Mechanical fatigue measurement via a vibrating cantilever beam for self-supported thin solid films

• Published in: Experimental mechanics Vol. 46; no. 4; pp. 503 - 517
• Main Authors: WANG, Y.-C, HOECHBAUER, T, SWADENER, J. G, MISRA, A, HOAGLAND, R. G, NASTASI, M
• Format: Journal Article
• Language: English
• Published: Heidelberg Springer 01.08.2006
• Subjects: Exact sciences and technology; Fracture mechanics (crack, fatigue, damage...); Fundamental areas of phenomenology (including applications); Measurement and testing methods; Physics; Solid mechanics; Structural and continuum mechanics; Measurement; Euler equation; Vibration; Deformation modulus; Feedback regulation; Displacement(deformation); Fatigue; Duffing oscillator; Cantilever; Modeling; Cantilever beam; Thin film; Young modulus; Non linear oscillator; Fatigue test; Thin solid films; Computer program; Resonance frequency; Duffing equation; Copper; Microdisplacement; Curve fitting; Actuator; Optical fiber
• ISSN: 0014-4851; 1741-2765
• DOI: 10.1007/s11340-006-7556-4

In this paper, we develop a novel experimental apparatus, referred to as the resonant frequency device, and establish methodology to measure the fatigue properties of thin solid films. Arranging thin-film strips of our specimens into the mechanical setting of a cantilever beam and using state-of-the-art piezo actuators to generate oscillation at the clamp of the cantilever, we create a system suitable for studying the material properties of the cantilever, such as Young's modulus, fatigue and possibly, loss tangent. Deformation of the cantilever is our controlled variable in the present study, and measured with fiber-optic probes pointed at the specimen and at the piezo driver. Stress is calculated from relative deformation of the cantilever specimen with respect to the piezo actuator via a photograph of the cantilever under vibration with a curve fitting method. A LabView computer program is developed for the fatigue tests to accurately count number of cycles applied on the specimens, and a feedback mechanism is adopted to maintain displacement during the tests. Here, we present our experimental setup, procedure and theoretical models for material-property extraction. For small displacement, the two-dimensional Euler-Bernoulli beam theory is adopted. With large displacement, the system behaves as the Duffing oscillator due to geometrical nonlinearity. In addition, some experimental observations of the piezo actuators and fiber optics are reported. The method is applied to evaluate the fatigue properties of nanolayered copper-niobium composites and significant increase in the fatigue endurance limit compared to the constituent materials in the bulk form is noted.