The main research contents are as follows:Firstly, that thesis set up the math model of thermal field and did numerical simulation by finite element analysis in terms of the special physical model and heat transferring characteristic of this coating. Then stress analytical solutions of every checking point was caculated according to the plate theory in the same thermal field, and compared with finite element solutions, the same trend was achieved.

The whole cracked plate governed by Reissner plate theory can be divided into three differentregions by their stress characteristics,that is,the interior region(region Ⅰ),the Reis-sner boundary layer(region Ⅱ),and the singular region around the crack tip(regionⅢ).

The conception of modified simply supported edge has been studied with complements and extension with the application of E. Reissner's plate theory by which the effect of transverse shear deformation on bending plates has been taken into account in particular.

In accordance with E. Reissner's plate theory, in this paper, common forms of the partial differential equations as well as their analytical solutions to bend-ing and stability problems for rectangular plate of moderate thickness are con-sidered.

The obtained exact solution could serve as a benchmark result to assess other approximate methodologies or as a basis for establishing simplified functionally gradient piezothermoelectric material plate theories.

From main reasons causing the error of glass distortion in Newton's rings experiment, a rectified formula of data processing is given with the use of Plate theories and the method of polynomial combination. A comparison with the traditional method of progressive difference is also conducted.

As regards to the spheric thin shell structure under external hydro static pressure,basing on flat-plate theory and by using basic Von Karman equations for large deflection,the equilibrium problem of axisymmetric bending of the spheric shell under uniform external pressure is simplified to an equilibrium problem of bending of elastic basic flat-plate and further converted into an equilibrium problem of beam on elastic fundation taking into consideration of the deformation characteristics.

By means of these principles, a 200mm×200mm metal plat is used for comparting its theoretical and measured data. Very good results are obtained that verify the correctness of the principles.

A fourth-order variational inequality of the second kind, deduced from plate bending problems with friction term, is considered and the finite element approximation for this problem is discussed.

For a thin plate, the method was clarified by comparison with the thin plate theory.

(2004), and the solutions for both types were compared with the FEM results and the calculations of thin plate theory.

The validity of the use of the plate theory in transport processes with non-Gaussian peak shapes is discussed.

It is shown that the application of the plate theory implies the assumption of a peak with a gamma density shape which, however, converges rapidly to symmetrical Gaussian shape for large plate numbers.

A proposal for an extension of the plate theory, based on a gamma density function is given.

The solution of the boundary value problems of the theory of elasticity is sought in the form of expansions into series of the associated Legendre polynomials.

It is shown that when there are no gas phases and the liquid is incompressible the system of equations reduces to the general equations of the theory of elasticity of an anisotropic body with fictitious stress components.

Averaged systems of equations of the theory of elasticity in a medium with weakly compressible inclusions

The latter provides an explanation for the generation of the second shear harmonic that is observed in real solids contrary to the predictions of the nonlinear theory of elasticity, which prohibits such phenomena.

Possible descriptions of phasons in incommensurate crystal phases and quasicrystals have been reviewed in terms of the theory of elasticity and superspace symmetry.

The solutions of the above problems have important application in the properly formulated boundary conditions of plate theories for prescribed displacement edge data.

Analytical relations between eigenvalues of circular plate based on various plate theories

A series of numerical examples shows the influence of orthotropy parameters (treated as the level of anisotropy), stacking sequences, FE models and the employed 2-D plate theories of structures on the resulting optimal shapes.

A justification of nonlinear properly invariant plate theories

A single asymptotic derivation of three classical nonlinear plate theories is presented in a setting which preserves the frame-invariance properties of three-dimensional finite elasticity.

In this paper is presented a simplified two-variable approximate theory, based on the C. Libovc and S. B. Batdorf's theory[6] for elastic orthotropic plates with transverse shear deformations. Assuming that there exists a potential function (x, y) for the traps-verse shear angles rx and ry (see eq. (2.9)), the total potential energy If (eq. (2.8)) can be expressed in terms of two independent unknown functions, the plate deflection w(x, y) and the potential (x, y). By the use of the principle of minimum potential...

In this paper is presented a simplified two-variable approximate theory, based on the C. Libovc and S. B. Batdorf's theory[6] for elastic orthotropic plates with transverse shear deformations. Assuming that there exists a potential function (x, y) for the traps-verse shear angles rx and ry (see eq. (2.9)), the total potential energy If (eq. (2.8)) can be expressed in terms of two independent unknown functions, the plate deflection w(x, y) and the potential (x, y). By the use of the principle of minimum potential energy the Eulcr dcffercntial equations (1.11) for w and and the boundary conditions (1.12)-(1.15) are obtained in Appendix I. The comparision between the results for critical compressive load for a particular case of square simply-supported plate based on the present theory and Robinson's results[8] based on [6] shows that the discrepancy is small, if the anisotropy is not too significant (Table I). It is shown in Appendix H. that for polygonal simply-supported isotropic plates for both the bending and the stability problems the present theory always gives the same results as the theory in [6]. Two kinds of free edges arc distinguished: "entirely free edges" with the boundary conditions as (3.14) and the "stiffened free edges" with the boundary conditions as (3.17). Analysis of examples for orthotropic plates with free edges shows that, in general, cannot be interpreted as the shear deflection.

In this paper the whole state of stress in the elastic orthotropic sandwich plates is analyzed. It is composed of the following elementary states of stress: the state of stress corresponding to the classical theory of plates, corrective state of stress, and Reissner's boundary effects. Six kinds of boundary conditions, including a kind of stiffened free edges, are considered. Under the action of transverse loads, the asymptotic solutions based on the three-variable theory for sandwich plates with various boundary...

In this paper the whole state of stress in the elastic orthotropic sandwich plates is analyzed. It is composed of the following elementary states of stress: the state of stress corresponding to the classical theory of plates, corrective state of stress, and Reissner's boundary effects. Six kinds of boundary conditions, including a kind of stiffened free edges, are considered. Under the action of transverse loads, the asymptotic solutions based on the three-variable theory for sandwich plates with various boundary conditions are obtained. It is shown that the relative intensities of the three parts of elementary states of stress are different under various boundary conditions. The three-variable theory and the two-variable approximate theory for orthotropic and isotropic sandwich plates are compared in the light of the results of asymptotic solutions.

The direct boundary integral equation-boundary element method in elasticity isdeveloped by inner product forms of weighted residual processes.The formulations arefirst established for potential problems,elastostatic problems and Kirchhoff's plate problemswith the restriction of Liapunov boundary regular surfaces.The variational functionals arealso given and the corner conditions are discussed.By proper treatment of the specific fundamental solutions and numerical discretiza-tions a series of concrete problems...

The direct boundary integral equation-boundary element method in elasticity isdeveloped by inner product forms of weighted residual processes.The formulations arefirst established for potential problems,elastostatic problems and Kirchhoff's plate problemswith the restriction of Liapunov boundary regular surfaces.The variational functionals arealso given and the corner conditions are discussed.By proper treatment of the specific fundamental solutions and numerical discretiza-tions a series of concrete problems are solved.The results of investigation include:torsionalproblem of shafts with variable diameter,axial loading of axial symmetric bodies,bendingof axial symmetric bodies and the plate bending problems.The investigation also showedthat such a kind of numerical results is necessary for improving and increasing the accu-racy of the useful engineering data of stress concentration and plate problems(includingthe cases of free boundaries and corner points).