MULTIPLE SCATTERING THEORY OF EFFECTIVE MECHANICAL PROPERTIES OF INHOMOGENEOUS MEDIA

The rate of hydrothermal reaction of SiO_2 and/or A1_2O_3 in the system of CaO-Al_2O_3-SiO_2-H_2O at 200℃ and the factors which influence the reactions are investigated by determining the reaction ratio.The rate of reactions depends on the reactive activities of raw materials, initial composition of mixture and relative activity of SiO_2 and A12O3. The hydrothermal reaction can be accelerated by sodium hydroxide,in the case of silica,which has low activity, this is quite obvious.

GURTIN-TYPE VARIATIONAL PRINCIPLES FOR DYNAMICS OF A NON-LOCAL THERMAL EQUILIBRIUM SATURATED POROUS MEDIUM

Based on the porous media theory and by taking into account the efects of the pore fuid viscidity, energy exchanges due to the additional thermal conduction and convection between solid and fuid phases, a mathematical model for the dynamic-thermo-hydro-mechanical coupling of a non-local thermal equilibrium fuid-saturated porous medium, in which the two constituents are assumed to be incompressible and immiscible, is established under the assumption of small de- formation of the solid phase, small velocity of the fuid phase and small temperature changes of the two constituents. The mathematical model of a local thermal equilibrium fuid-saturated porous medium can be obtained directly from the above one. Several Gurtin-type variational principles, especially Hu-Washizu type variational principles, for the initial boundary value problems of dy- namic and quasi-static responses are presented. It should be pointed out that these variational principles can be degenerated easily into the case of isothermal incompressible fuid-saturated elastic porous media, which have been discussed previously.

A Theoretical Model for the Microwave Emissivity of Rough Sea Surfaces

When sea surface wavelengths are not larger than microwave wavelengths,the microwave emissivity of Gaussian rough sea surfaces can be investigated by applying effective media theory(EMT)of rough surfaces.For one-dimensional Gaussian sea surface,the microwave emissivity model is proposed by EMT,which regards the air-sea rough interface as a new effective medium of isotropic permittivity between the top layer of air and the bottom layer of seawater.The emissivity model is controlled by the root mean square deviation(RMSD)of the rough surface height and the correlation length of the rough surface.Results clearly show that the emissivity increases along with the RMSD increase if the latter is smaller than a critical value.Furthermore,excess emissivities and the brightness temperature increments for a wind-roughened sea surface can be estimated from those of flat surfaces by fitting the RMSD as a function of wind speed.Good agreements are obtained by comparing the results of our model with the satellite data at microwave frequencies of 1.4,6.8,18,21,and 37 GHz,respectively.Moreover,these findings imply that our method can be extended to retrieve the sea surface parameters,such as RMSD and the correlation length of the rough surface,from the satellite data.

Surface relief resonant Brewster filters with multiple channels

In this paper, a new type of resonant Brewster filters （RBF） with surface relief structure for the multiple channels is first presented by using the rigorous coupled-wave analysis and the S-matrix method. By tuning the depth of homogeneous layer which is under the surface relief structure, the multiple channels phenomenon is obtained. Long range, extremely low sidebands and multiple channels are found when the RBF with surface relief structure is illuminated with Transverse Magnetic incident polarization light near the Brewster angle calculated with the effective media theory of sub wavelength grating. Moreover, the wavelengths of RBF with surface relief structure can be easily shifted by changing the depth of homogeneous layer while its optical properties such as low sideband reflection and narrow band are not spoiled when the depth is changed. Furthermore, the variation of the grating thickness does not effectively change the resonant wavelength of RBF, but have a remarkable effect on its line width, which is very useful for designing such filters with different line widths at desired wavelength.

Design of two-dimensional elliptically cylindrical invisible cloaks with multiple regions

Two-dimensional （2D） elliptically cylindrical invisible cloaks with multiple regions are designed based on the trans-formation optics and the complementary media theory. Multiple invisible cloak regions can be obtained by properly using the compressed or folded transformation in each space layer. The constitutive parameter tensor expressions for each re- gion have been obtained. The results of full wave simulations by using finite element software confirm the validity of the constitutive parameter tensor expressions. In addition, the parameters are relatively easier to realize.

