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It is well known that many structural and physical problems cannot be solved by analytical approaches. These problems require the development of numerical methods to get approximate but accurate solutions. The minite element method (FEM) represents one of the most typical methodologies that can be used to achieve this aim, due to its simple implementation, easy adaptability, and very good accuracy. For these reasons, the FEM is a widespread technique which is employed in many engineering fields, such as civil, mechanical, and aerospace engineering. The large-scale deployment of powerful computers and the consequent recent improvement of the computational resources have provided the tools to develop numerical approaches that are able to solve more complex structural systems characterized by peculiar mechanical configurations. Laminated or multi-phase composites, structures made of innovative materials, and nanostructures are just some examples of applications that are commonly and accurately solved by the FEM. Analogously, the same numerical approaches can be employed to validate the results of experimental tests. The main aim of this Special Issue is to collect numerical investigations focused on the use of the finite element method

beam element --- Quasi-3D --- static bending --- functionally graded beam --- Monte Carlo method --- coalbed methane --- stochastic fracture network --- fracture geometric parameters --- dual-porosity and dual-permeability media --- finite element method --- three-phase composite materials --- Finite Element modeling --- sandwich plates --- zig-zag theory --- carbon nanotubes --- free vibrations --- soda-lime glass --- cohesive zone model --- rate-dependent --- impact loading --- finite element --- FGM --- plate --- material-oriented shape functions --- NURBS --- Finite elements --- finite bending --- 3D elasticity --- Eulerian slenderness --- compactness index --- Searle parameter --- Elastica --- pultruded beams --- effective stiffness matrix --- FRP --- hollow circular beams --- rigid finite element method --- composite --- steel-polymer concrete --- machine tool --- multibody system --- orthotropic failure criteria --- implementation --- plasticity --- masonry --- geometric nonlinearity --- FEM --- thermoelasticity --- bowing --- transient heat flux --- acoustic black holes --- acoustic-oriented design --- additive manufacturing --- vibroacoustics --- material parameter identification --- model order reduction --- reinforced concrete --- finite element analysis --- crack band --- strain localization --- post-peak softening --- viscoplastic regularization --- convergence --- mesh sensitivity --- bond–slip --- flexural behavior --- n/a --- bond-slip

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Multibody systems with flexible elements represent mechanical systems composed of many elastic (and rigid) interconnected bodies meeting a functional, technical, or biological assembly. The displacement of each or some of the elements of the system is generally large and cannot be neglected in mechanical modeling. The study of these multibody systems covers many industrial fields, but also has applications in medicine, sports, and art. The systematic treatment of the dynamic behavior of interconnected bodies has led to an important number of formalisms for multibody systems within mechanics. At present, this formalism is used in large engineering fields, especially robotics and vehicle dynamics. The formalism of multibody systems offers a means of algorithmic analysis, assisted by computers, and a means of simulating and optimizing an arbitrary movement of a possibly high number of elastic bodies in the connection. The domain where researchers apply these methods are robotics, simulations of the dynamics of vehicles, biomechanics, aerospace engineering (helicopters and the behavior of cars in a gravitational field), internal combustion engines, gearboxes, transmissions, mechanisms, the cellulose industry, simulation of particle behavior (granulated particles and molecules), dynamic simulation, military applications, computer games, medicine, and rehabilitation.

Technology: general issues --- History of engineering & technology --- symmetry --- asymmetry --- measure of skewness --- decile --- Monte Carlo algorithm --- Gibbs–Appell --- energy of accelerations --- finite element --- nonlinear system --- elastic elements --- analytical dynamics --- robotics --- Hilbert’s inequality --- Fubini theorem --- Fenchel-Legendre transform --- time scale --- fractional derivative --- skin tissues --- thermal damages --- Laplace transforms --- Kane’s equations --- planar mechanism --- Lagrange’s equations --- dynamics --- finite element method (FEM) --- multibody system (MBS) --- wind water pump --- strands wire rope --- experimental transitory vibrating regime --- stiffness --- damping --- joint time-frequency analysis --- Prony method --- matrix pencil method --- multibody --- propulsion drive --- linear motion --- eccentric trajectory --- reusable launch vehicles --- soft landing --- magnetorheological fluid --- numerical simulation --- multibody systems with flexible elements --- elastic bonds --- vibrations --- initial matrix --- stiffness matrix --- stability --- laser --- nuclear installation --- insulation --- Extreme Light Infrastructure --- gamma ray --- flexible coupling --- bolt --- non-metallic element --- finite element method --- elastic characteristic --- Light Sport Aircraft --- conceptual aircraft design --- wing --- flap --- aileron --- weight estimation --- symmetric profile --- sustainability --- mosquito borne diseases --- Aedes Aegypti --- Wolbachia invasion --- impulsive control --- time scales --- Noether theory --- conserved quantity --- elastic coupling --- non-metallic elements --- dynamic rigidity --- non-collinearly shafts --- n/a --- Gibbs-Appell --- Hilbert's inequality --- Kane's equations --- Lagrange's equations