Isogeometric Kirchhoff–Love shell formulations for general hyperelastic materials

J Kiendl, MC Hsu, MCH Wu, A Reali - Computer Methods in Applied …, 2015 - Elsevier
We present formulations for compressible and incompressible hyperelastic thin shells which
can use general 3D constitutive models. The necessary plane stress condition is enforced …

A Comprehensive Comparative Review of Various Advanced Finite Elements to Alleviate Shear, Membrane and Volumetric Locking

DS Bombarde, LN Silla, SS Gautam… - Archives of Computational …, 2024 - Springer
Finite element analysis (FEA) is an extensively exercised numerical procedure to address
numerous problems in several engineering fields. However, the accuracy of conventional …

Phase-field modeling of brittle and ductile fracture in shells with isogeometric NURBS-based solid-shell elements

M Ambati, L De Lorenzis - Computer Methods in Applied Mechanics and …, 2016 - Elsevier
In this paper, we investigate fracture in shells with a phase-field modeling approach. The
shell model is based on solid-shell kinematics with small rotations and displacements and is …

A reduced integration solid‐shell finite element based on the EAS and the ANS concept—Large deformation problems

M Schwarze, S Reese - International Journal for Numerical …, 2011 - Wiley Online Library
In this paper we address the extension of a recently proposed reduced integration eight‐
node solid‐shell finite element to large deformations. The element requires only one …

A reduced integration solid‐shell finite element based on the EAS and the ANS concept—Geometrically linear problems

M Schwarze, S Reese - International Journal for Numerical …, 2009 - Wiley Online Library
In this paper a new reduced integration eight‐node solid‐shell finite element is presented.
The enhanced assumed strain (EAS) concept based on the Hu–Washizu variational …

A new one‐point quadrature enhanced assumed strain (EAS) solid‐shell element with multiple integration points along thickness: Part I—geometrically linear …

RJ Alves de Sousa, RPR Cardoso… - … journal for numerical …, 2005 - Wiley Online Library
Accuracy and efficiency are the main features expected in finite element method. In the field
of low‐order formulations, the treatment of locking phenomena is crucial to prevent poor …

A new one‐point quadrature enhanced assumed strain (EAS) solid‐shell element with multiple integration points along thickness—part II: nonlinear applications

RJ Alves de Sousa, RPR Cardoso… - … journal for numerical …, 2006 - Wiley Online Library
In this work the recently proposed Reduced Enhanced Solid‐Shell (RESS) finite element,
based on the enhanced assumed strain (EAS) method and a one‐point quadrature …

On the Assumed Natural Strain method to alleviate locking in solid-shell NURBS-based finite elements

JF Caseiro, RAF Valente, A Reali, J Kiendl… - Computational …, 2014 - Springer
In isogeometric analysis (IGA), the functions used to describe the CAD geometry (such as
NURBS) are also employed, in an isoparametric fashion, for the approximation of the …

Assumed natural strain NURBS-based solid-shell element for the analysis of large deformation elasto-plastic thin-shell structures

JF Caseiro, RAF Valente, A Reali, J Kiendl… - Computer Methods in …, 2015 - Elsevier
In this work, a recently proposed quadratic NURBS-based solid-shell element based on the
Assumed Natural Strain (ANS) method is applied in the analysis of shell-like structures in the …

Hourglassing‐and locking‐free mesh distortion insensitive Petrov–Galerkin EAS element for large deformation solid mechanics

R Pfefferkorn, P Betsch - International Journal for Numerical …, 2023 - Wiley Online Library
We present a novel geometrically nonlinear EAS element with several desirable features.
First, a Petrov–Galerkin ansatz significantly improves the element's performance in distorted …