q4073917
cites work: The finite element methods for elliptic problems.
cites work: NEW FICTITIOUS DOMAIN METHODS: FORMULATION AND ANALYSIS
cites work: Topological derivatives of shape functionals. I: Theory in singularly perturbed geometrical domains
cites work: Topological derivatives of shape functionals. II: First-order method and applications
cites work: Formulation and execution of structural topology optimization for practical design solutions
cites work: Multiple-load truss topology and sizing optimization: Some properties of minimax compliance
DOI: 10.1007/S10957-019-01572-1
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description: scientific article; zbMATH DE number 7348223