Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This Special Issue of the journal Symmetry contains a collection of papers devoted to the use of symmetry in finite element approximation of partial differential equations. More specifically, applications ranging from mechanical engineering to electromagnetics and fluid dynamics are considered. Both theoretical and computational aspects are considered. The contributions were selected to ensure the widest variety of themes. In particular, we wanted to include both theoretical papers (well posedness, stability) and numerical computations.

Research & information: general --- Mathematics & science --- Oseen problem --- corner singularity --- weighted finite element method --- preconditioning --- symmetric boundary condition --- pattern formation --- computational design --- finite-element method --- three-layer composite shell --- Mindlin plate theory --- finite element method --- force vibration --- FGMshells --- edge-based smoothed finite element method (ES-FEM) --- mixed interpolation of tensorial components (MITC) --- electromagnetic scattering --- time-harmonic electromagnetic fields --- moving media --- rotating axisymmetric objects --- bianisotropic media --- variational formulation --- well posedness --- convergence of the approximation --- Oseen problem --- corner singularity --- weighted finite element method --- preconditioning --- symmetric boundary condition --- pattern formation --- computational design --- finite-element method --- three-layer composite shell --- Mindlin plate theory --- finite element method --- force vibration --- FGMshells --- edge-based smoothed finite element method (ES-FEM) --- mixed interpolation of tensorial components (MITC) --- electromagnetic scattering --- time-harmonic electromagnetic fields --- moving media --- rotating axisymmetric objects --- bianisotropic media --- variational formulation --- well posedness --- convergence of the approximation

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This Special Issue of the journal Symmetry contains a collection of papers devoted to the use of symmetry in finite element approximation of partial differential equations. More specifically, applications ranging from mechanical engineering to electromagnetics and fluid dynamics are considered. Both theoretical and computational aspects are considered. The contributions were selected to ensure the widest variety of themes. In particular, we wanted to include both theoretical papers (well posedness, stability) and numerical computations.

Oseen problem --- corner singularity --- weighted finite element method --- preconditioning --- symmetric boundary condition --- pattern formation --- computational design --- finite-element method --- three-layer composite shell --- Mindlin plate theory --- finite element method --- force vibration --- FGMshells --- edge-based smoothed finite element method (ES-FEM) --- mixed interpolation of tensorial components (MITC) --- electromagnetic scattering --- time-harmonic electromagnetic fields --- moving media --- rotating axisymmetric objects --- bianisotropic media --- variational formulation --- well posedness --- convergence of the approximation

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

The broad use of composite materials and shell structural members with complex geometries in technologies related to various branches of engineering has gained increased attention from scientists and engineers for the development of even more refined approaches and investigation of their mechanical behavior. It is well known that composite materials are able to provide higher values of strength stiffness, and thermal properties, together with conferring reduced weight, which can affect the mechanical behavior of beams, plates, and shells, in terms of static response, vibrations, and buckling loads. At the same time, enhanced structures made of composite materials can feature internal length scales and non-local behaviors, with great sensitivity to different staking sequences, ply orientations, agglomeration of nanoparticles, volume fractions of constituents, and porosity levels, among others. In addition to fiber-reinforced composites and laminates, increased attention has been paid in literature to the study of innovative components such as functionally graded materials (FGMs), carbon nanotubes (CNTs), graphene nanoplatelets, and smart constituents. Some examples of smart applications involve large stroke smart actuators, piezoelectric sensors, shape memory alloys, magnetostrictive and electrostrictive materials, as well as auxetic components and angle-tow laminates. These constituents can be included in the lamination schemes of smart structures to control and monitor the vibrational behavior or the static deflection of several composites. The development of advanced theoretical and computational models for composite materials and structures is a subject of active research and this is explored here for different complex systems, including their static, dynamic, and buckling responses; fracture mechanics at different scales; the adhesion, cohesion, and delamination of materials and interfaces.

Technology: general issues --- dynamic stability --- elastomeric foundation --- Eringen's differential constitutive model --- graphene sheet --- temperature-dependent properties --- basement bottom reinforcement --- reinforcement depth --- Young's modulus of reinforced soil --- tunnel heave --- numerical analysis --- epistemic uncertainty --- evidence theory --- robust optimization --- sensor design --- near-field earthquake --- fling-step --- far-field --- simultaneous excitation --- special moment frame (SMF) --- advanced model --- precise prediction --- circular foundation pit --- tunnel deformation --- composite --- stochastic --- natural frequency --- uncertainty --- metro constructions --- shield tunnel --- ground settlement --- soil displacement --- analytical --- Mindlin solution --- EELS --- plasmons vibrational modes --- nanoparticles --- nonlocal and size-dependent dielectric --- nanoparticle suspension --- Brownian motion --- spectral thermal pulsing --- DEM simulations --- Nano-device applications --- stratum movements --- mirror source-sink method --- centrifuge modelling test --- transport --- palletized goods --- damage --- bottle --- buckling --- Polyethylene terephthalate (PET) --- dynamic stability --- elastomeric foundation --- Eringen's differential constitutive model --- graphene sheet --- temperature-dependent properties --- basement bottom reinforcement --- reinforcement depth --- Young's modulus of reinforced soil --- tunnel heave --- numerical analysis --- epistemic uncertainty --- evidence theory --- robust optimization --- sensor design --- near-field earthquake --- fling-step --- far-field --- simultaneous excitation --- special moment frame (SMF) --- advanced model --- precise prediction --- circular foundation pit --- tunnel deformation --- composite --- stochastic --- natural frequency --- uncertainty --- metro constructions --- shield tunnel --- ground settlement --- soil displacement --- analytical --- Mindlin solution --- EELS --- plasmons vibrational modes --- nanoparticles --- nonlocal and size-dependent dielectric --- nanoparticle suspension --- Brownian motion --- spectral thermal pulsing --- DEM simulations --- Nano-device applications --- stratum movements --- mirror source-sink method --- centrifuge modelling test --- transport --- palletized goods --- damage --- bottle --- buckling --- Polyethylene terephthalate (PET)

