On Nonstationary Cumulative Damage Models

1982 ◽  
Vol 49 (1) ◽  
pp. 37-42 ◽  
Author(s):  
J. L. Bogdanoff ◽  
F. Kozin
Keyword(s):  
Cumulative Damage ◽  
Time Transformation ◽  
Transition Matrices ◽  
Damage Models ◽  
Condensation Method ◽  
Damage Process

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.

Fitting epidemiologic follow-up studies with cumulative damage models

1994 ◽  
Vol 120 (2) ◽  
pp. 147-163 ◽  
Author(s):  
Nikolaus Becker ◽  
Werner Rittgen
Keyword(s):  
Cumulative Damage ◽  
Damage Models ◽  
Follow Up Studies

Cumulative Damage Mechanics: Characterization, Modeling, and Interpretation of Progressive Failure in Ceramics and Composites

2004 ◽  
Author(s):  
Michael G. Jenkins ◽  
Paul E. Labossie`re ◽  
Jonathan A. Salem
Keyword(s):  
Damage Mechanics ◽  
Progressive Failure ◽  
Ceramic Matrix Composites ◽  
Test Methods ◽  
Cumulative Damage ◽  
Material Behavior ◽  
Matrix Composites ◽  
Damage Models ◽  
Novel Design ◽  
Nonlinear Energy

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.

Chapter 5: Cumulative Damage Models with Random Working Times

2014 ◽  
pp. 79-98 ◽  
Author(s):  
Xufeng Zhao ◽  
Cunhua Qian ◽  
Shey-Huei Sheu
Keyword(s):  
Cumulative Damage ◽  
Damage Models

Comparison of Three Cumulative Damage Models

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

Failure distributions of shock models

1980 ◽  
Vol 17 (03) ◽  
pp. 745-752 ◽  
Author(s):  
Gary Gottlieb
Keyword(s):  
Failure Rate ◽  
Sufficient Conditions ◽  
Cumulative Damage ◽  
Shock Model ◽  
Life Distribution ◽  
Increasing Failure Rate ◽  
Shock Models ◽  
Damage Process

A single device shock model is studied. The device is subject to some damage process. Under the assumption that as the cumulative damage increases, the probability that any additional damage will cause failure increases, we find sufficient conditions on the shocking process so that the life distribution will be increasing failure rate.

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