# Wilkins Aquino

## Thomas Lord Department of Mechanical Engineering and Materials Science

Professor in the Thomas Lord Department of Mechanical Engineering and Materials Science

### Research Interests

Computational mechanics, finite element methods, computational inverse problems and their applications in engineering and biomedicine, scientific computing, computational acoustics and acoustics-structure interaction, coupled chemo-mechanics (e.g., electrochemistry-mechanics).

### Bio

Wilkins Aquino obtained a BSCE from Purdue University, and a MS and PhD in Civil Engineering from the University of Illinois at Urbana-Champaign. Before joining the Duke Faculty, he was an associate professor in the School of Civil and Environmental Engineering at Cornell University. He was also a member of the fields of Theoretical and Applied Mechanics and Applied Mathematics at Cornell.nnProf. Aquino has broad interests in computational mechanics, including finite element methods, computational inverse problems, uncertainty quantification, coupled chemo-mechanics, and computational acoustics, among others.

### Education

- Ph.D. University of Illinois, Urbana-Champaign, 2002

### Positions

- Professor in the Thomas Lord Department of Mechanical Engineering and Materials Science
- Professor in the Department of Civil and Environmental Engineering
- Professor in Head & Neck Surgery & Communication Sciences
- Professor of Mathematics

### Awards, Honors, and Distinctions

- Faculty Early Career Development (CAREER) Program. National Science Foundation. 2012
- Faculty Early Career Development (CAREER) Program. National Science Foundation. 2007

### Courses Taught

- ME 591: Research Independent Study in Mechanical Engineering or Material Science
- ME 555: Advanced Topics in Mechanical Engineering
- ME 491: Special Projects in Mechanical Engineering
- ME 490: Special Topics in Mechanical Engineering
- EGR 393: Research Projects in Engineering

