System performance of damage self-healing systems under random shocks by using discrete state method

Abstract Systems with self-healing mechanism have been successfully applied in many practical fields. However, the self-healing action has less been considered when discussing the reliability performance of systems subject to degradation or shocks. In this paper, we study a damage self-healing system subject to random shocks where the shock arrival times are described by a Poisson process with different intensities due to the accumulated system damage. When the system is majorly damaged, i.e., the state of the system is worse than a specified state, it loses the ability of self-healing. By using the discrete state method, the evolution of the system state can be modeled by a Markov renewal process. Then the system performance indexes, for example, the system reliability, the remaining lifetime distribution, the expected number of shocks and the availabilities are derived in the analytical forms. Finally, a numerical example is illustrated to demonstrate the framework we derived in this paper and show the influence of self-healing mechanism.

[1]  Dong-Wan Tcha,et al.  On stacking bi-directional self-healing-rings on a conduit ring , 2003, Comput. Ind. Eng..

[2]  Sybrand van der Zwaag,et al.  Increasing the reliability of solid state lighting systems via self-healing approaches: A review , 2012, Microelectron. Reliab..

[3]  Serkan Eryilmaz,et al.  Computing optimal replacement time and mean residual life in reliability shock models , 2017, Comput. Ind. Eng..

[4]  Melike Baykal-Gursoy,et al.  Maintenance of infinite-server service systems subjected to random shocks , 2013, Comput. Ind. Eng..

[5]  Lei Jiang,et al.  Reliability and Maintenance Modeling for Dependent Competing Failure Processes With Shifting Failure Thresholds , 2012, IEEE Transactions on Reliability.

[6]  M. Bermúdez,et al.  Self-Healing of Abrasion Damage in Epoxy Resin–Ionic Liquid Nanocomposites , 2015, Tribology Letters.

[7]  Khac Tuan Huynh,et al.  Modeling age-based maintenance strategies with minimal repairs for systems subject to competing failure modes due to degradation and shocks , 2012, Eur. J. Oper. Res..

[8]  Min Xie,et al.  An imperfect maintenance policy for mission-oriented systems subject to degradation and external shocks , 2016, Comput. Ind. Eng..

[9]  Viliam Makis,et al.  An optimal condition-based maintenance policy for a degrading system subject to the competing risks of soft and hard failure , 2015, Comput. Ind. Eng..

[10]  Shubin Si,et al.  Optimal maintenance-replacement policy of products with competing failures after expiry of the warranty , 2016, Comput. Ind. Eng..

[11]  Hoang Pham,et al.  Reliability modeling of multi-state degraded systems with multi-competing failures and random shocks , 2005, IEEE Trans. Reliab..

[12]  Qianmei Feng,et al.  Reliability analysis of multiple-component series systems subject to hard and soft failures with dependent shock effects , 2016 .

[13]  Yu Zhao,et al.  Reliability modeling for mutually dependent competing failure processes due to degradation and random shocks , 2017 .

[14]  Lirong Cui,et al.  Reliability for systems with self-healing effect under shock models , 2018 .

[15]  Nan Chen,et al.  The Inverse Gaussian Process as a Degradation Model , 2014, Technometrics.

[16]  C. Joseph Lu,et al.  Using Degradation Measures to Estimate a Time-to-Failure Distribution , 1993 .

[17]  Lirong Cui,et al.  Reliability performance for dynamic multi-state repairable systems with K regimes , 2017 .

[18]  Enrico Zio,et al.  Integrating Random Shocks Into Multi-State Physics Models of Degradation Processes for Component Reliability Assessment , 2015, IEEE Transactions on Reliability.

[19]  Inmaculada Torres Castro,et al.  Maintenance Policy for a System With Stochastically Dependent Failure Modes With Shock-Accumulation Effect , 2016, IEEE Transactions on Reliability.

[20]  Serkan Eryilmaz,et al.  δ-shock model based on Polya process and its optimal replacement policy , 2017, Eur. J. Oper. Res..

[21]  Shaomin Wu,et al.  Reliability analysis of two-unit cold standby repairable systems under Poisson shocks , 2011, Appl. Math. Comput..

[22]  Xiao Wang,et al.  An Inverse Gaussian Process Model for Degradation Data , 2010, Technometrics.

[23]  Jeffrey S. Moore,et al.  Self-Healing Polymers and Composites , 2010 .

[24]  Michael R. Kessler,et al.  Self-healing: A new paradigm in materials design , 2007 .

[25]  Guoqiang Li,et al.  Thermomechanical characterization of a shape memory polymer based self-repairing syntactic foam , 2010 .

[26]  Sungho Kang,et al.  A 3 Dimensional Built-In Self-Repair Scheme for Yield Improvement of 3 Dimensional Memories , 2015, IEEE Transactions on Reliability.

[27]  Juan Eloy Ruiz-Castro.  Markov counting and reward processes for analysing the performance of a complex system subject to random inspections , 2016, Reliab. Eng. Syst. Saf..

[28]  Li Yang,et al.  A condition-based maintenance model for a three-state system subject to degradation and environmental shocks , 2017, Comput. Ind. Eng..

[29]  Shijia Du,et al.  Some reliability indexes and sojourn time distributions for a repairable degradation model , 2016 .

[30]  T. Chou,et al.  Carbon Nanotube Networks: Sensing of Distributed Strain and Damage for Life Prediction and Self Healing , 2006 .

[31]  Dhirendra Kumar,et al.  Preparation and characterization of microcapsules containing linseed oil and its use in self-healing coatings , 2008 .

[32]  Chien-Yu Peng,et al.  Inverse Gaussian Processes With Random Effects and Explanatory Variables for Degradation Data , 2015, Technometrics.

[33]  David W. Coit,et al.  Condition-Based Maintenance for Repairable Deteriorating Systems Subject to a Generalized Mixed Shock Model , 2015, IEEE Transactions on Reliability.

[34]  Hanlin Liu,et al.  Reliability modeling for dependent competing failure processes of damage self-healing systems , 2017, Comput. Ind. Eng..

[35]  C. Richard Cassady,et al.  Optimal maintenance policies for systems subject to a Markovian operating environment , 2012, Comput. Ind. Eng..

[36]  Zehui Li,et al.  An extended extreme shock maintenance model for a deteriorating system , 2008, Reliab. Eng. Syst. Saf..

[37]  Lirong Cui,et al.  Maintenance Models and Optimization , 2008 .

[38]  Maurizio Guida,et al.  A State-Dependent Wear Model With an Application to Marine Engine Cylinder Liners , 2010, Technometrics.

[39]  Mark E. Robeson,et al.  Comparison of Electronic Component Durability Under Uniaxial and Multiaxial Random Vibrations , 2015 .

[40]  Peng Zhao,et al.  Reliability Analysis on the $\delta$-Shock Model of Complex Systems , 2007, IEEE Transactions on Reliability.

[41]  Qianmei Feng,et al.  Reliability modeling for dependent competing failure processes with changing degradation rate , 2014 .

[42]  David W. Coit,et al.  Reliability and maintenance modeling for systems subject to multiple dependent competing failure processes , 2010 .