S-plane analysis for the fundamental problems of a stretched infinite plate weakened by curvilinear holes
نویسنده
چکیده
Complex variable methods are used to obtain exact and closed expressions for Goursat’s functions for the stretched infinite plate weakened by two inner holes which are free from stresses. The plate considered is conformally mapped on the area of the right half-plane. Previous work is considered as special cases of this work. Cases of different shapes of holes are included. Also, many new cases are discussed using this mapping.
منابع مشابه
Fundamental Problems for a Weakened Infinite Plate by a Curvilinear Hole in a Half-plane
Complex variable method (Cauchy integral method) has been applied to derive exact and closed expressions of Goursat functions for the first and second fundamental problems for an infinite plate weakened by a curvilinear hole. The area outside the hole with the hole itself is conformally mapped on the right half-plane by the use of a rational mapping function. This rational mapping consists of c...
متن کاملOptimization of infinite composite plates with quasi-triangular holes under in-plane loading
This study used particle swarm optimization (PSO) to determine the optimal values of effective design variables acting on the stress distribution around a quasi-triangular hole in an infinite orthotropic plate. These parameters were load angle, hole orientation, bluntness, fiber angle, and material properties, which were ascertained on the basis of an analytical method used by Lekhnitskii [3]. ...
متن کاملMathematical Treatment for Thermoelastic Plate with a Curvilinear Hole in S-plane
The Cauchy integral method has been applied to derive exact and closed expressions for Goursat’s functions for the first and second fundamental problems for an infinite thermoelastic plate weakened by a hole having arbitrary shape. The plate considered is conformally mapped to the area of the right half-plane. Many previous discussions of various authors can be considered as special cases of th...
متن کاملGoursat functions for an infinite plate with a generalized curvilinear hole in zeta-plane
Here, we used a rational mapping function with complex constants to derive exact and close expressions of Gaursat functions for the first and second fundamental problems (plane elasticity problems) of an infinite plate weakened by a hole having arbitrary shape. Notable, the area outside the hole is conformally mapped outside a unit circle by means of the rational mapping. The complex variable m...
متن کاملSolution of Fredholm Integrodifferential Equation for an Infinite Elastic Plate
Many authors discussed the problem of an elastic infinite plate with a curvilinear hole, some of them considered this problem in z-plane and the others in the s-plane. They obtained an exact expression for Goursat’s functions for the first and second fundamental problem. In this paper, we use the Cauchy integral method to obtain a solution to the first and second fundamental problem by using a ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- Int. J. Math. Mathematical Sciences
دوره 2004 شماره
صفحات -
تاریخ انتشار 2004