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International Journal of AI for
            Materials and Design
                                                                            Review of gas turbine blade failures by erosion



            Table 10. Influence of coating porosity on erosion resistance
            Porosity        Coating         Erosion resistance      Failure mode            Key observations
            level (%)      material
            <10%          Dense ceramic   Very high: minimal      Micro-cracking and   Effective at high temperatures but
                          coatings        particle penetration    delamination        prone to brittleness
            10 – 15%      YSZ             Moderate: balances      Surface pitting and   Optimal balance for TBC
                                          insulation and toughness.  spalling         performance 57
            >15%          Porous ceramic   Low: High particle ingress   Accelerated erosion   High porosity reduces mechanical
                          coatings        and reduced strength    and chipping        integrity 58
            Abbreviations: TBC: Thermal barrier coating; YSZ: Yttria-stabilized zirconia.

            rate and the impact of particle collisions on the material   n and  m are exponents typically determined through
            surface is essential. 69,70  Here, we consider models such as   experimentation.
            Finnie’s erosion rate equation shown by Equation I, as well   In gas turbines, particles with larger diameters and
            as more advanced particle impact models derived from   higher velocities cause greater erosion, while materials
            fluid dynamics. Finnie’s equation provides a basic model   with higher hardness (e.g., superalloys or coated surfaces)
            for estimating the erosion rate of a material based on   exhibit better erosion resistance.
            particle velocity and impact angle. The erosion rate “E” is
            expressed, as shown in Equation I.                 3.2. Material degradation and fatigue theory

                     2
                  ρ v                                        The second theoretical pillar explores how erosion-induced
                           θ
                         2
            EC=   p   sin ()                          (I)    material degradation leads to fatigue failure in gas turbine
                  2  
                                                             blades.  While the previous pillar focused on how particles
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                                                               cause surface damage, this section focuses on how that
              where  E is the erosion rate (material loss per unit
            area);  C is a constant dependent on material properties   damage propagates into more severe material failures over
                                                               time, considering both mechanical and thermal stressors.
            and particle characteristics; ρ  is the particle density; v is
                                    p
            the velocity of the impacting particle; and θ is the angle of   Material  fatigue  refers  to  the  progressive  weakening  of
            impact of the particle.                            a material  due to  repeated stress cycles, which eventually
              This model shows that impact angle plays a       leads to crack formation and structural failure. Alqallaf and
                                                                     74
            significant role in erosion severity, with steep angles   Teixeira  demonstrated that in gas turbine blades, erosion
            (close to 90 degrees) causing the highest erosion due to   not only causes surface damage but also accelerates fatigue by
            maximal energy transfer.  The sin  (θ) term captures the   creating stress concentrators – localized areas where stress is
                                        2
                                71
            influence of angle on erosion. Once particle impacts are   intensified due to surface irregularities such as pits, scratches,
            determined, empirical models such as Finnie’s erosion   and micro-cracks. These stress concentrators initiate cracks
            rate equation or more complex erosion models 48,49  are   that grow over time, ultimately leading to catastrophic failure
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            used to calculate the erosion rate at each impact site. For   of the blade. The Paris–Erdogan law  is frequently used to
            instance, Finnie’s equation given by Equation I provides   model crack growth, which relates the crack propagation rate
            a direct method for estimating material removal due to   to the applied stress intensity. Fatigue failure theory helps
            each particle impact.                              in predicting how long a turbine blade can operate under
                                                               erosive conditions before failure is likely to occur.
              In more complex models, the erosion rate is also a
            function of particle size and material hardness. For example,   In high-temperature environments, turbine blades
            Anand and Parammasivam  developed an empirical     experience creep, a slow, time-dependent deformation
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            model that accounts for particle size “d,” hardness “H,” and   that occurs when materials are exposed to constant stress
            velocity “v,” as given by Equation 2.              at elevated temperatures. Erosion exacerbates creep by
                                                               thinning the blade material, reducing its ability to resist the
                  n
                 vd⋅  m                                        mechanical stresses that it experiences during operation.
            W = k                                      (II)                   76
                   H                                           Rajabinezhad et al.  highlighted that as erosion removes
                                                               protective coatings and material from the surface, it
              where  E  is  the  erosion  rate;  k  is  an  empirically   exposes deeper layers to higher temperatures, accelerating
            determined constant;  v is the particle velocity;  d is the   creep deformation. This leads to reduced load-bearing
            particle diameter; H is the hardness of the material; and   capacity and increases the likelihood of blade rupture.


            Volume 1 Issue 3 (2024)                         75                             doi: 10.36922/ijamd.5188
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