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The problems of elasticity for composite materials with holes and inclusions have a great practical significance for mechanics, physics and other areas of science. In this work the analytic solution of a plane problem (plane strain and plane stress) for bi-material plate with an elliptic hole is obtained. A hole is located entirely in a lower half-plane. The constant stresses are given at infinity...
Meshfree Methods (MMs) have become popular as an alternative numerical simulation technique to handle problems of diverse engineering fields where conventional grid based methods are not suitable. Element Free Galerkin (EFG) method is a popular meshfree approach based on global weak form of governing differential equation and employs Moving Least Square (MLS) approximants to construct shape functions...
Diaphragm Chamber is a critical component in fluid end of large scale diaphragm pump. Static strength failure and fatigue failure of diaphragm chamber are caused by high pressure of slurry flowing which is transported by diaphragm pump. It is necessary to analyze the inferences of different boundary shapes of diaphragm chamber on its static strength. In this paper, diaphragm chamber was simulated...
The Mindlin plate equations with the consideration of thickness-shear deformation as an independent variable have been used for the analysis of vibrations of quartz crystal resonators of both rectangular and circular types. The Mindlin or Lee plate theories that treat thickness-shear deformation as an independent higher-order vibration mode in a coupled system of two-dimensional variables are the...
In this paper, the inner boundary conditions of a simply supported rectangular Mindlin plate with a finite-length Part-through crack is first obtained. The part-through crack on the plate surface having an arbitrary length and depth is assumed to be open, non-propagating and parallel to one side of the plate. Based on Mindlin plate theory and Hamilton theory, we got the governing equations of motion...
In this paper, the free vibrations of incomplete toroidal shells with different meridional boundary conditions are studied based on the linear Flugge thin shell theory. The cross-section of toroidal shells is assumed to be a closed circle. The circumferential modes are represented by a series of trigonometric functions and the meridional modes are expressed as a combination of beam functions which...
Needle insertion treatments require accurate placement of the needle tip into the target cancer. However, it is difficult to insert the needle into the cancer because of cancer displacement due to the organ deformation. Then, a path planning using numerical simulation to analyze the deformation of the organ and the timing of puncture is important for the accurate needle insertion. In this study, we...
Meshfreee Method is a new numerical analysis method. It has excellent accuracy and rapid convergence. Radial point interpolation method (RPIM) is a new meshfree method among them. It has not only all the advantages of meshfree method but also the Kronecker delta function property. Its shape function is constructed by the combination of radial and polynomial basis the combination of radial and polynomial...
This paper considers mechanical stress and strain in a piezoresistive cantilever sensor under surface stress loading, which is the loading condition that occurs in biochemical sensing applications. Finite element simulations examine the piezoresistor sensitivity due to changes in cantilever length, width, and thickness, and piezoresistor size, location, and depth. A few unexpected results are found...
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