Explicit crack problem solutions of unidirectional composites - Elastic stress concentrations

AIAA Journal ◽  
1990 ◽  
Vol 28 (3) ◽  
pp. 499-505 ◽  
Author(s):  
Fuminori Hikami ◽  
Tsu-Wei Chou
Keyword(s):  
Elastic Stress ◽  
Crack Problem ◽  
Stress Concentrations ◽  
Unidirectional Composites

Elastic Stress Concentrations for the Torsion of Hollow Shouldered Shafts Determined by an Electrical Analogue

1964 ◽  
Vol 15 (1) ◽  
pp. 83-96 ◽  
Author(s):  
K. R. Rushton
Keyword(s):  
Stress Concentration ◽  
Elastic Stress ◽  
Plastic Region ◽  
Stress Concentrations ◽  
Electrical Analogue ◽  
Shoulder Diameter ◽  
Concentration Factors ◽  
Stress Concentration Factors

SummaryThe elastic stress concentration factors for the torsion of solid and hollow shouldered shafts have been determined by means of a pure resistance electrical analogue. Fillet radii ranged from 0.05 to 1.0 times the diameter of the smaller shaft, and the shoulder diameter increased from 1.0 to 8.10 times the diameter of the smaller shaft. A comparison is made with the results of other techniques. A study has also been made of the formation of a plastic region in the neighbourhood of the fillet.

Stress Concentrations in Three-Dimensional Electrostriction

1967 ◽  
Vol 34 (2) ◽  
pp. 431-436 ◽  
Author(s):  
T. E. Smith
Keyword(s):  
Displacement Vector ◽  
Spherical Inclusion ◽  
Crack Problem ◽  
Three Dimensional ◽  
Theory Of Elasticity ◽  
Uniform Electric Field ◽  
Inclusion Problem ◽  
Stress Concentrations ◽  
Displacement Potential ◽  
Penny Shaped Crack

Using the techniques employed in developing a Papkovich-Neuber representation for the displacement vector in classical elasticity, a particular integral of the kinematical equations of equilibrium for the uncoupled theory of electrostriction is developed. The particular integral is utilized in conjunction with the displacement potential function approach to problems of the theory of elasticity to obtain closed-form solutions of several stress concentration problems for elastic dielectrics. Under a prescribed uniform electric field at infinity, the problems of an infinite elastic dielectric having first a spherical cavity and then a rigid spherical inclusion are solved. The rigid spheroidal inclusion problem and the penny-shaped crack problem are also solved for the case where the prescribed field is parallel to their axes of revolution.

Stress Concentrations in Circular Tubular Members Containing Local Damage

1989 ◽  
Vol 111 (4) ◽  
pp. 278-284 ◽  
Author(s):  
C. K. W. Tam ◽  
J. G. A. Croll
Keyword(s):  
Analytical Method ◽  
Elastic Stress ◽  
Geometric Errors ◽  
Local Damage ◽  
Stress Concentrations ◽  
Load Function ◽  
Axially Loaded ◽  
Local Dent

Offshore structural circular tubular members suffering from local dent damage can develop extreme stresses at locations around the dent area. An analytical method for the prediction of elastic stress concentrations in locally damaged circular tubular members is presented. The method is based upon replacing geometric errors with an appropriately chosen load function to be applied to the perfect member for analysis. A simpler approach based upon an axisymmetric analysis, suitable for speedy assessment of the damage effects, is also presented. Axially loaded tubulars containing an idealized dent under stress and displacement-controlled situations are included.

Stress Concentrations at the Rounded Edges of a Shaft-Hub Interference Fit Expressed in Terms of a Coefficient Normalizing the Coupling Geometry and the Young’s Modulus Effects

2012 ◽  
Author(s):  
Antonio Strozzi ◽  
Andrea Baldini ◽  
Matteo Giacopini ◽  
Enrico Bertocchi ◽  
Luca Bertocchi
Keyword(s):  
Stress Concentration ◽  
Young’S Modulus ◽  
Elastic Stress ◽  
Young's Modulus ◽  
Outer Radius ◽  
Stress Concentrations ◽  
Interference Fit ◽  
Press Fit ◽  
Fillet Radius ◽  
Inner Radius

The elastic stress concentrations developed from the keyless, frictionless, static press-fit of a solid shaft into a hub with bore rounded edges are addressed. Derived from an analytical approach, a normalising parameter Φ is employed that accounts for the combined effects on the hub stress concentration of the fillet radius of the hub bore, the shaft radius, the interference, and the Young’s modulus. Compiled with the aid of Finite Elements, several design charts are presented that report the elastic stress concentrations within the hub versus the normalising parameter Φ. Each curve is valid for prescribed ratios of a) the hub inner radius to the outer radius, and b) the fillet radius to the shaft radius. An approximating expression of ample validity is also presented for a prompt evaluation of the hub stress concentration factor.

Yielding and Plastic Flow in Stainless Steel: A TEM Study of the Evolution of Microstructure Associated with the Stress-Strain Diagram

1980 ◽  
Vol 38 ◽  
pp. 386-387
Author(s):  
L.E. Murr ◽  
S-H. Wang
Keyword(s):  
Grain Boundaries ◽  
Elastic Stress ◽  
Metals And Alloys ◽  
Strain Diagram ◽  
Stress Concentrations ◽  
Polycrystalline Metals ◽  
Pile Up ◽  
Local Slip ◽  
Evolution Of Microstructure

In spite of the fascination with dislocation pile-ups and the description of flow in metals and alloys based upon pile-up models, evidence has existed for decades suggesting that slip often if not always starts at grain boundaries in polycrystalline metals and alloys. Hook and Hirth showed that elastic incompatibility could result in local slip at the boundary between bicrystals, and their contention that local elastic stress concentrations at grain boundaries would aid slip nucleation was confirmed by Carrington, etal. Ashby has also described polycrystalline metals and alloys as plastically non-homogeneous because gradients of plastic deformation are imposed by the grain boundaries, and Murr has discussed the role of grain boundary ledges as initial sources for dislocations when polycrystalline metals and alloys are deformed. Brentnall and Rostoker earlier concluded that grain boundaries are both sources of early dislocations and barriers limiting their movement at higher stresses, and that slip is confined to grains in which it was initiated until the yield point is reached.

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