Firstly we construct a suitable Green's function, which is an essential solution to the displacement field for the elastic space possessing circular cavity or moving rigid cylinder while bearing out-of-plane harmonic line source load at arbitrary point.

A special Green's function,which is an essential solution of displacement field for an elastic half space with a half cylindrical inclusion while bearing out_plane harmonic line source load at horizontal surface,was developed for the present problem.

Presents the develop ment of a suitable Green's Function,which can be used as a funda-mental solution of displacement field for an elastic half space with a half removable rigid cylindrical inclusion under an out-plane harmonic line source load subjected at any point on its horizontal sur-face,and details the solution of the above scattering problem derived from the special Green's Func-tion develped.

A Green's function is derived by using the integral transform method. Analytical solutions of steady-state displacements are developed by using Duhamel's integral for constant or harmonic point,line and area loads.

First,we should construct a suitable Green's function,which is an essential solution of displacement field for an elastic half space with canyon with arbitrary shape impacted by anti-plane harmonic line source loading at horizontal surface.

The displacement function, Green's function, is constructed based on the complex function, which is the solution of displacement field for elastic half space with canyon of arbitrary shape impacted by anti_plane harmonic line source loading at horizontal surface.

With the help of historical data formulated parameters, the non-point source load and the theory of pollution load distribution were illustrated about the Heihe River basin.

The resulting differential loading, adjusted for non-point sources, is the total point source load to the river minus any losses due to volatilization, settling or degradation.

those receiving point-source load) in the national monitoring network (the Finnish Eurowaternet).

This multi-pond system can effectively reduce the non-point source load of nutrients, such as phosphorus and nitrogen from runoff water, and filter out sediments before they reach the lake.

However, due to cost and logistical considerations, only a portion of the total nonpoint source load can be effectively monitored.

The present paper investigates the problem of SH-wave scattering and dynamic stress concentration by bi-material structure possessing cylindrical interface hole Green’s Function method is used here, which means a special essential solution suitable to the present problem must be constructed In terms of wave functions expansion method and Graf formula, we give the construction course for the special Green's function, and deduce it strictly from the essential solution for a perfect half space impacted by line...

The present paper investigates the problem of SH-wave scattering and dynamic stress concentration by bi-material structure possessing cylindrical interface hole Green’s Function method is used here, which means a special essential solution suitable to the present problem must be constructed In terms of wave functions expansion method and Graf formula, we give the construction course for the special Green's function, and deduce it strictly from the essential solution for a perfect half space impacted by line source loading The special Green's function is an essential solution of displacement field for an elastic half space with a half cylindrical gap impacted by out-plane line source loading harmonically at horizontal surface Once the special Green's function is gotten,various scatering problems of SH-waves by a kind of interface blemish or complex flaw can be solved Here we only deal with the case of interface circular hole The model of the problem is composed of two half spaces with half cylindrical gaps Horizontal surfaces of the two half spaces are loaded with undetermined anti-plane forces in order to satisfy continuity conditions at interface section, and the added force at interface point of the circle is directly related to its dynamic stress concentration factor By combining two half spaces with unknown loading at surfaces into one infinite elastic body, the interface circular hole can be formed Therefore, a set of Fredholm integral equations of first kind to determine the unknown loading are established by use of the Green's function The integral equations can be transformed into algebraic equations and solved numerically Finally, examples of dynamic stress concentration are calculated, and the relations of dynamic stress concentration factors versus different parameters are illustrated The study indicates that wave number, incident wave angle and combination of different media parameters all play important roles for the problem of SH-wave scattering by interface circular hole Their influence often causes over-high stress appear at interface circle, and the circular hole may crack along interface section We can go on investigating scattering problem of SH-wave by cracks originating at hole edge in use of Green's function method shown above

Besed on the principle of linear superposition, this paper proves generalized Duhamel′s integral which reverses moving dynamical load problem to fixed dynamical load problem. Laplace transform and Fourier tansform are used to solve patial differential equation of infinite beam. The generalized Duhamel′s integral and deflection impluse response function of the beam make it easy for us to obtain final solution of moving line load problem. Deep analyses indicate that the extreme value of dynamic response always...

Besed on the principle of linear superposition, this paper proves generalized Duhamel′s integral which reverses moving dynamical load problem to fixed dynamical load problem. Laplace transform and Fourier tansform are used to solve patial differential equation of infinite beam. The generalized Duhamel′s integral and deflection impluse response function of the beam make it easy for us to obtain final solution of moving line load problem. Deep analyses indicate that the extreme value of dynamic response always lies in the center of the line load and travels with moving load at the same speed. Additionally, the authors also present definition of moving dynamic coefficient which reflects moving effect.

Green’s function method is introduced to investigate the problem of SH wave scattering and dynamic stress concentration in bi material structure possessing cylindrical interface elastic inclusion.Displacement function for an elastic half space with half cylindrical elastic inclusion bearing steady state line source force on horizontal surface is first given.Regarding the bi material structure as two half spaces bounded by horizontal surfaces and looking...

Green’s function method is introduced to investigate the problem of SH wave scattering and dynamic stress concentration in bi material structure possessing cylindrical interface elastic inclusion.Displacement function for an elastic half space with half cylindrical elastic inclusion bearing steady state line source force on horizontal surface is first given.Regarding the bi material structure as two half spaces bounded by horizontal surfaces and looking upon the above displacement function as Green’s function,the integral equations can be obtained by use of continuity conditions at the interface.Finally,numerical examples of dynamic stress concentration are given,and the relations of dynamic stress concentration factors versus different media combinations are illustrated.