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One of the reasons for the success of the finite element method in Solid Mechanics, among other Applied Sciences, is its versatility to deal with bodies of arbitrary shape. In case the problem at hand is modeled by second‐order partial differential equations with Dirichlet conditions prescribed on a curvilinear boundary, method's isoparametric version for meshes consisting of curved triangles or tetrahedra...
This paper is concerned with the regularity of semi‐hyperbolic patches near sonic curves for the two‐dimensional (2D) compressible magnetohydrodynamic (MHD) equations. A semi‐hyperbolic patch is a flow in a region in which one family out of two families of wave characteristics start on sonic curve and end on transonic shock. This type of flow patterns appear frequently in solutions of 2D Riemann problems...
The present study is concerned with the reflection and propagation of thermoelastic plane waves from the stress‐free and thermally insulated surface of a homogeneous, isotropic thermally conducting elastic half‐space in the frame of modified Green–Lindsay theory of generalized thermoelasticity with two‐temperature (2TMGL). The thermoelastic coupling effect creates two types of coupled longitudinal...
Fluid‐structure interaction models involve parameters that describe the solid and the fluid behavior. In simulations, there often is a need to vary these parameters to examine the behavior of a fluid‐structure interaction model for different solids and different fluids. For instance, a shipping company wants to know how the material, a ship's hull is made of, interacts with fluids at different Reynolds...
The present study investigates essential steps in build‐up of models for description of the spread of infectious diseases. Combining these modules, a SEI3RSD model will be developed, which can take into account a possible passive immunisation by vaccination as well as different durations of latent and incubation periods. Besides, infectious persons with and without symptoms can be distinguished. Due...
An analytical study on buckling of carbon nanotube reinforced composite (CNTRC) circular cylindrical shells and toroidal shell segments surrounded by elastic media, exposed to thermal environments and subjected to axial compression and combined mechanical loads is presented in this paper. Carbon nanotubes (CNTs) are reinforced into isotropic matrix through uniform and functionally graded distributions...
A theoretical basis for evaluating the deformability of rock blocks is presented in this study and is used to derive an equation that governs the relationship between the normal force applied and the displacement produced. This relationship depends on the distribution of forces in the contact; therefore, it depends on the load process acting at the asperities of the rock block. Most previous studies...
Due to the limit of preparation technology, defects, such as cracks and inclusions, are inevitable in the functionally graded quasi‐crystal material. For the purpose of the guided wave non‐destructive testing on the functionally graded (FG) two‐dimensional(2‐D) hexagonal quasi‐crystal(QC) plates, Lamb and SH wave characteristics in the context of the Bak's model are investigated by means of the Legendre...
Free vibrations of microplates with non‐classical shape are considered in the paper. Governing equations are based on the modified couple stress theory and Kirchhoff–Love plate theory. It is assumed that the plate is isotropic or orthotropic and satisfy various boundary conditions. An analysis is performed by the variational‐structural method which is based on R‐functions theory and Ritz method. The...
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