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

The broad use of composite materials and shell structural members with complex geometries in technologies related to various branches of engineering has gained increased attention from scientists and engineers for the development of even more refined approaches and investigation of their mechanical behavior. It is well known that composite materials are able to provide higher values of strength stiffness, and thermal properties, together with conferring reduced weight, which can affect the mechanical behavior of beams, plates, and shells, in terms of static response, vibrations, and buckling loads. At the same time, enhanced structures made of composite materials can feature internal length scales and non-local behaviors, with great sensitivity to different staking sequences, ply orientations, agglomeration of nanoparticles, volume fractions of constituents, and porosity levels, among others. In addition to fiber-reinforced composites and laminates, increased attention has been paid in literature to the study of innovative components such as functionally graded materials (FGMs), carbon nanotubes (CNTs), graphene nanoplatelets, and smart constituents. Some examples of smart applications involve large stroke smart actuators, piezoelectric sensors, shape memory alloys, magnetostrictive and electrostrictive materials, as well as auxetic components and angle-tow laminates. These constituents can be included in the lamination schemes of smart structures to control and monitor the vibrational behavior or the static deflection of several composites. The development of advanced theoretical and computational models for composite materials and structures is a subject of active research and this is explored here for different complex systems, including their static, dynamic, and buckling responses; fracture mechanics at different scales; the adhesion, cohesion, and delamination of materials and interfaces.

dynamic stability --- elastomeric foundation --- Eringen’s differential constitutive model --- graphene sheet --- temperature-dependent properties --- basement bottom reinforcement --- reinforcement depth --- Young’s modulus of reinforced soil --- tunnel heave --- numerical analysis --- epistemic uncertainty --- evidence theory --- robust optimization --- sensor design --- near-field earthquake --- fling-step --- far-field --- simultaneous excitation --- special moment frame (SMF) --- advanced model --- precise prediction --- circular foundation pit --- tunnel deformation --- composite --- stochastic --- natural frequency --- uncertainty --- metro constructions --- shield tunnel --- ground settlement --- soil displacement --- analytical --- Mindlin solution --- EELS --- plasmons vibrational modes --- nanoparticles --- nonlocal and size-dependent dielectric --- nanoparticle suspension --- Brownian motion --- spectral thermal pulsing --- DEM simulations --- Nano-device applications --- stratum movements --- mirror source–sink method --- centrifuge modelling test --- transport --- palletized goods --- damage --- bottle --- buckling --- Polyethylene terephthalate (PET) --- n/a --- Eringen's differential constitutive model --- Young's modulus of reinforced soil --- mirror source-sink method

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Miotte, Jean --- Miller, Roland --- Michaux, Henri --- Mitchell, Denis --- Michener, Sally --- Milles, Carl --- Miyajima, Tatsuo --- Michaëlechner --- Michaux --- Milcovitch --- Millecamps --- Mitki --- Minnaert, Frans --- Ju Ming --- Michel, Cathy --- Micheli, Alice --- Michels, Gast --- Michiels, Gust --- Michl, Fritz --- Mifsud, Luis-Philippe --- Miggiano, Joseph --- Mihalcean, Gilles --- Mihály, Gubis --- Mijnhout, Yvonne --- Milan, Ellen --- Milani, Umberto --- Millagou, Olivier --- Millard, Larry --- Miller, Bernie --- Miller, Garry Fabian --- Miller, Luiza --- Miller, Scott George --- Millette, Claude --- Millhagen, Lars --- Milloff, Mark --- Millonadis, Konstantin --- Milne, John --- Milner, Judy --- Milow, Keith --- Milton, Ted --- Minamoto, Toshihiko --- Minard, Robin --- Minder, Hansruedi --- Mindlin, Raskolnikoff --- Mine, Takashi --- Minnaert, Pierre --- Minnen, Raymond --- Minnich, Bernd --- Minter, Marilyn --- Mira, Victor --- Mironov, Aleksey --- Misrach, Richard --- Miss, Mary --- Mistry, Dhruva --- Miszewska, Anna --- Mitchell, Maceo --- Mitchy, D.B. --- Mitout, Marie-Claire --- Miura, Mitsuo --- Miyamoto, Ryuji --- Miró, Joan --- Minne, Joris --- Minne, George --- Mich, Ludo --- Milroy, Lisa --- Mistiaen, Carlo --- Michals, Duane --- Middendorf, Helmut --- Mik, Aernout --- Miller, John --- Milo, Jean --- Minoli, Paolo --- Mitchell, Joan --- Michiels, Robert --- Minguzzi, Luciano --- Miralda, Antoni --- Michels, Alex --- Mitoraj, Igor --- Michel, Jacques --- Minnebo, Hubert --- Mizui, Yasuo --- Mirko --- Mijling, Riki --- Michielsen, Joris --- Minas, Barbara --- Mir, Jorge Gonzalez --- Mittendorf, George --- Miura, Makoto --- Mitric, Nebojsa --- Mitrović, Ivan