Due to rapid development of boundary element method (BEM), this article explores the
evolution of BEM over the past half century. We here summarize the overall development …

The potential of the mixed formulation for physics-informed neural networks is investigated
in order to find a solution for a non-uniform beam resting on an elastic foundation and …

A modified continuum model of electrically actuated nanobeams is presented by
incorporating surface elasticity in this paper. The classical beam theory is adopted to model …

In this paper the Analog Equation Method (AEM) a boundary-only method is presented for
solving nonlinear static and dynamic problems in continuum mechanics. General bodies are …

In this paper an integral equation solution to the linear and geometrically nonlinear problem
of non-uniform in-plane shallow arches under a central concentrated force is presented …

In this paper a boundary integral equation solution to the nonlinear problem of non-uniform
beams resting on a nonlinear triparametric elastic foundation is presented, which permits …

The asymptotic development method is used to obtain approximate analytical expressions
for the natural frequencies of non-uniform cables and beams. By manipulating the first-order …

In this paper the analog equation method (AEM), a BEM-based method, is employed to the
non-linear dynamic analysis of a Bernoulli–Euler beam with variable stiffness undergoing …

In this paper, a boundary element method is developed for the nonuniform torsion of simply
or multiply connected bars of doubly symmetrical arbitrary constant cross section, taking into …

The response of slender bridge piers to horizontal actions may be significantly influenced by
geometric nonlinearities. In such conditions, the use of sophisticated models implemented in …