Computational Fracture Mechanics Analysis of Truck Tire Durability

[+] Author and Article Information
X. Allan Zhong

Technical Excellence Group, Halliburton Energy Services, 2601 Belt Line Road, Carrollton, TX 75006allan.zhong@halliburton.com

Skew symmetry exists at the centerline in typical tires under static vertical load or in a straight rolling tire under vertical load, and this skew symmetry should be accounted for in the half tire model.

Time marching refers to the number of cycles needed from one (model) crack size to the next one. To save time, the number of cycles used is at a million cycle level. For simple screening analysis, only results from the model with the initial crack size are used to project time for the crack to reach a critical size.

J. Appl. Mech 73(5), 799-806 (Jun 10, 2005) (8 pages) doi:10.1115/1.2069983 History: Received November 29, 2004; Revised June 10, 2005

A three-dimensional fracture mechanics model is formulated to study fatigue crack growth and durability in tires. The application of this model in a radial medium truck tire reveals fracture characteristics of belt edge cracks and helps to explain mechanical and material changes in the tire subject to indoor accelerated durability tests. Along with a proprietary fatigue crack growth law, a fracture mechanics based durability analysis methodology is developed and successfully applied to rank durability of tires with different constructions or different rubber materials.

Copyright © 2006 by American Society of Mechanical Engineers
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Figure 1

A buried crack at belt edge (a) of the shape of a closed ribbon; (b) disjoined cracks in circumference

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Figure 2

Illustration of crown area construction of a RMT tire

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Figure 3

Representative mesh in tire cross section for fracture mechanics analysis. The inlet is a description of the crack location with respect to the belt edge.

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Figure 4

Energy release rate distribution around the circumference at the belt edge crack tips in a RMT tire

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Figure 5

Predicted effect of the belt edge crack size on the belt edge ILS and cyclic ILS

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Figure 6

Experimental measurement of ILS, cyclic ILS at the belt edge of RMT tires removed from an accelerated durability test at different mileage

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Figure 7

Effect of the belt edge crack size on thermal conduction

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Figure 8

Temperature effect and R-ratio effect on the crack growth rate in a compound (log-log scale)

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Figure 9

Change of cross-link distribution vs test mileage (linear-linear scale)

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Figure 10

Decay of critical energy release rate vs test mileage (linear-linear scale)

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Figure 11

Fatigue crack growth rate at the belt edge crack tips in a tire under rated load (linear-linear scale)

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Figure 12

Comparison of predicted tire durability (mileage) to measurement from tests

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Figure 13

A tire under combined vertical and lateral load



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