Optimal solid shells for nonlinear analyses of multilayer composites. I: Statics.
From MaRDI portal
Publication:1400245
DOI10.1016/S0045-7825(02)00435-8zbMath1091.74524OpenAlexW4249004860MaRDI QIDQ1400245
Publication date: 13 August 2003
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0045-7825(02)00435-8
assumed natural strain methodenhanced assumed strain formulationslow-order solid-shell elementmixed Fraeijs de Veubeke-Hu-Washizu variational principle
Finite element methods applied to problems in solid mechanics (74S05) Composite and mixture properties (74E30) Shells (74K25)
Related Items (86)
Geometric non-linear hexahedral elements with rotational DOFs ⋮ Discrepancies of energy values in dynamics of three intersecting plates ⋮ On the resolution of transverse stresses in solid-shells with a multi-layer formulation ⋮ A mixed solid-shell element for the analysis of laminated composites ⋮ A nonlinear plate finite element formulation for shape memory alloy applications ⋮ Finite Element Formulations for Beam-to-Solid Interaction–from Embedded Fibers Towards Contact ⋮ A solid-shell Cosserat point element (SSCPE) for elastic thin structures at finite deformation ⋮ Nonlinear formulations of a four-node quasi-conforming shell element ⋮ A new axi-symmetric element for thin walled structures ⋮ A co-rotational quasi-conforming 4-node resultant shell element for large deformation elasto-plastic analysis ⋮ Refined shell model for the linear analysis of isotropic and composite elastic structures ⋮ A novel versatile multilayer hybrid stress solid-shell element ⋮ Phase field modeling of brittle fracture for enhanced assumed strain shells at large deformations: formulation and finite element implementation ⋮ A natural neighbour method based on Fraeijs de Veubeke variational principle for materially non-linear problems ⋮ ESL based cylindrical shell elements with hierarchical shape functions for laminated composite shells ⋮ A global-local discontinuous Galerkin finite element for finite-deformation analysis of multilayered shells ⋮ Explicit modeling of matrix cracking and delamination in laminated composites with discontinuous solid-shell elements ⋮ A nine nodes solid-shell finite element with enhanced pinching stress ⋮ Phase field modeling of brittle fracture in large-deformation solid shells with the efficient quasi-Newton solution and global-local approach ⋮ Application of the continuum shell finite element SHB8PS to sheet forming simulation using an extended large strain anisotropic elastic-plastic formulation ⋮ A simple reduced integration hexahedral solid-shell element for large strains ⋮ An optimal versatile partial hybrid stress solid-shell element for the analysis of multilayer composites ⋮ A solid-shell corotational element based on ANDES, ANS and EAS for geometrically nonlinear structural analysis ⋮ A four-node corotational quadrilateral elastoplastic shell element using vectorial rotational variables ⋮ Analysis of the integration of cohesive elements in regard to utilization of coarse mesh in laminated composite materials ⋮ A new reduced integration solid-shell element based on EAS and ANS with hourglass stabilization ⋮ A mixed integration point (MIP) formulation for hyperelastic Kirchhoff-Love shells for nonlinear static and dynamic analysis ⋮ A dual decomposition of the closest point projection in incremental elasto‐plasticity using a mixed shell finite element ⋮ Reduced representations of assumed fields for Hu-Washizu solid-shell element ⋮ Optimal solid shells for nonlinear analyses of multilayer composites. II: Dynamics. ⋮ An extensible double director 3D shell formulation for FGM-CNTRC shell bending analysis ⋮ An efficient solid shell material point method for large deformation of thin structures ⋮ New robust and efficient global iterations for large deformation finite element analysis of beams and shells with material nonlinearity ⋮ A modified first shear deformation theory for three-dimensional thermal post-buckling analysis of FGM plates ⋮ A partial hybrid stress solid-shell element for the analysis of laminated composites ⋮ Optimal low-order fully integrated solid-shell elements ⋮ Improved-FSDT-based solid-shell element for buckling analysis of plate, spherical cap, and cylindrical shell of FG porous materials ⋮ An unsymmetric 8-node hexahedral solid-shell element based