کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
807166 1467875 2013 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Stochastic fracture mechanics using polynomial chaos
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
پیش نمایش صفحه اول مقاله
Stochastic fracture mechanics using polynomial chaos
چکیده انگلیسی


• Polynomial Chaos (PC) representation of random crack propagation data obtained.
• Large replicate data sets of Virkler et al. and Ghonem and Dore considered;
• PC representations readily capture non-stationary behavior of da/dN versus dK data;
• Accurate PC representations also obtained for low order and dimension.

Crack propagation in metals has long been recognized as a stochastic process. As a consequence, crack propagation rates have been modeled as random variables or as random processes of the continuous. On the other hand, polynomial chaos is a known powerful tool to represent general second order random variables or processes. Hence, it is natural to use polynomial chaos to represent random crack propagation data: nevertheless, no such application has been found in the published literature. In the present article, the large replicate experimental results of Virkler et al. and Ghonem and Dore are used to illustrate how polynomial chaos can be used to obtain accurate representations of random crack propagation data. Hermite polynomials indexed in stationary Gaussian stochastic processes are used to represent the logarithm of crack propagation rates as a function of the logarithm of stress intensity factor ranges. As a result, crack propagation rates become log-normally distributed, as observed from experimental data. The Karhunen–Loève expansion is used to represent the Gaussian process in the polynomial chaos basis. The analytical polynomial chaos representations derived herein are shown to be very accurate, and can be employed in predicting the reliability of structural components subject to fatigue.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Probabilistic Engineering Mechanics - Volume 34, October 2013, Pages 26–39
نویسندگان
, ,