A Statistical Model for Life-Length of Materials

1958137 citationsJournal Article

Authors

Z. W. Birnbaum · University of Washington

Abstract

Abstract A statistical model for life-lengths of structures under dynamic loading is derived. The model makes it possible to express the probability distribution of life-lengths in terms of the load given as a function of time and of deterioration occurring in time independently of loading. The special case of a constant load (or of periodic loading with constant amplitude) leads to gamma distributions for life lengths.

Topics & Keywords

Material Properties and Failure Mechanisms Engineering Diagnostics and Reliability

UN Sustainable Development Goals

Responsible consumption and production

Publication Details

Published in: Journal of the American Statistical Association

Volume 53, Issue 281, pp. 151-160

DOI: 10.1080/01621459.1958.10501433

Field-Weighted Citation Impact: 4.74