AN ANALYTICAL SOLUTION TO THE THREE-DIMENSIONAL PROBLEM ON ELASTIC EQUILIBRIUM OF AN EXPONENTIALLY-INHOMOGENEOUS LAYER

被引：17

作者：

Tokovyy, Y. ^{[1
]}

Ma, C. -C. ^{[2
]}

机构：

[1] Natl Acad Sci Ukraine, Pidstryhach Inst Appl Problems Mech & Math, Lvov, Ukraine

[2] Natl Taiwan Univ, Dept Mech Engn, Taipei 10764, Taiwan

来源：

JOURNAL OF MECHANICS | 2015年 / 31卷 / 05期

关键词：

Three-dimensional problem; Exponentially-inhomogeneous layer; Exact solution; Direct integration method; STRESS INTENSITY FACTORS; CRACK PROBLEM; GRADED MATERIALS; FRACTURE-MECHANICS; GREENS-FUNCTION; DISPLACEMENTS; BOUNDARY; CYLINDER; PLANE; PLATE;

D O I：

10.1017/jmech.2015.17

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

In this paper, we present an analytical solution to the general three-dimensional elasticity problem in a layer, whose Young's modulus varies exponentially within the thickness coordinate and the Poisson's ratio is constant. By making use of the direct integration method, the complete set of the governing equations in terms of stresses has been formed. The latter equations were reduced to separate equations for each stress-tensor component and then solved by means of the Fourier double-integral transformation with respect to the planar coordinates.

引用

页码：545 / 555

页数：11

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