This paper is a review of the most influential approaches to developing beam models that
have been proposed over the last few decades. Essentially, primary attention has been paid …

A LARGE number of structures can be analyzed by means of one-dimensional (1-D)
formulations. Typical slender 1-D structures, which are usually denoted as beams, are …

This paper presents a new class of refined beam theories for static and dynamic analysis of
composite structures. These beam models are obtained by implementing higher-order …

Accurate stress prediction in composite laminates is crucial for safe design under different
loading conditions. Classical laminated theory, ie those based on the Euler-Bernoulli and …

This paper deals with the accurate evaluation of complete three-dimensional (3D) stress
fields in beam structures with compact and bridge-like sections. A refined beam finite …

This paper proposes a one-dimensional (1D) refined formulation for the analysis of
laminated composites which can model single fibers and related matrices, layers and …

This work extends advanced beam models to carry out a more accurate free-vibration
analysis of conventional (straight, or with sweep/dihedral angles) and joined wings. The …

Simple analytical and finite element models are widely employed by practising engineers for
the stress analysis of beam structures, because of their simplicity and acceptable levels of …

This paper proposes the use of Jacobi polynomials to approximate higher‐order theories of
beam, plate, and shell structures. The Carrera unified formulation is used in this context to …

The free vibration analysis of beam structures with compact and bridge-like sections is
presented in this paper. Refined beam models are used. Their derivation is embedded in the …