In this work we propose a discretisation method for the Reissner–Mindlin plate bending problem in primitive variables that supports general polygonal meshes and arbitrary order. The is inspired by two-dimensional discrete de Rham complex which key commutation properties hold enable cancellation of contribution to error linked enforcement Kirchhoff constraint. Denoting k≥0 polynomial degree spac...

We propose a generalized local B̄ framework, addressing locking in degenerated Reissner-Mindlin plate and shell formulations in the context of isogeometric analysis. Parasitic strain components are projected onto the physical space locally, i.e. at the element level, using a least-squares approach. The formulation is general and allows the flexible utilization of basis functions of different ord...

Mathematical models for multilayer sandwich plates consisting of alternating stiff and compliant layers are derived. Two main types of models are described. First an initial model (analogous to the three-layer Rao-Nakra model) is derived under Kirchhoff plate assumptions for the stiff layers and Mindlin shear-deformable displacement assumptions for the compliant layers. The second type of model...

Artificial foam structures are used in all kinds of applications, for example, filters, where non‐metallic inclusions filtered out the molten metal. The flow‐through fluid leads to a mechanical loading, which is influenced by flow velocity, viscosity fluid, morphology, and shape filter. Analytical numerical approaches being study influence different parameters on response impact local stresses ...

This paper discusses static and dynamic response of nanoplate resting on an orthotropic visco-Pasternak foundation based on Eringen’s nonlocal theory. Graphene sheet modeled as nanoplate which is assumed to be orthotropic and viscoelastic. By considering the Mindlin plate theory and viscoelastic Kelvin-Voigt model, equations of motion are derived using Hamilton’s principle which are then solved...