Larson-Miller method

The Larson-Miller method is applicable to a variety of materials, including ceramics, and is most commonly used because of its simplicity. This relation is given as ... 

There are parametric methods for determining the creep lifetime of materials. Such methods are based on evaluating the stress-rupture behavior. In essence, the results of short-duration, high-temperature tests are correlated with the performance of long-term tests at lower temperatures. The most popular parametric methods are (a) Larson-Miller (b) Manson-Haferd (c) Orr-Sherby-Dom and, (d) Monkman-Grant. Of these methods, the following is a discussion on the Larson-Miller and the Monkman-Grant methods to the evaluation of ceramic-material lifetimes. 

Fig. 11.19 Application of Larson-Miller parameter method to creep of a [90/60/-60/90J2S graphite/epoxy laminate. (Data from Dillard, (1981)). Line is a fit of the data using the Larson Miller equation.

The Larson-Miller and other similar methods have been widely used for metals but here it is important to note that difficulties arise for fiber reinforced composite laminates because the constants are only valid for one configuration of the plies and a more general approach is needed. Dillard (1981) developed an incremental viscoelastic time dependent lamination theory approach that included the Tsai-Hill failure law modified to account for delayed failures using the Zhurkov time dependent failure model that will be discussed in the next section. The advantage of the Dillard approach is that information on the viscoelastic behavior as well as the delayed failure behavior of 0°, 10° and 90° plies can be used to predict the behavior of general laminate configurations. 

Discuss the relative merits of the Larson Miller parameter method and the Zurkov method compared to the Reiner-Weissenberg crite-... 

Miller, M.K., Russell, K.F., Thompson, K., Alvis, R., Larson, D.J. (2007) Review of atom probe FIB-based specimen preparation methods. Microscopy and Microanalysis, 13,428-436. 

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