Stress concentration close to an elliptic hole in a spherical shell

1968 ◽  
Vol 4 (9) ◽  
pp. 77-79 ◽  
Author(s):  
G. Titarenko
Keyword(s):  
Stress Concentration ◽  
Spherical Shell ◽  
Elliptic Hole

scholarly journals A note on stress concentration around an elliptic hole in micropolar elasticity

1976 ◽  
Vol 19 (3) ◽  
pp. 289-293 ◽  
Author(s):  
Animesh Basu
Keyword(s):  
Stress Concentration ◽  
Elliptic Hole ◽  
Infinite Plate ◽  
Micropolar Elasticity ◽  
Micropolar Theory ◽  
Axial Tension

AbstractWithin the scope of Eringen's linearised micropolar theory, this note outlines a solution for the stress concentration around an elliptic hole in an infinite plate under axial tension.

Investigation of Pressure Stress Concentration Factors for Intersecting Elliptic Bores With Circular Bores in Blocks

2009 ◽  
Author(s):  
Elie A. Badr ◽  
Nataly Yousef
Keyword(s):  
Regression Analysis ◽  
Stress Concentration ◽  
Tilt Angle ◽  
Hoop Stress ◽  
Elliptic Hole ◽  
Lower Stress ◽  
Circular Holes ◽  
Concentration Factors ◽  
Stress Concentration Factors ◽  
Pressure Stress

Stress concentration factors due to intersecting elliptic bores as well as circular bores in blocks have been thoroughly investigated by Badr [1] and Sorem et al [2]. Results of these investigations indicated that intersecting elliptic crossbores generate lower stress concentration factors than those due to intersecting circular crossbores. In this study, we investigate stress concentration factors for crossbores in blocks (cubical and rectangular) emanating from intersecting elliptic with circular holes. Comparing these results with those generated by Badr [1] for elliptic hole intersections; it was found that crossbores due to intersecting elliptic with circular bores generate higher hoop stress concentration factors. A regression analysis was also performed to determine a relationship between the stress concentration factors, the bore ratio (a2/a1) and the tilt angle θ.

scholarly journals Analytical solution for the stress field of hierarchical defects: multiscale framework and applications

2020 ◽  
Author(s):  
Baijian Wu ◽  
Sheng Zhou ◽  
Zhaoxia Li
Keyword(s):  
Stress Concentration ◽  
Analytical Solution ◽  
Stress Field ◽  
Elliptic Hole ◽  
Mapping Function ◽  
Interactive Effects ◽  
Multiscale Approach ◽  
Separated Representations ◽  
Macroscopic Defect ◽  
Unified Method

Abstract Hierarchical defects are defined as adjacent defects at different length scales. Involved are the two scales where the stress field distribution is interrelated. Based on the complex variable method and conformal mapping, a multiscale framework for solving the problems of hierarchical defects is formulated. The separated representations of mapping function, the governing equations of potentials, and the stress field are subsequently obtained. The proposed multiscale framework can be used to solve a variety of simplified engineering problems. The case in point is the analytical solution of a macroscopic elliptic hole with a microscopic circular edge defect. The results indicate that the microscopic defect aggregates the stress concentration on the macroscopic defect and likely leads to global propagation and rupture. Multiple micro-defects have interactive effects on the distribution of the stress field. The level of stress concentration may be reduced by the coalescence of micro-defects. This work provides a unified method to analytically investigate the influence of edge micro-defects within the scope of multiscale hierarchy. The formulated multiscale approach can also be potentially applied to materials with hierarchical defects, such as additive manufacturing and bio-inspired materials.

Finite Element Analysis of Stress Concentration Problems Based on Cosserat Continuum Model

2011 ◽  
Vol 99-100 ◽  
pp. 939-943
Author(s):  
Hong Xiang Tang ◽  
Yu Hui Guan
Keyword(s):  
Finite Element ◽  
Stress Concentration ◽  
Finite Elements ◽  
Scale Effects ◽  
Elliptic Hole ◽  
Continuum Theory ◽  
Cosserat Continuum ◽  
Element Analysis ◽  
Concentration Phenomena ◽  
Consistent Solution

In the present work, the Cosserat micro-polar continuum theory is introduced into the FEM numerical model, which is used to simulate the stress concentration problems. The stress concentration phenomena around circular hole, elliptic hole and rhombic hole in plane strain condition, are numerically simulated by two types of Cosserat continuum finite elements of the standard displacement and rotation u4ω4 and u8ω8 based on Dirichlet principle. It is indicated that, compared with the classical continuum finite element, these two Cosserat continuum finite elements can reflect the steep strain gradient and scale effects occurring in the stress concentration problems, and they can weaken the stress concentration and may get consistent solution with actual situation.

Sign in / Sign up

Export Citation Format

Share Document