Material tailoring for reducing stress concentration factor at a circular hole in a functionally graded material (FGM) panel

2018 ◽  
Vol 205 ◽  
pp. 49-57 ◽  
Author(s):  
G.J. Nie ◽  
Z. Zhong ◽  
R.C. Batra
Keyword(s):  
Stress Concentration ◽  
Circular Hole ◽  
Functionally Graded Material ◽  
Stress Concentration Factor ◽  
Concentration Factor ◽  
Functionally Graded ◽  
Material Tailoring ◽  
Graded Material ◽  
Reducing Stress

Simple formulae for the stress concentration factor for two- and three-dimensional holes in finite domains

2002 ◽  
Vol 37 (3) ◽  
pp. 259-264 ◽  
Author(s):  
Q. Z Wang
Keyword(s):  
Stress Concentration ◽  
Circular Hole ◽  
Stress Concentration Factor ◽  
Concentration Factor ◽  
Spherical Cavity ◽  
Three Dimensional ◽  
Finite Domain ◽  
Three Dimensional Models ◽  
Finite Domains ◽  
Asymptotic Validity

First, based on an approximate analysis, simple closed-form expressions of the stress concentration factor (SCF) for two- or three-dimensional models with a circular hole or a spherical cavity in a finite domain are derived. Then, an asymptotic method is adopted to improve the accuracy of the derived solutions for an extremely large circular hole or spherical cavity, when the remaining ligament approaches zero. Exact limit SCF values for these two kinds of models were given by Koiter; these values are used for the adjustment of the coefficients in the SCF expressions. Finally, simple SCF formulae for these finite domain problems are obtained, their accuracy is demonstrated to be very good by comparison with the available data from the literature, and the asymptotic validity is guaranteed.

scholarly journals Stress Concentration and Damage Factor Due to Central Elliptical Hole in Functionally Graded Panels Subjected to Uniform Tensile Traction

Materials ◽  
2019 ◽  
Vol 12 (3) ◽  
pp. 422 ◽  
Author(s):  
Wenshuai Wang ◽  
Hongting Yuan ◽  
Xing Li ◽  
Pengpeng Shi
Keyword(s):  
Stress Concentration ◽  
Optimal Design ◽  
Stress Concentration Factor ◽  
Concentration Factor ◽  
Elliptical Hole ◽  
Tensile Load ◽  
Functionally Graded ◽  
Uniaxial Tensile ◽  
Damage Factor ◽  
Failure Index

Functionally graded material (FGM) can optimize the mechanical properties of composites by designing the spatial variation of material properties. In this paper, the stress distribution of functionally graded panel with a central elliptical hole under uniaxial tensile load is analyzed. Based on the inhomogeneity variation and three different gradient directions, the effects of the inhomogeneity on the stress concentration factor and damage factor are discussed. The study results show that when Young’s modulus increases with the distance from the hole, the stress concentration factor decreases compared with that of homogeneous material, and the optimal design of r-FGM is better than that of x-FGM and y-FGM when the tensile load. In addition, when the associated variation of ultimate stress is considered, the choice of scheme to reduce the failure index is related to the strength-modulus exponent ratio. When the strength-modulus exponent ratio is small, the failure index changes with the index of power-law, which means there is an optimal FGM design. But when the strength-modulus exponent ratio is large, the optimal design modulus design is to select a uniform material that maximizes the modulus at each point. These research results have a certain reference value for further in-depth understanding of the inhomogeneous design for FGM.

On the Axisymmetrical Stress Concentration at an Eccentrically Reinforced Circular Hole in a Plate

1965 ◽  
Vol 16 (1) ◽  
pp. 15-32 ◽  
Author(s):  
W. H. Wittrick
Keyword(s):  
Stress Concentration ◽  
Circular Hole ◽  
Stress Concentration Factor ◽  
Concentration Factor ◽  
Dimensionless Parameter ◽  
Annular Plate ◽  
Infinite Extent ◽  
Non Linear

SummaryThis paper is concerned with the effectiveness of reinforcing a hole in a plate on one surface only. The particular problem considered is that of a circular hole in a plate of infinite extent, subjected to axially symmetrical tension at infinity, when the reinforcement consists of an annular plate on one surface. Because of the interaction between bending and stretching, the problem is highly non-linear and it has only been possible to solve it for certain limiting cases. The stress concentration factor depends on a dimensionless parameter proportional to the tension at infinity. It is shown that the stress concentration factor is increased, because of the eccentricity of the reinforcement, if the parameter is small, but for values of the parameter greater than a certain minimum the stress concentration factor is decreased. The results also make it quite clear that there is no possibility of obtaining reasonably accurate results by linearisation of the equations.

Creep stress redistribution in a visco-elastoplastic strip containing a hole

1983 ◽  
Vol 18 (1) ◽  
pp. 1-6 ◽  
Author(s):  
T Nishitani ◽  
N Kobayashi
Keyword(s):  
Stress Concentration ◽  
Circular Hole ◽  
Stress Concentration Factor ◽  
Concentration Factor ◽  
Stress Raiser ◽  
Tensile Loading ◽  
Stress Redistribution ◽  
Time Dependent ◽  
Creep Stress

The time dependent variation of the stress concentration factor during creep is discussed for a visco-elastoplastic celluloid strip containing a circular hole. The variation of stress at this stress raiser is analysed by means of a proposed photo-viscoplasticity method for several cases of tensile loading.

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