on ANS and incompatible concepts for thin shell analysis ⋮ Adaptive fuzzy control for attitude stabilization of spacecraft with deployable composite laminated solar array ⋮ Sheet metal forming and springback simulation by means of a new reduced integration solid-shell finite element technology ⋮ A scaled thickness conditioning for solid- and solid-shell discretizations of thin-walled structures ⋮ A global-local discontinuous Galerkin shell finite element for small-deformation analysis of multi-layered composites ⋮ A ``prism solid element for large strain shell analysis ⋮ Efficient hybrid-EAS solid element for accurate stress prediction in thick laminated beams, plates, and shells ⋮ A stress-resultant shell theory based on multiscale homogenization ⋮ Development of a non-linear triangular prism solid-shell element using ANS and EAS techniques ⋮ Failure optimization of geometrically linear/nonlinear laminated composite structures using a two-step hierarchical model adaptivity ⋮ Nonlinear buckling optimization of composite structures ⋮ Fluid-structure interaction for non-conforming interfaces based on a dual mortar formulation ⋮ A solid-shell finite element method for the anisotropic swelling of hydrogels with reinforced fibers ⋮ A reduced integration solid-shell finite element based on the EAS and the ANS concept-Geometrically linear problems ⋮ An improved assumed strain solid-shell element formulation with physical stabilization for geometric non-linear applications and elastic-plastic stability analysis ⋮ Smoothed finite element method implemented in a resultant eight-node solid-shell element for geometrical linear analysis ⋮ New quadratic solid-shell elements and their evaluation on linear benchmark problems ⋮ Tensor-based finite element formulation for geometrically nonlinear analysis of shell structures ⋮ A co-rotational triangular finite element for large deformation analysis of smooth, folded and multi-shells ⋮ A reduced integration-based solid-shell finite element formulation for gradient-extended damage ⋮ A new one-point quadrature enhanced assumed strain (EAS) solid-shell element with multiple integration points along thickness: Part I-geometrically linear applications ⋮ An isogeometric formulation of the Koiter's theory for buckling and initial post-buckling analysis of composite shells ⋮ On the use of EAS solid‐shell formulations in the numerical simulation of incremental forming processes ⋮ A hybridizable discontinuous Galerkin method for both thin and 3D nonlinear elastic structures ⋮ A reduced integration solid-shell finite element based on the EAS and the ANS concept-Large deformation problems ⋮ Equivalent-single-layer discontinuous Galerkin methods for static analysis of multilayered shells ⋮ A mortar-type finite element approach for embedding 1D beams into 3D solid volumes ⋮ One-point quadrature ANS solid-shell element based on a displacement variational formulation. I: Geometrically linear assessment ⋮ A Cosserat shell model for interphases in elastic media ⋮ Higher-order shell elements based on a Cosserat model, and their use in the topology design of structures ⋮ Enhanced assumed strain (EAS) and assumed natural strain (ANS) methods for one-point quadrature solid-shell elements ⋮ On a physically stabilized one point finite element formulation for three-dimensional finite elasto-plasticity ⋮ A robust nonlinear solid shell element based on a mixed variational formulation ⋮ One point quadrature shell element with through-thickness stretch ⋮ A dual mortar approach for 3D finite deformation contact with consistent linearization ⋮ On the assumed natural strain method to alleviate locking in solid-shell NURBS-based finite elements ⋮ Continuous stress distribution following transverse direction for FEM orthotropic laminated plates and shells ⋮ 8-node unsymmetric distortion-immune element based on Airy stress solutions for plane orthotropic problems ⋮ Assessment of 4-node EAS-ANS shell elements for large deformation analysis ⋮ 4-node combined shell element with semi-EAS-ANS strain interpolations in 6-parameter shell theories with drilling degrees of freedom ⋮ How to improve efficiency and robustness of the Newton method in geometrically non-linear structural problem discretized via displacement-based finite elements ⋮ Concurrently coupled solid shell-based adaptive