This paper deals with a new approach for solving fuzzy differential equations based on genetic programming. This method produces some trial solutions and seeks the best of them. If the solution cannot be expressed in a closed analytical form then our method produces an approximation with a controlled level of accuracy. Furthermore, the numerical results reveal the potential of the proposed appr...

Using disk form multilayers, a semi-analytical solution has been derived for determination of displacements and stresses in a rotating cylindrical shell with variable thickness under uniform pressure. The thick cylinder is divided into disk form layers form with their thickness corresponding to the thickness of the cylinder. Due to the existence of shear stress in the thick cylindrical shell wi...

This paper briefly reviews progres~ in the elastic plastic analysis of crack extension. Analytical results for plane strain and plane stress deformation fields are noted, and elastic-plastic fracture instability as well as transitional behavior and combined rate and thermal effects are discussed.

In this paper, a closed-form analytical solution for pricing convertible bonds on a single underlying asset with constant dividend yield is presented. To the author’s best knowledge, never has a closed-form analytical formula been found for American-style convertible bonds (CBs) of finite maturity time although there have been quite a few approximate solutions and numerical approaches proposed....

Original scientific paper In this paper, based on the overlapping deformation mode of load transfer law of uplift belled pile, and the theory of elastic mechanics, the elastic-plastic analytical solutions of uplift belled pile were derived, and the nonlinear elastic-plastic deformation analysis method was established, which made the deformation analysis theory of uplift belled pile more reasona...

In the analysis of boundary value problems in the theory of plasticity, the general situation arises that different partial differential equations are to be satisfied depending on whether the material is in the plastic or elastic state. The criterion determining the state at any material point depends on the dependent variables and their derivatives with respect to time. Thus the regions of app...

I The article presents an analytical solution to the problem of small oscillations a liquid in rigid tank with elastic baffle. This mechanical system is model for various oil tankers. frequency transcendental equation obtained closed form under certain assumptions, left side which meromorphic function infinite number simple poles. result achieved by expanding homogeneous into series terms eigen...

This paper summarizes progress in the development of finite element methods for three-dimensional elastic-plastic stress analysis in fracture mechanics. The work is directed toward the study of stress states near flaws such as a part-through crack in a pressure vessel wall, and emphasis is placed on the large scale plastic yielding range The development of a computer program with large computin...