1. Date of download: 10/24/2017
Copyright © ASME. All rights reserved.
From: Numerical Modeling of Distributed Inhomogeneities and Their Effect on Rolling-Contact Fatigue Life
J. Tribol. 2014;137(1): doi: /
Figure Legend:
Basic material configuration and problem description. (a) Parametric model for the inhomogeneity i in a homogeneous half-space subjected to a Hertz contact load (contact radius r and maximum pressure p0). Parameters xi, yi, zi and ai, bi, ci are introduced to determine the location and size of the inhomogeneity. (b) Euler angles, θi, ξi, and ηi, for characterizing the orientations of the inhomogeneity.

2. Date of download: 10/24/2017
Copyright © ASME. All rights reserved.
From: Numerical Modeling of Distributed Inhomogeneities and Their Effect on Rolling-Contact Fatigue Life
J. Tribol. 2014;137(1): doi: /
Figure Legend:
Schematic of the half-space inclusion solution composed of two portions: the inclusion solution in the full space and the homogeneous solution in the half-space with surface traction cancellation

3. Date of download: 10/24/2017
Copyright © ASME. All rights reserved.
From: Numerical Modeling of Distributed Inhomogeneities and Their Effect on Rolling-Contact Fatigue Life
J. Tribol. 2014;137(1): doi: /
Figure Legend:
Average deviation between the equivalent eigenstrains of the double-inhomogeneity and single-inhomogeneity cases as a function of inhomogeneity distance, d. The double inhomogeneities have identical size and material properties.

4. Date of download: 10/24/2017
Copyright © ASME. All rights reserved.
From: Numerical Modeling of Distributed Inhomogeneities and Their Effect on Rolling-Contact Fatigue Life
J. Tribol. 2014;137(1): doi: /
Figure Legend:
Variation of the average eigenstrain deviation for distributed equivalent inclusions with respect to candidate influence radius. The distributed inhomogeneities are of spherical shapes having identical size and material properties.

5. Date of download: 10/24/2017
Copyright © ASME. All rights reserved.
From: Numerical Modeling of Distributed Inhomogeneities and Their Effect on Rolling-Contact Fatigue Life
J. Tribol. 2014;137(1): doi: /
Figure Legend:
Determination of the effective influence radius for arbitrarily distributed inhomogeneities with different volume fractions. A wide range of material combinations is considered. Two groups of inhomogeneities of different aspect ratios are employed for the computations.

6. Date of download: 10/24/2017
Copyright © ASME. All rights reserved.
From: Numerical Modeling of Distributed Inhomogeneities and Their Effect on Rolling-Contact Fatigue Life
J. Tribol. 2014;137(1): doi: /
Figure Legend:
Performance of the Bi-CGSTAB. The computational domain is 3r × 3r × 3r and the radius of the inhomogeneities is 0.02r. (a) Comparisons of time consumption between lower upper (LU) decomposition and Bi-CGSTAB for quasi-sparse linear systems. Influence matrix A has different fractions of nonzero elements. (b) Variations of time and memory usages with respect to the fraction of nonzero elements in influence matrix A for the Bi-CGSTAB.

7. Date of download: 10/24/2017
Copyright © ASME. All rights reserved.
From: Numerical Modeling of Distributed Inhomogeneities and Their Effect on Rolling-Contact Fatigue Life
J. Tribol. 2014;137(1): doi: /
Figure Legend:
SEM images for the titanium matrix composites. (a) Radial direction and (b) axial direction.

8. Date of download: 10/24/2017
Copyright © ASME. All rights reserved.
From: Numerical Modeling of Distributed Inhomogeneities and Their Effect on Rolling-Contact Fatigue Life
J. Tribol. 2014;137(1): doi: /
Figure Legend:
Probability density distributions for the distributed reinforcements. (a) Depth, z, of the TiB reinforcements; (b) major semi-axis, a, of the TiB reinforcements; (c) minor semi-axis, b, of the TiB reinforcements; (d) minor semi-axis, c, of the TiB reinforcements; (e) major semi-axis, a, of the TiC reinforcements; and (f) minor semi-axis, b, of the TiC reinforcements.

9. Date of download: 10/24/2017
Copyright © ASME. All rights reserved.
From: Numerical Modeling of Distributed Inhomogeneities and Their Effect on Rolling-Contact Fatigue Life
J. Tribol. 2014;137(1): doi: /
Figure Legend:
Regenerated distributions of the two types of reinforcements. (a) Radial direction and (b) axial direction.

10. Date of download: 10/24/2017
Copyright © ASME. All rights reserved.
From: Numerical Modeling of Distributed Inhomogeneities and Their Effect on Rolling-Contact Fatigue Life
J. Tribol. 2014;137(1): doi: /
Figure Legend:
Experiment setup and sample. (a) Schematic of the RCF life tester, the front view; (b) top view; and (c) rod samples before and after a RCF test and balls.

11. Date of download: 10/24/2017
Copyright © ASME. All rights reserved.
From: Numerical Modeling of Distributed Inhomogeneities and Their Effect on Rolling-Contact Fatigue Life
J. Tribol. 2014;137(1): doi: /
Figure Legend:
Variations of the relative RCF lives of the composite materials as functions of reinforcement distribution parameters. (a) Volume ratio; (b) reinforcement constituents at a given volume ratio; and (c) reinforcement size at a given volume ratio, 2% is used.

12. Date of download: 10/24/2017
Copyright © ASME. All rights reserved.
From: Numerical Modeling of Distributed Inhomogeneities and Their Effect on Rolling-Contact Fatigue Life
J. Tribol. 2014;137(1): doi: /
Figure Legend:
The ziggurat method with rectangles and a bottom base strip [42]