Based on surface elasticity, the influence of surface stress on contact problems at nanoscale is considered. The complex variable function method is adopted to derive the fundamental solutions of the contact problem. ...
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ISBN:
(纸本)9781605950549
Based on surface elasticity, the influence of surface stress on contact problems at nanoscale is considered. The complex variable function method is adopted to derive the fundamental solutions of the contact problem. As examples, the deformations induced by a uniformly distributed traction are analyzed respectively. The results reveal some interesting characteristics in contact mechanics, which are distinctly different from those in classical elasticity. At nanoscale, the displacement gradient on the deformed surface transits continuously across the uniform distributed loading boundary as a result of surface effects. In addition, for nano-indentation, the indent depth depends strongly on the surface stress.
The focus of this contribution is to develop a complex variable function method to solve the two-dimensional scattering of plane waves by a lined cylindrical cavity in the poroelastic half-plane. The poroelastic half-...
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The focus of this contribution is to develop a complex variable function method to solve the two-dimensional scattering of plane waves by a lined cylindrical cavity in the poroelastic half-plane. The poroelastic half-plane is based on Biot's dynamic theory, and the governing equations are solved by reduction to three Helmholtz equations. The lining structure can be treated as an elastic material and decoupled into two Helmholtz equations. Here, the large circle assumption is applied to simulate the half-plane boundary. By using appropriate boundary conditions and continuity conditions, the unknown coefficients in the potentials can be determined. Selected numerical results are presented in this paper. (C) 2009 Elsevier Ltd. All rights reserved.
complex variable function and moving coordinates were introduced to investigate the dynamic stress concentration of a subsurface elastic cylindrical inclusion below multiple semi-cylindrical hills under SH-wave. The w...
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ISBN:
(纸本)9781424428915
complex variable function and moving coordinates were introduced to investigate the dynamic stress concentration of a subsurface elastic cylindrical inclusion below multiple semi-cylindrical hills under SH-wave. The whole model was divided into two parts. Part I was composed of multiple circular domains which include the boundaries Of Multiple hills, and all the rest can be considered as part II. Therefore the lower half boundaries of multiple circular domains were "common boundaries" of two parts. The next process was constructing the suitable displacement solutions in two parts respectively. Considering the boundary conditions of common boundaries and the elastic inclusion, a series infinite algebraic equation for dynamic stress concentration factors (DSCF) can be obtained. Finally, the calculating results are provided to show the influence of different parameters on DSCF.
complex variable function and moving coordinates were introduced to investigate the dynamic stress concentration of a subsurface elastic cylindrical inclusion below multiple semi-cylindrical hills under *** whole mode...
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complex variable function and moving coordinates were introduced to investigate the dynamic stress concentration of a subsurface elastic cylindrical inclusion below multiple semi-cylindrical hills under *** whole model was divided into two ***Ⅰwas composed of multiple circular domains which include the boundaries of multiple hills, and all the rest can be considered as partⅡ.Therefore the lower half boundaries of multiple circular domains were"common boundaries"of two *** next process was constructing the suitable displacement solutions in two parts *** the boundary conditions of common boundaries and the elastic inclusion,a series infinite algebraic equation for dynamic stress concentration factors(DSCF) can be ***,the calculating results are provided to show the influence of different parameters on DSCF.
Gravity potential flows with free surface still present considerable difficulties in non-linear mathematical *** researchers using analytic function theory could consideronly simple geometrical *** curvilinear solid b...
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Gravity potential flows with free surface still present considerable difficulties in non-linear mathematical *** researchers using analytic function theory could consideronly simple geometrical *** curvilinear solid boundaries by means of analytictheory is a difficult problem that has not been *** this paper,using Muskhelishvili’s singularintegral equation theory,we turn the gravity flow problem into the Riemann-Hilbert *** the length of the streamline of the boundary as the independent variable and the velocitypotential of the boundary as the function to be determined,we avoid the difficulty that the angle ofthe curved fixed part is *** the difference method and the finite element method,we develop a new numerical method that is suitable for complex solid boundaries and overcome thedifficulties encountered in applying analytic function *** known discharge,the conver-g(?)nee and stability of the method have been proved and an estimation of error has been *** method has been successfully applied to the calculation of the flow past spillway *** values agree well with the measured results.
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