Machine learning techniques have emerged as potential alternatives to traditional physics-based modeling and partial differential equation solvers. Among these machine techniques, Graph Neural Networks (GNNs) simulate physics via graph models; GNNs embed relevant physical features into data structures, perform message passing within the graphs, produce new attributes based on system’s relations...

For both linear and nonlinear analysis, finite element method (FEM) software packages, whether commercial or in-house, have contributed significantly to ease the analysis of simple complex structures with various working conditions. However, literature offers other discretization techniques equally accurate, which show a higher meshing flexibility, such as meshless methods. Thus, in this work, ...

In recent years, non-standard fictitious domain techniques [1] like the Finite Cell Method (FCM) have gained increasing interest in the context of high order methods or the integration of engineering design and numerical analysis [2]. One of the most important advantages of these methods compared to mesh-based finite element schemes is the possibility to circumvent any time-consuming mesh gener...

One of the main advantages of the Gantry-Tau machine is a large accessible workspace/footprint ratio compared to many other parallel machines. The Gantry-Tau improves this ration further by allowing a change of assembly mode without internal link collisions or collisions between the links and end-effector. The reconfigurable Gantry-Tau kinematic design obtained by multi-objective optimisation a...

The Meshless Local Petrov-Galerkin (MLPG) method is used to analyze transient deformations near either a crack or a notch tip in a linear elastic plate. The local weak formulation of equations governing elastodynamic deformations is derived. It results in a system of coupled ordinary differential equations which are integrated with respect to time by a Newmark family of methods. Essential bound...

We propose a coupled model to simulate shallow water waves induced by elastic deformations in the bed topography. The governing equations consist of the depth-averaged including friction terms for freesurface and well-known second-order elastostatics formulation deformation. perturbation on free-surface is assumed be caused by sudden change bottom beds. At interface between flow topography, ...