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Numerical treatment of a geometrically nonlinear planar Cosserat shell model (Q296044)

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Language	Label	Description	Also known as
English	Numerical treatment of a geometrically nonlinear planar Cosserat shell model	scientific article

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scholarly article

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Numerical treatment of a geometrically nonlinear planar Cosserat shell model (English)

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Computational Mechanics

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publication date

14 June 2016

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full work available at URL

https://arxiv.org/abs/1412.3668

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zbMATH Keywords

Reissner-Mindlin plate

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numerical methods

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nonlinear

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Cosserat

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shell

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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An Extrinsic Look at the Riemannian Hessian

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Finite element method - The natural approach

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Constraint preserving implicit finite element discretization of harmonic map flow into spheres

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A generic grid interface for parallel and adaptive scientific computing. II: Implementation and tests in DUNE

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Existence theorems in the geometrically non-linear 6-parameter theory of elastic plates

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Existence of minimizers in the geometrically non-linear 6-parameter resultant shell theory with drilling rotations

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Trust Region Methods

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Objectivity of strain measures in the geometrically exact three-dimensional beam theory and its finite-element implementation

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Treatment of Reissner-Mindlin shells with Kinks without the need for drilling rotation stabilization in an isogeometric framework

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Isogeometric Reissner-Mindlin shell analysis with exactly calculated director vectors

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Local symmetry group in the general theory of elastic shells

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Evaluating Derivatives

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Optimal a priori discretization error bounds for geodesic finite elements

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Newton's method, zeroes of vector fields, and the Riemannian center of mass

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A nonlinear composite shell element with continuous interlaminar shear stresses

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Scale resolution, locking, and high-order finite element modelling of shells

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Riemannian center of mass and mollifier smoothing

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Probability, Convexity, and Harmonic Maps with Small Image I: Uniqueness and Fine Existence

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The Nonlinear Theory of Elastic Shells

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On Korn's first inequality with non-constant coefficients

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A geometrically exact Cosserat shell-model including size effects, avoiding degeneracy in the thin shell limit. I: Formal dimensional reduction for elastic plates and existence of minimizers for positive Cosserat couple modulus

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A geometrically exact viscoplastic membrane-shell with viscoelastic transverse shear resistance avoiding degeneracy in the thin-shell limit. I: The viscoelastic membrane-plate

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The Cosserat couple modulus for continuous solids is zero viz the linearized Cauchy-stress tensor is symmetric

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A GEOMETRICALLY EXACT PLANAR COSSERAT SHELL-MODEL WITH MICROSTRUCTURE: EXISTENCE OF MINIMIZERS FOR ZERO COSSERAT COUPLE MODULUS

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Symmetric Cauchy stresses do not imply symmetric Biot strains in weak formulations of isotropic hyperelasticity with rotational degrees of freedom

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THE REISSNER–MINDLIN PLATE IS THE Γ-LIMIT OF COSSERAT ELASTICITY

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The relaxed linear micromorphic continuum: Existence, uniqueness and continuous dependence in dynamics

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Band gaps in the relaxed linear micromorphic continuum

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Geodesic finite elements on simplicial grids

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Geodesic finite elements of higher order

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Anisotropic polyconvex energies on the basis of crystallographic motivated structural tensors

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On a stress resultant geometrically exact shell model. I: Formulation and optimal parametrization

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A three-dimensional finite-strain rod model. II. Computational aspects

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On a stress resultant geometrically exact shell model. III: Computational aspects of the nonlinear theory

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Koiter's shell theory from the perspective of three-dimensional nonlinear elasticity

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Spatial resolution of wrinkle patterns in thin elastic sheets at finite strain

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A geometrically exact thin membrane model—investigation of large deformations and wrinkling

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Thin shells with finite rotations formulated in biot stresses: Theory and finite element formulation

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1007/S00466-016-1263-5

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Mathematics(1 entry)

mardi Publication:296044

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