Chapter 5: Cumulative Damage Models with Random Working Times

Author(s):  
Xufeng Zhao ◽  
Cunhua Qian ◽  
Shey-Huei Sheu
1994 ◽  
Vol 120 (2) ◽  
pp. 147-163 ◽  
Author(s):  
Nikolaus Becker ◽  
Werner Rittgen

Author(s):  
Michael G. Jenkins ◽  
Paul E. Labossie`re ◽  
Jonathan A. Salem

Ceramic matrix composites (CMCs) have evolved to exhibit inherent damage tolerance through nonlinear energy absorption mechanisms while retaining the desirable attributes of their monolithic structural ceramic counterparts. Mathematical (analytic and numeric) models together with experimental measurements of this damage absorption have aided in understanding the thermomechanical behavior of CMCs. This understanding has led to improved test methods, better predictive modeling of material behavior, appropriate processing methods, and finally novel design methodologies for implementing CMCs. In this paper, background on CMC damage is presented, damage measurement and damage models are discussed and finally probabilistic aspects of constituent materials that can be used to illustrate the cumulative damage behavior of CMCs are described.


2011 ◽  
Vol 8 (1) ◽  
pp. 57-66 ◽  
Author(s):  
Ito Kodo ◽  
Nakagawa Toshio

1982 ◽  
Vol 49 (1) ◽  
pp. 37-42 ◽  
Author(s):  
J. L. Bogdanoff ◽  
F. Kozin

In this paper, we continue our study of embedded Markoff Chain Models of Cumulative Damage. We introduce and discuss a time transformation that leads to a condensation method. This method appears to be unusally comprehensive and a practical way to study nonstationary models of cummulative damage. Further, it allows us to estimate the desired nonstationary transition matrices providing a means of gaining further insights into the cumulative damage process. Examples are presented and further directions of research are indicated.


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