The underlying idea of the CIP method provides a general concept that one can make use of more than one model variables, so called "moments", for a contain physical field in constructing numerical approximations. Different from those used in the conventional discretizations, such as the finite difference method or the finite volume method, a multi moment interpolation gives some new numerical properties in the accuracy of numerical approximations. Furthermore, treating multi moments as the model variables substantially improves numerical dispersions for wave equations. Some related topics are presented in this talk.

View full abstract

The statistics of the temperature and thermal stress are derived by perturbation method for functionally graded material plates (FGM plates) with uncertainties in the thermal conductivity and coefficient of linear thermal expansion and with arbitrary nonhomogeneous thermal and mechanical properties through the thickness of plate. The stochastic temperature and thermal stress fields are analyzed by approximating the FGM plates as multilayered plates with random thermal conductivity and coefficient of linear thermal expansion in each layer. Autocorrelation coefficients of the random properties and crosscorrelation coefficients between the random properties are expressed in exponential function forms as homogeneous Markov random field of discrete coordinate.

View full abstract

This paper deals with the stress concentration problems of an infinite elastic plate with a rigid circular inclusion under in-plane pure shear loadings. It is assumed that there are partially debonded boundaries at the interface between the inclusion and the matrix. A method of solution is presented for the problem by using the Kelvin's solution. Stress distributions at the interface are shown and compared with exact solutions for the problem of perfect bonding.

View full abstract

The problem of the interaction between an edge dislocation and a spherical void was solved by G.Z.Ganeyev-T.E.Turkebaev in 1988. And in 1990 M.W.Charles studied the edge dislocation spherical inclusion interaction by using Love's solution. However, those solutions are not easy to apply to more complex problems. In 2000, the authors presented the solution of the edge dislocation spherical inclusion interaction. However result was not satisfactory. In this paper, the interaction between an edge dislocation and a spherical cavity is solved analytically in terms of isotropic elasticity theory. The problem is formulated in terms of Papkovich-Neuber displacement potentials. The effects of the cavity size on stresses near the cavity and dislocation force are shown.

View full abstract

A loop current model designs exciting coils to generate the desired magnetic field distribution by means of an inverse approach. A set of current dipoles represents a closed-loop current element, always satisfying the current continuity. The coil region is filled with the closed-loop current elements to derive a system of equations. Solving this ill-posed linear system of equations gives unknown current distribution from the data of desired magnetic field distribution. The current distribution shows the coil design. The GVSPM performs the accurate solutions though accompanied with the row-wise rectangular system matrix.

View full abstract

The image equations are applied to the nondestructive evaluation. Linearity and non-linearity are identified from a visualized animation,representing a physical dynamic system by means of the image Helmholtz equation which is capable of extracting the characteristic values equivalently representing the modes of physical dynamic system. In the present paper, a set of sequentially distinct magnetized SEM domain images is analyzed to extract the behavior of magnetic domain dynamics. As a result, the linearity is extracted in the Rayleigh magnetization region. The non-linearity is extracted during irreversible as well as rotating magnetization regions.

View full abstract

SPH(Smoothed Particle Hydrodynamics) method is applied to impact buckling problem of circular tube. It has been shown by the experiments that there are several kinds of buckling modes, and they appear in different manner by the differences of impact velocity, mass of impact body and thickness of the circular tube. The numerical simulations are conducted by changing these parameters, and results are compared with those by experiments.

View full abstract

Using SPH method elastic plastic large deformation analyses were performed on the 2 bodies contact problems. The volume constant condition was imposed through the deformation process of materials and the condition was maintained using the constant condition of the number of particles. The results showed the smoothness of large deformation process of materials.

View full abstract

SPH using Moving-Least-Square (MLS) and Fixed Kernel is proposed and is applied to large deformation elastic-perfectly plastic analysis. SPH is one of the particle methods and is a powerful tool for large-scale hydro dynamics analysis. However, SPH is not efficient when the kernel functions are calculated at every step and.the spatial approximation is less accurate due to the only 0-th order consistency. In this study, Fixed Kernel method in which kernel is calculated only at the original configuration is utilized in order to reduce numerical cost and MLS interpolation is applied for the spatial approximation to improve accuracy. The Poisson's equation for pressure is solved to take account of incompressibility in plastic analysis. Numerical analysis of longitudinal vibrating bar and cylinder impact are demonstrated to validate the present method.

View full abstract