Intrinsic mixed-dimensional beam-shell-solid couplings in linear Cosserat continua via tangential differential calculus
From MaRDI portal
Publication:6641926
DOI10.1016/j.cma.2024.117384MaRDI QIDQ6641926
Andreas Zilian, Stéphane Pierre Alain Bordas, Adam Sky, Jack S. Hale, Patrizio Neff
Publication date: 21 November 2024
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
finite element methodplate elementsbeam elementsshell elementsmixed-dimensional couplingvolume elementsCosserat micropolar continua
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) Shells (74K25)
Cites Work
- Unnamed Item
- Transversely isotropic material: nonlinear Cosserat versus classical approach
- Finite element modeling of a linear membrane shell problem using tangential differential calculus
- A new family of mixed finite elements in \({\mathbb{R}}^ 3\)
- Existence theorem for geometrically nonlinear Cosserat micropolar model under uniform convexity requirements
- A geometrically-exact rod model incorporating shear and torsion-warping deformation
- A constrained Cosserat shell model up to order \(O(h^5)\): modelling, existence of minimizers, relations to classical shell models and scaling invariance of the bending tensor
- Simple shear in nonlinear Cosserat elasticity: bifurcation and induced microstructure
- Nonlinear microstrain theories
- A mesh-geometry based method for coupling 1D and 3D elements
- A continuum theory of elastic material surfaces
- NETGEN: An advancing front 2D/3D-mesh generator based on abstract rules
- A new view on boundary conditions in the grioli-Koiter-Mindlin-toupin indeterminate couple stress model
- The TDNNS method for Reissner-Mindlin plates
- Numerical procedure to couple shell to solid elements by using Nitsche's method
- Reissner-Mindlin shell theory based on tangential differential calculus
- A mortar-type finite element approach for embedding 1D beams into 3D solid volumes
- Kirchhoff-Love shell theory based on tangential differential calculus
- Avoiding membrane locking with Regge interpolation
- Korn inequalities for incompatible tensor fields in three space dimensions with conformally invariant dislocation energy
- Stable and accurate numerical methods for generalized Kirchhoff-Love plates
- Consistent coupling of positions and rotations for embedding 1D Cosserat beams into 3D solid volumes
- On invariance of spatial isogeometric Timoshenko-Ehrenfest beam formulations for static analysis
- Nitsche's finite element method for model coupling in elasticity
- Isogeometric analysis of thin Reissner-Mindlin shells: locking phenomena and B-bar method
- The isotropic Cosserat shell model including terms up to \(O(h^5)\). I: Derivation in matrix notation
- The isotropic Cosserat shell model including terms up to \(O(h^5)\). II: Existence of minimizers
- Isogeometric collocation methods for Cosserat rods and rod structures
- Variational formulation of curved beams in global coordinates
- Tangential differential calculus and the finite element modeling of a large deformation elastic membrane problem
- Micro-structure in linear elasticity
- A unifying perspective: the relaxed linear micromorphic continuum
- A hybrid \(H^1\times H(\operatorname{curl})\) finite element formulation for a relaxed micromorphic continuum model of antiplane shear
- Primal and mixed finite element formulations for the relaxed micromorphic model
- An isogeometric finite element formulation for frictionless contact of Cosserat rods with unconstrained directors
- Coupling 2D continuum and beam elements: a mixed formulation for avoiding spurious stresses
- Geometrically exact isogeometric Bernoulli-Euler beam based on the Frenet-Serret frame
- Traces for Hilbert complexes
- THE REISSNER–MINDLIN PLATE IS THE Γ-LIMIT OF COSSERAT ELASTICITY
- Existence, Uniqueness and Stability in Linear Cosserat Elasticity for Weakest Curvature Conditions
- A NUMERICAL SOLUTION METHOD FOR AN INFINITESIMAL ELASTO-PLASTIC COSSERAT MODEL
- A new paradigm: the linear isotropic Cosserat model with conformally invariant curvature energy
- Shear stresses in prismatic beams with arbitrary cross-sections
- Microcontinuum Field Theories
- The Legendre–Hadamard condition in Cosserat elasticity theory
- Refined dimensional reduction for isotropic elastic Cosserat shells with initial curvature
- Assembly of Multiscale Linear PDE Operators
- A numerical study for linear isotropic Cosserat elasticity with conformally invariant curvature
- Curl bounds Grad on SO(3)
- A spatially curved‐beam element with warping and Wagner effects
- Tensor algebra and tensor analysis for engineers. With applications to continuum mechanics
- Higher order Bernstein-Bézier and Nédélec finite elements for the relaxed micromorphic model
- A linear isotropic Cosserat shell model including terms up to \(O(h^5)\). Existence and uniqueness
- A total Lagrangian, objective and intrinsically locking‐free Petrov–Galerkin SE(3) Cosserat rod finite element formulation
- A Reissner-Mindlin plate formulation using symmetric Hu-Zhang elements via polytopal transformations
- A geometrically nonlinear Cosserat shell model for orientable and non-orientable surfaces: discretization with geometric finite elements
- Scaled boundary isogeometric analysis with \(C^1\) coupling for Kirchhoff plate theory
- On the simultaneous solution of structural membranes on all level sets within a bulk domain
- Novel \(H(\mathrm{sym\,Curl})\)-conforming finite elements for the relaxed micromorphic sequence
- Hilbert complexes with mixed boundary conditions part 1: de Rham complex
- The generation of triangular meshes for NURBS-enhanced FEM
- Simultaneous analysis of continuously embedded Reissner-Mindlin shells in 3D bulk domains
This page was built for publication: Intrinsic mixed-dimensional beam-shell-solid couplings in linear Cosserat continua via tangential differential calculus