Substantial progress has been made over the past year on six aspects of the work supported by this grant. As a result, we have in hand for the first time a fairly complete set of transport models and improved statistical methods for testing them against large databases. We also have initial results of such tests. These results indicate that careful application of presently available transport theories can reasonably well produce a remarkably wide variety of tokamak data.

In the following section a brief review of constitutive models is presented along with the implications of using them in creep crack growth studies under variable loads. The model searched for this study, is discussed along with is special features that make is particularly suitable for this investigation. This model is based on the creep hardening surface and is particularly useful for variable and fully reversed load histories. In Section 3 an implicit finite element algorithm for this model is derived. Details regarding implementation of this method into FVP and existing FE program to study creep crack growth, are also discussed. The results of the algorithm are verified against closed form solutions for simple geometries in Section 4. Sources of error and differences between using explicit and implicit schemes are also presented. Section 5 compares the numerical results with experimental data for the case of combined tension and torsion and fully reversed load histories. Section 6 provides results of some of the constant load creep crack growth analyses that have been performed to date. Because a wealth of experimental data has been developed for creep crack under constant load conditions, the need to develop our own creep growth data for …

Substantial progress has been made over the past year on six aspects of the work supported by this grant. As a result, we have in hand for the first time a fairly complete set of transport models and improved statistical methods for testing them against large databases. We also have initial results of such tests. These results indicate that careful application of presently available transport theories can reasonably well produce a remarkably wide variety of tokamak data.

In the following section a brief review of constitutive models is presented along with the implications of using them in creep crack growth studies under variable loads. The model searched for this study, is discussed along with is special features that make is particularly suitable for this investigation. This model is based on the creep hardening surface and is particularly useful for variable and fully reversed load histories. In Section 3 an implicit finite element algorithm for this model is derived. Details regarding implementation of this method into FVP and existing FE program to study creep crack growth, are also discussed. The results of the algorithm are verified against closed form solutions for simple geometries in Section 4. Sources of error and differences between using explicit and implicit schemes are also presented. Section 5 compares the numerical results with experimental data for the case of combined tension and torsion and fully reversed load histories. Section 6 provides results of some of the constant load creep crack growth analyses that have been performed to date. Because a wealth of experimental data has been developed for creep crack under constant load conditions, the need to develop our own creep growth data for …

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