Nonlinear deformation of a cantilever incompressible poroelastic beam under a uniform load

Nonlinear bending of cantilever incompressible poroelastic beams subjected to a uniform load is investigated with the constraint that fluid flow is only in the axial direction. The governing equations for large deflection of the poroelastic beam are derived from theory of incompressible saturated porous media. Then, nonlinear responses of a cantilever beam with impermeable fixed end and permeable free end are examined with the Galerkin truncation method. The deflections and bending moments of the poroelastic beam and the equivalent couples of the pore fluid pressures are shown in figures. The differences of the results between the large deflection and the small deflection theories are analyzed. It is shown that the results of the large deflection theory are smaller than those of the small deflection theory, and the time needed to approach their stationary states for the large deflection theory is shorter than that for the small deflection theory.

A nonlinear mathematical model for large deflection of incompressible saturated poroelastic beams

Nonlinear governing equations are established for large deflection of incompressible fluid saturated poroelastic beams under constraint that diffusion of the pore fluid is only in the axial direction of the deformed beams. Then, the nonlinear bending of a saturated poroelastic cantilever beam with fixed end impermeable and flee end permeable, subjected to a suddenly applied constant concentrated transverse load at its free end, is examined with the Gaierkin truncation method. The curves of deflections and bending moments of the beam skeleton and the equivalent couples of the pore fluid pressure are shown in figures. The results of the large deflection and the small deflection theories of the cantilever poroelastic beam are compared, and the differences between them are revealed. It is shown that the results of the large deflection theory are less than those of the corresponding small deflection theory, and the times needed to approach its stationary states for the large deflection theory are much less than those of the small deflection theory.

Quasi-static and dynamical bending of a cantilever poroelastic beam

Based on the theory of porous media, the quasi-static and dynamical bending of a cantilever poroelastic beam subjected to a step load at its free end is investigated, and the influences of its permeability on bending deformation is examined. The initial boundary value problems for dynamical and quasi-static responses are solved with the Laplace transform technique, and the deflections, the bending moments of the solid skeleton and the equivalent couples of the pore fluid pressure are shown in figures. It is shown that the dynamical and quasi-static behavior of the saturated poroelastic beam depends closely on the permeability conditions at the beam ends. Under the different permeability conditions, the deflections of the beam may oscillate or not. The Mandel-Cryer effect also exists in liquid-saturated poroelastic beams.

Bending of simply supported incompressible saturated poroelastic beams with axial diffusion

Based on the mathematical model of the bending of the incompressible saturated poroelastic beam with axial diffusion, the qUasi-static bendings of the simply supported poroelastic beam subjected to a suddenly applied constant load were investigated, and the analytical solutions were obtained for different diffusion conditions of the pore fluid at the beam ends. The deflections, the bending moments of the solid skeleton and the equivalent couples of the pore pressures were presented in figures. It is also shown that the behavior of the saturated poroelastic beams depends closely on the diffusion conditions at the beam ends, especially for the equivalent couples of the pore pressures. It is found that the Mandel-Cryer effect also exists in the bending of the saturated poroelastic beams under specific diffusion conditions at the beam ends.

A Study on the Difficulties in the Diffusion of A Foolish Old Man Tries to Remove Two Mountains from the Perspective of the Media Ecology Theory : Saying from Xi Murong Calling for the Removal of "A Foolish Old Man Tries to Remove Two Mountains" from Chinese Textbooks of Secondary School

When Taiwan s famous poet and painter Xi Murong answered a Nankai University student s question that"is value more important or technology more important in the process of saving ecology",she said,"if our heart is greedy,the fate of civilization is terrible".Xi Murong called for the removal of"A Foolish Old Man Tries to Remove Two Mountains"from Chinese textbooks of the secondary school.The"red"interpretation of A Foolish Old Man Tries to Remove Two Mountains by Mao Zedong should be regarded as a special"metaphor"in special era and circumstances.Of course,it has its own special value.In a sense,it is a"masterpiece"of"A Foolish Old Man Tries to Remove Two Mountains".However,after the founding of the PRC,especially after the reform and opening up,the story of"A Foolish Old Man Tries to Remove Two Mountains"still has been retained in Chinese textbooks of secondary school as a revolutionary"Bible",and it is necessary to re-rational view.The opinions of experts and scholars are integrated,and the ecological concept of media should be people-oriented,green,low-carbon,comprehensive and harmonious sustainable communication.Based on the theory of media ecology,A Foolish Old Man Tries to Remove Two Mountains is considered.It is thought that the current communication of A Foolish Old Man Tries to Remove Two Mountains has encountered unprecedented ecological dilemma:first,the plight of political ecology;second,the plight of scientific ecology;third,the dilemma of educational ecology.Xi Jinping,general secretary said well,"we need invaluable assets,as well as clean water and green mountains",to keep beautiful homesickness for ourselves and green mountains and clean water for the future generations.This is the true meaning of deeply reflecting on the story of"A Foolish Old Man Tries to Remove Two Mountains".