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 …

Engineering is evolving in the same way than society is doing. Nowadays, data is acquiring
a prominence never imagined. In the past, in the domain of materials, processes and …

This paper provides an overview of the modeling approaches adopted over the years to
develop shell theories for composite structures. Furthermore, it presents a method to assess …

This chapter presents an overview of model order reduction–a new paradigm in the field of
simulation‐based engineering sciences, and one that can tackle the challenges and …

This paper presents a tensor decomposition (TD) based reduced-order model of the
hierarchical deep-learning neural networks (HiDeNN). The proposed HiDeNN-TD method …

This paper presents the analysis of free vibration and stress state of steel–concrete
composite beams, using high-order theories and closed-form solutions based on Carrera …

Parametric solutions make possible fast and reliable real-time simulations which, in turn
allow real time optimization, simulation-based control and uncertainty propagation. This …

The use of mesh-based numerical methods for a 3D elasticity solution of thick plates
involves high computational costs. This particularly limits parametric studies and material …

Some industrial processes are modelled by parametric partial differential equations.
Integrating computational modelling and data assimilation into the control process requires …

Composites manufacturing processes usually involve multiscale models in both space and
time, highly non-linear and anisotropic behaviors, strongly coupled multiphysics and …