Research

Civil Applications

Wind energy has become a prominent source of renewable power generation in recent years, and the rapidly decreasing cost of producing and operating industrial-scale wind turbines has made wind energy extremely competitive with other methods of power generation. Despite significant increases in installed wind capacity, recent catastrophic failures have driven a need for improved reliability of wind turbine blades. One relevant application where the advantages of parametric design and IGA can be applied is the analysis of ice accretion, which has been a long-standing issue for wind turbines that operate in cold climates. To accommodate the challenges of modeling complex ice formation on turbine blades, a flexible projection-based approach was proposed to simulate this type of ice accumulation by superimposing the complex ice shape onto the blade geometry without altering the underlying CAD model [1.1]. This method allows for systematic parametric modeling of the icing shape and distributions and incorporates high-fidelity IGA approaches [1.2] to directly model the impact of different ice configurations and identify the significant structural impact of ice accretion.

Related Publications

[1.1] E.L. Johnson*, M.-C. Hsu. “Isogeometric analysis of ice accretion on wind turbine blades”. Computational Mechanics, 66 (2020): 311–322.

[1.2] A.J. Herrema**, E.L. Johnson**, D. Proserpio**, M.C.H. Wu, J. Kiendl, M.-C. Hsu*. “Penalty coupling of non-matching isogeometric Kirchhoff–Love shell patches with application to composite wind turbine blades.” Computer Methods in Applied Mechanics and Engineering, 346 (2019): 810–840.

Aerospace Applications

An application that demonstrates the numerous detriments of the current process for design-to-analysis is related to unexpected tail buffeting of aircraft stabilizers due to flow disruptions, which has been identified as a critical issue in military aircraft that are outfitted for different types of missions. Under these conditions, the internal structure of the stabilizer offers critical support to ensure that the structure will not fail unexpectedly from increased fatigue due to buffeting. These types of structures that operate under varying conditions are extremely challenging to design and model using traditional methods that do not include a systematic, mission-specific approach. For this application, the internal structures in the horizontal stabilizer of a P-8A aircraft are parameterized to provide an efficient approach for achieving cost- or performance-based optimization to update or modify the structures to appropriately support new configurations or operating conditions. The patch coupling approaches [2.1] that are used to couple the ribs and spars in the stabilizer can also be applied to the analysis of many other types of airframe structures, including multipatch airframe components in a UH-60 Black Hawk helicopter.

Related Publications

[2.1] A.J. Herrema**, E.L. Johnson**, D. Proserpio**, M.C.H. Wu, J. Kiendl, M.-C. Hsu*. “Penalty coupling of non-matching isogeometric Kirchhoff–Love shell patches with application to composite wind turbine blades.” Computer Methods in Applied Mechanics and Engineering, 346 (2019): 810–840.

Biomedical Applications

For many patients with valvular heart diseases, bioprosthetic heart valves are critical structures that support the treatment of vital components in the cardiac system. Despite their important role in cardiac function for patients who have undergone heart valve replacements procedures, these valves that have faced numerous challenges related to design and durability in recent years. The effectiveness of using an approach that incorporates parametric design and IGA for valvular applications is clearly demonstrated by the modeling and analysis of the tricuspid valve (TV), which involves a geometric description of the complex primary structures of the TV [3.1,3.2]. This work has addressed the significant computational challenges of simulating the TV through a parametric model definition and analysis methods that capture the full structural deformation of the valve closure observed from medical data. The advantages of parametric IGA also support significant future advancements in identifying potential design or durability issues in bioprosthetic aortic heart valves in the cardiac system. Incorporating computational fluid–structure interaction based on immersogeometric analysis, the initiation of leaflet flutter was identified and quantified in thinner bioprosthetic aortic valve tissues [3.3]. This work highlighted that using thinner tissues in bioprosthetic implants may impact critical valve performance issues, such as leaflet flutter, that can reduce the reliability and safety of these devices.

Related Publications

[3.1] D.W. Laurence, E.L. Johnson, M.‐C. Hsu, R. Baumwart, A. Mir, H.M. Burkhart, G.A. Holzapfel, Y. Wu, and C.‐H. Lee*. "A pilot in‐silico modeling‐based study of the pathological effects on the biomechanical function of tricuspid valves." International Journal for Numerical Methods in Biomedical Engineering, 36 (2020): e3346.

[3.2] C.-H. Lee*, D.W. Laurence, C.J. Ross, K.E Kramer, A.R. Babu, E.L. Johnson, M.-C. Hsu, A. Aggarwal, A. Mir, H.M. Burkhart, R.A. Towner, R. Baumwart, Y. Wu. “Mechanics of the tricuspid valve—from clinical diagnosis/treatment, in vivo and in vitro investigations, to patient-specific biomechanical modeling.” Bioengineering, 6 (2019): 47.

[3.3] E.L. Johnson, M.C.H. Wu**, F. Xu**, N.M. Wiese, M.R. Rajanna, A.J. Herrema, B. Ganapathysubramanian, T.J.R. Hughes*, M.S. Sacks*, M.-C. Hsu*. “Thinner biological tissues induce leaflet flutter in aortic heart valve replacements.” Proceedings of the National Academy of Sciences, 117 (2020): 19007–19016.

Leaflet flutter in bioprosthetic aortic heart valves (PNAS Flutter Movies)