multiscale method for fracture ⋮ Geometrically nonlinear dynamic formulation for three-dimensional co-rotational solid elements ⋮ An efficient isogeometric solid-shell formulation for geometrically nonlinear analysis of elastic shells ⋮ A novel displacement-based Trefftz plate element with high distortion tolerance for orthotropic thick plates ⋮ Consistent coupling of positions and rotations for embedding 1D Cosserat beams into 3D solid volumes ⋮ On the physical meaning of the dynamical equations governing geometrically-exact multilayer shells ⋮ A new shell formulation using complete 3D constitutive laws ⋮ A stabilized co-rotational curved quadrilateral composite shell element
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On a stress resultant geometrically exact shell model. IV: Variable thickness shells with through-the-thickness stretching
- Complementary mixed finite element formulations for elastoplasticity
- Refined shear-deformation models for composite laminates with finite rotations
- Nonlinear shell formulations for complete three-dimensional constitutive laws including composites and laminates
- The finite element patch test revisited. A computer test for convergence, validation and error estimates
- Large elasto-plastic finite element analysis of solids and shells with the enhanced assumed strain concept
- Geometrically-exact sandwich shells: The static case
- On the physical significance of higher-order kinematic and static variables in a three-dimensional shell formulation
- Multilayer shells: Geometrically-exact formulation of equations of motion
- On a stress resultant geometrically exact shell model. III: Computational aspects of the nonlinear theory
- A nonlinear extensible 4-node shell element based on continuum theory and assumed strain interpolations
- A theoretical and computational model for isotropic elastoplastic stress analysis in shells at large strains
- A 4-node finite shell element for the implementation of general hyperelastic 3D-elasticity at finite strains
- General Multilayer Geometrically-Exact Beams/1-D Plates with Deformable Layer Thickness: Equations of Motion
- Energy and momentum conserving elastodynamics of a non-linear brick-type mixed finite shell element
- On the Original Publication of the General Canonical Functional of Linear Elasticity
- An engineers' defence of the patch test
- Hybrid stress reduced-Mindlin elements for thin multilayer plates
- On the Variational Foundations of Assumed Strain Methods
- The patch test—a condition for assessing FEM convergence
- Finite Elements Based Upon Mindlin Plate Theory With Particular Reference to the Four-Node Bilinear Isoparametric Element
- Geometrically non-linear enhanced strain mixed methods and the method of incompatible modes
- A non-conforming element for stress analysis
- A simple quadrilateral shell element
- A systematic development of ‘solid-shell’ element formulations for linear and non-linear analyses employing only displacement degrees of freedom
- Three‐dimensional extension of non‐linear shell formulation based on the enhanced assumed strain concept
- General Multilayer Geometrically‐Exact Beams and 1‐D Plates with Piecewise Linear Section Deformation
- A geometrical non-linear brick element based on the EAS-method
- A hybrid stress ANS solid-shell element and its generalization for smart structure modelling. Part I?solid-shell element formulation
- A continuum‐based shell theory for non‐linear applications
- An assumed strain approach avoiding artificial thickness straining for a non‐linear 4‐node shell element
- Galerkin Projection for Geometrically Exact Sandwich Beams Allowing for Ply Drop-off
- From Reissner Plate Theory to Three Dimensions in Large Deformation Shell Analysis
- A class of mixed assumed strain methods and the method of incompatible modes
- EAS‐elements for two‐dimensional, three‐dimensional, plate and shell structures and their equivalence to HR‐elements
- Efficient and accurate multilayer solid-shell element: non-linear materials at finite strain
- Harmonic Dispersion Analysis of Incremental Waves in Uniaxially Prestressed Plastic and Viscoplastic Bars, Plates, and Unbounded Media
- Geometrically exact sandwich shells: The dynamic case.
This page was built for publication: Optimal solid shells for nonlinear analyses of multilayer composites. I: Statics.