This paper discusses classical and refined beam and plate theories based on the Carrera
Unified Formulation (CUF). Attention is focussed on (but not limited to) a new refined beam …

This paper presents three beam Finite Element (FE) formulations developed for the analysis
of thin-walled structures. These account for out-of-plane cross-section warping by removing …

A linear model for beams with compact or thin-walled sections and heterogeneous
anisotropic materials is presented. It is obtained by means of a Ritz–Galerkin approximation …

Geometrically exact beams with torsion-warping deformation are studied. With three-
dimensional finite strains, the Wagner effects as well as initial curvature and twist are taken …

A new geometrically nonlinear model for homogeneous and isotropic beams with generic
section including non-uniform warping due to torsion and shear is derived. Each section is …

This paper presents a new approach to the analysis of thin-walled beams. The proposed
model is developed by utilizing the eXtended Finite Element Method (XFEM). Global …

This paper compares two distinct approaches for obtaining the cross-section deformation
modes of thin-walled members with deformable cross-section, namely the method of …

We present a geometrically nonlinear finite element formulation for analysis of functionally
graded 3D beams. The proposed formulation employs the continuum mechanics based …

In this paper an advanced 32× 32 stiffness matrix and the corresponding nodal load vector
of a 3-D beam element of arbitrary cross section taking into account shear deformation …

In this two-paper contribution, a general formulation for the nonuniform warping analysis of
composite beams of arbitrary simply or multiply connected cross sections, under arbitrary …