Families of 4-node and 9-node finite elements for a finite deformation shell theory. An assessment of hybrid stress, hybrid strain and enhanced strain elements

From MaRDI portal
Publication:1969200

DOI10.1007/s004660050003zbMath0959.74072OpenAlexW2061759371WikidataQ126080032 ScholiaQ126080032MaRDI QIDQ1969200

F. G. Kollmann, Carlo Sansour

Publication date: 16 March 2000

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s004660050003



Related Items

Geometric non-linear hexahedral elements with rotational DOFs, Finite element linear and nonlinear, static and dynamic analysis of structural elements, an addendum, Finite deformation higher-order shell models and rigid-body motions, Generalization of the \(C^1\) TUBA plate finite elements to the geometrically exact Kirchhoff-Love shell model, A stabilized hybrid-stress solid element for geometrically nonlinear homogeneous and laminated shell analyses, Nonlinear strain-displacement equations exactly representing large rigid-body motions. II: Enhanced finite element technique, Asymmetric quadrilateral shell elements for finite strains, A variational differential quadrature solution to finite deformation problems of hyperelastic shell-type structures: a two-point formulation in Cartesian coordinates, A simple triangular finite element for nonlinear thin shells: statics, dynamics and anisotropy, A seven-parameter spectral/\(hp\) finite element formulation for isotropic, laminated composite and functionally graded shell structures, Explicit modeling of matrix cracking and delamination in laminated composites with discontinuous solid-shell elements, Large deformation analysis of shell-type structures using the VDQ-transformed scheme: a two-point formulation based on 3D elasticity, A full-discontinuous Galerkin formulation of nonlinear Kirchhoff-Love shells: elasto-plastic finite deformations, parallel computation, and fracture applications, Large deformation of hyperelastic modified Timoshenko-Ehrenfest beams under different types of loads, A 3D Cosserat point element (CPE) for nonlinear orthotropic solids: Generalization for an initially distorted mesh and an arbitrary orientation of material orthotropy, A micropolar shell model for hard‐magnetic soft materials, Exact corotational shell for finite strains and fracture, Geometrically nonlinear analysis of cylindrical shells using the element-free kp-Ritz method, On Performance of Nine-Node Quadrilateral Shell Elements 9-EAS11 and MITC9i, Large elastic deformation of micromorphic shells. Part II. Isogeometric analysis, Large elastic deformation of micromorphic shells. Part I: Variational formulation, A discontinuous Galerkin formulation of non-linear Kirchhoff-Love shells, Shell curvature as an initial deformation: A geometrically exact finite element approach, An improved assumed strain solid-shell element formulation with physical stabilization for geometric non-linear applications and elastic-plastic stability analysis, Tensor-based finite element formulation for geometrically nonlinear analysis of shell structures, From nonlinear micromorphic to nonlinear micropolar shell theory, Finite element modeling of Kirchhoff‐Love shells as smooth material surfaces, Improved nine-node shell element MITC9i with reduced distortion sensitivity, A reduced integration solid-shell finite element based on the EAS and the ANS concept-Large deformation problems, On the performance of enhanced strain finite elements in large strain deformations of elastic shells, Nonlinear finite element analysis of functionally graded structures by enhanced assumed strain shell elements, A model of finite strain viscoplasticity based on unified constitutive equations. Theoretical and computational considerations with applications to shells, Analysis of 3D problems using a new enhanced strain hexahedral element, An alternative positional FEM formulation for geometrically nonlinear analysis of shells: Curved triangular isoparametric elements, 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, Geometrically Exact Nonlinear Extended-Reissner/Mindlin Shells: Fundamentals, Finite Element Formulation, Elasticity, Unconstrained finite element for geometrical nonlinear dynamics of shells, Meshless implementation of the geometrically exact Kirchhoff–Love shell theory, A semi-implicit finite strain shell algorithm using in-plane strains based on least-squares