Membrane finite elements have gained increasing importance since the early years of the
finite elements method due to their convenience to a wide range of plane and 3D shell …

The aim of this paper is to develop a generalized formula for the finite deformation analysis
of hyperelastic membranes under various geometry, material, and loading conditions that …

This contribution aims at developing a general formulation for the large deformation analysis
of membranes considering both hysteresis and viscoelastic effects. Firstly, the kinematics of …

In this work, the problem of finite generalized and viscoelastic deformation of thin
membranes with different geometries, made of incompressible hyperelastic materials, is …

Summary A recent unsymmetric 4‐node, 8‐DOF plane element US‐ATFQ4, which exhibits
excellent precision and distortion‐resistance for linear elastic problems, is extended to …

The unsymmetric finite element method is a promising technique to produce distortion‐
immune finite elements. In this work, a simple but robust 4‐node 12‐DOF unsymmetric …

We give the formulation and numerical assessment for using six degrees of freedom at each
node of 4-node continuum mechanics-based quadrilateral shell elements. The formerly …

In this paper, a new triangular membrane finite element with in-plane drilling rotation has
been developed using the strain-based approach for static and free vibration analyses. The …

A numerical solution using a strain-based quadrilateral finite element is presented to
analyse static and dynamic behaviours for membrane structures. The proposed quadrilateral …

We present a simple methodology to design curved shell finite elements based on Nzengwa-
Tagne's shell equations. The element has three degrees of freedom at each node. The …