An analytical model to evaluate the fatigue crack effects on the hybrid photovoltaic-thermoelectric device

Author(s):  
Y.J. Cui ◽  
B.L. Wang ◽  
K.F. Wang ◽  
G.G. Wang ◽  
A.B. Zhang
Author(s):  
Majid Mirzaei ◽  
Mehdi Salavatian ◽  
Hasan Biglari

Internal gaseous detonation in cylindrical tubes can cause pressure loadings that move at high speeds. The resulting flexural waves in the tube wall can lead to high strains, which may exceed the equivalent static strains by up to a factor of 4. This paper starts with a brief review of an analytical model for the transient dynamic response of cylindrical tubes with finite length to internal detonation loading. The formulation of this analytical model considers the effects of transverse shear and rotary inertia and also accounts for the effects of reflected waves. The strain history obtained from this model is used to predict the cyclic growth of a hypothetical preexisting crack in a detonation tube using the AFGROW software. The second part of the paper describes the numerical investigation of the whole process. A simulated detonation loading is applied and the resulting fatigue crack growth is modeled using the FRANC3D software and its boundary element solver. The results indicate that realistic fatigue life predictions for tubes subjected to internal detonation require the consideration of the entire spectrum of strain and stress fluctuations, including the reflected flexural waves.


Author(s):  
E. Sgambitterra ◽  
P. Magarò ◽  
F. Niccoli ◽  
F. Furgiuele ◽  
C. Maletta

AbstractFatigue crack growth of austenitic and martensitic NiTi shape memory alloys was analyzed, with the purpose of capturing the effects of distinct stress-induced transformation mechanics in the two crystal structures. Mode I crack growth experiments were carried out, and near-crack-tip displacements were captured by in-situ digital image correlation (DIC). A special fitting procedure, based on the William’s solution, was used to estimate the effective stress intensity factor (SIF). The SIF was also computed by linear elastic fracture mechanics (LEFM) as well as by a special analytical model that takes into account the unique thermomechanical response of SMAs. A significant difference in the crack growth rate for the two alloys was observed, and it has been attributed to dissimilar dissipative phenomena and different crack-tip stress–strain fields, as also directly observed by DIC. Finally, it was shown that the predictions of the analytical method are in good agreement with effective results obtained by DIC, whereas a very large mismatch was observed with LEFM. Therefore, the proposed analytical model can be actually used to analyze fatigue crack propagation in both martensitic and austenitic NiTi.


Author(s):  
Baotong Lu ◽  
Brian P. Somerday ◽  
Stephen J. Hudak

Laboratory testing has shown that sour brine environments can reduce the fatigue life of offshore steels by factors of 10× to 50× compared to fatigue lives measured in laboratory air. Thus, in order to ensure safe, reliable, and environmentally-friendly deepwater development, the effect of these sour service environments must be properly accounted for in riser and flowline design. However, to ensure that the environmental effect is fully captured, tests need to be conducted at cyclic loading frequencies representative of those experienced in service (typically 0.1 Hz or less), which makes corrosion-fatigue testing very time-consuming and costly. Consequently, there has been a need for predictive models that can reduce the dependence on extensive long-term testing, while at the same time enable existing data to be interpolated and/or extrapolated over a broad domain of relevant mechanical, environmental, and material variables. In response to this need, a Joint Industry Project (JIP) was organized by Southwest Research Institute® (SwRI®) with the objective of developing and validating an analytical model to predict corrosion-fatigue performance of structural steels in sour brine environments. The resulting model is based on the kinetics of hydrogen generation and transport to a fracture process zone (FPZ), where embrittlement occurs in the hydrostatic stress field ahead of the growing crack. The advantage of this kinetic model is that details of the embrittlement process, which are not presently well defined, need not be included since corrosion fatigue crack growth (CFCG) is governed by the rate-controlling process (RCP) in the elemental kinetic steps that supply hydrogen to the FPZ. A general outline of this model is provided here and its validation against independently generated experimental data is demonstrated. The validated model has been implemented in spreadsheet format for convenience as an engineering tool. Due to the fundamental concepts underpinning the model, the engineering tool is shown to be adaptable to predicting CFCG rates in steels exposed to a variety of other environments — including hydrated and dehydrated sour crude oil, moist H2S gas, sweet brine, and seawater — with and without cathodic polarization. An extension of this Phase 1 model from intermediate to lower CFCG rates is currently underway in Phase 2 of the JIP but will not be discussed in detail in the present paper. The primary objective of this paper is to introduce the engineering tool based on the Phase 1 analytical model and demonstrate its functionality in quantifying CFCG rates over wide ranges of mechanical variables (stress-intensity factor range (ΔK), load ratio (Rσ), and cyclic loading frequency), environmental variables (H2S partial pressure, pH, temperature, applied potential), and material variables (yield strength).


Author(s):  
Mana Afshari ◽  
Brad A. Butrym ◽  
Daniel J. Inman

This paper examines the vibration-based monitoring technique to quantify the smallest crack size that is detectable in Aluminum beams using piezoceramic excitation and sensing. Having the analytical model of the effect of crack formation on the frequency response of the system, the effect of temperature is also taken into consideration to have a better understanding of the damage effect. The analytical model used in the present work is based on the recent model introduced by Aydin (2008) which is a simplified version of the model used by Khiem et. al. (2001). The beam studied here is assumed to be a uniform Euler-Bernoulli beam having a single fatigue crack and being axially loaded. The crack is treated as a localized reduction in the stiffness and is modeled as a massless rotational spring at the location of the crack, connecting the bisections of the beam. The beam is assumed to be simply supported and subject to a uniform heat flux along the top surface of the beam. For the simplicity in the modeling, it is assumed that the bottom surface of the beam is insulated. The crack is also assumed to be non-breathing during the deformation of the beam. The change in the temperature will alter the modulus of elasticity of the beam and will also cause thermal moments inside the beam which will add terms in both the equation of motion and the boundary conditions of the vibrating beam. First, the effect of temperature on the modulus of elasticity of the beam is studied analytically for different boundary conditions of the beam ends. These modeling results are then compared to the experimental ones. Second, the effect of temperature variation is analytically modeled into the equation of motion of the beam and the boundary conditions. Having the equation of motion of the vibrating beam, the effect of temperature on the frequency response of the beam having a single fatigue crack is studied. Taking into account the effect of temperature on the resonance frequency of the beam will be essential in distinguishing the two effects of damage presence and temperature variation and will be important in quantifying the smallest detectable crack in a structure.


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