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Journal of Vibration Testing and System Dynamics

C. Steve Suh (editor), Pawel Olejnik (editor),

Xianguo Tuo (editor)

Pawel Olejnik (editor)

Lodz University of Technology, Poland


C. Steve Suh (editor)

Texas A&M University, USA


Xiangguo Tuo (editor)

Sichuan University of Science and Engineering, China


Power Density — An Alternative Approach to Quantifying Fatigue Failure

Journal of Vcibration Testing and System Dynamics 2(4) (2018) 307--326 | DOI:10.5890/JVTSD.2018.12.002

Zachary T. Branigan, C. Steve Suh

Nonlinear Engineering and Control Lab, Department of Mechanical Engineering, Texas A&M University, College Station, TX 77843-3123, USA

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The power density theory is an alternate description of fatigue failure. It is derived from the concept of power density, which is physically equivalent to the amount of power deposited into a unit volume of the material experiencing dynamic loading. Power density results from changes in stress magnitude over time. All the stress alterna- tions that occur across a broad bandwidth of frequencies contribute to the accumulation of power density. Higher frequencies coupledwith faster changes in stress contribute more power density. Once this accumulation reaches a threshold – a fundamental property of the material – it is expected to fail by fatigue. The power density based methodology is applied to properly interpret the multiaxial vi- bration fatigue test results reported by Mršnik, Slavič and Boltežar [15] using computer simulations. This serves as a feasibility study for the approach, as well as an example of how to apply it. The power density response of the system is analyzed, and the failure locations are predicted for each of the ten load cases that are considered. The predicted failure locations are in excellent agreement with the exper- imental results. Further examination of the approach would result in a better understanding of fatigue failure, thus improving engineering work across many industries.


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