### Publications

- Zhao Y, Parlak Z, Yu W, French D, Aquino W, Zauscher S. Microfluidic QCM enables ultrahigh Q-factor: a new paradigm for in-liquid gravimetric sensing. Microsystems & nanoengineering. 2024 Aug;10(1):116.
- Aquino W, Desmond J, Eldred M, Kurzawski A, McCormick C, Sanders C, et al. Assessing decision boundaries under uncertainty. Structural and Multidisciplinary Optimization. 2024 Jul 1;67(7).
- Aquino W, Rouse J, Bonnet M. Active design of diffuse acoustic fields in enclosures. The Journal of the Acoustical Society of America. 2024 Feb;155(2):1297–307.
- Baek Y, Aquino W, Mukherjee S. Generalized Bayes approach to inverse problems with model misspecification. Inverse problems. 2023 Oct;39(10):105011.
- Zou Z, Kouri DP, Aquino W. A Locally Adapted Reduced-Basis Method for Solving Risk-Averse PDE-Constrained Optimization Problems. SIAM-ASA Journal on Uncertainty Quantification. 2022 Dec 1;10(4):1629–51.
- Chen MJ, Sivakumar K, Banyay GA, Golchert BM, Walsh TF, Zavlanos MM, et al. Bayesian Optimal Sensor Placement for Damage Detection in Frequency-Domain Dynamics. Journal of Engineering Mechanics. 2022 Dec 1;148(12).
- Treweek BC, Sanders CM, Aquino W, Walsh TF. Optimization of Acoustic Channels to Minimize Scattered Pressure Fields. Journal of Theoretical and Computational Acoustics. 2022 Sep 1;30(3).
- Capriotti M, Roy T, Hugenberg NR, Harrigan H, Lee H-C, Aquino W, et al. The influence of acoustic radiation force beam shape and location on wave spectral content for arterial dispersion ultrasound vibrometry. Physics in medicine and biology. 2022 Jun;67(13).
- Hobbs KT, Choe N, Aksenov LI, Reyes L, Aquino W, Routh JC, et al. Machine Learning for Urodynamic Detection of Detrusor Overactivity. Urology. 2022 Jan;159:247–54.
- Sanders C, Bonnet M, Aquino W. An adaptive eigenfunction basis strategy to reduce design dimension in topology optimization. International Journal for Numerical Methods in Engineering. 2021 Dec 30;122(24):7452–81.
- Hugenberg NR, Roy T, Harrigan H, Capriotti M, Lee H-K, Guddati M, et al. Toward improved accuracy in shear wave elastography of arteries through controlling the arterial response to ultrasound perturbation in-silico and in phantoms. Physics in medicine and biology. 2021 Nov;66(23).
- Khodayi-Mehr R, Urban MW, Zavlanos MM, Aquino W. Plane wave elastography: a frequency-domain ultrasound shear wave elastography approach. Physics in medicine and biology. 2021 Jun;66(12).
- Bunting G, Miller ST, Walsh TF, Dohrmann CR, Aquino W. Novel strategies for modal-based structural material identification. Mechanical Systems and Signal Processing. 2021 Feb 15;149.
- Sanders C, Norato J, Walsh T, Aquino W. An error-in-constitutive equations strategy for topology optimization for frequency-domain dynamics. Computer Methods in Applied Mechanics and Engineering. 2020 Dec 1;372.
- Chen MJ, Aquino W, Walsh TF, Reu PL, Johnson KL, Rouse JW, et al. A Generalized Stress Inversion Approach with Application to Residual Stress Estimation. Journal of Applied Mechanics, Transactions ASME. 2020 Nov 1;87(11).
- Ghavami S, Babaniyi O, Adabi S, Rosen D, Alizad A, Aquino W, et al. Ultrasound elastography using a regularized modified error in constitutive equations (MECE) approach: a comprehensive phantom study. Physics in medicine and biology. 2020 Nov;65(22):225026.
- Calkins L, Khodayi-Mehr R, Aquino W, Zavlanos MM. Sensor Planning for Model-Based Acoustic Source Identification. In: Proceedings of the American Control Conference. 2020. p. 2679–84.
- Khodayi-Mehr R, Aquino W, Zavlanos MM. Model-Based Active Source Identification in Complex Environments. IEEE Transactions on Robotics. 2019 Jun 1;35(3):633–52.
- Aquino W, Bunting G, Miller ST, Walsh TF. A gradient-based optimization approach for the detection of partially connected surfaces using vibration tests. Computer Methods in Applied Mechanics and Engineering. 2019 Mar 1;345:323–35.
- Zou Z, Kouri D, Aquino W. An adaptive local reduced basis method for solving PDEs with uncertain inputs and evaluating risk. Computer Methods in Applied Mechanics and Engineering. 2019 Mar 1;345:302–22.
- Aquino W, Bonnet M. Analysis of the error in constitutive equation approach for time-harmonic elasticity imaging. SIAM Journal on Applied Mathematics. 2019 Jan 1;79(3):822–49.
- Fronk M, Eschen K, Starkey K, Kuether RJ, Brink A, Walsh T, et al. Inverse methods for characterization of contact areas in mechanical systems. In: Conference Proceedings of the Society for Experimental Mechanics Series. 2019. p. 45–56.
- Khodayi-Mehr R, Aquino W, Zavlanos MM. Distributed Reduced Order Source Identification. In: Proceedings of the American Control Conference. 2018. p. 1084–9.
- Calkins L, Khodayi-Mehr R, Aquino W, Zavlanos MM. Physics-Based Acoustic Source Identification. In: Proceedings of the IEEE Conference on Decision and Control. 2018. p. 1457–62.
- Sanders C, Aquino W, Walsh T. Design of continuously graded elastic acoustic cloaks. The Journal of the Acoustical Society of America. 2018 Jan;143(1):EL31.
- Zou Z, Kouri D, Aquino W. A locally adapted reduced basis method for solving risk-averse pde-constrained optimization problems. In: AIAA Non-Deterministic Approaches Conference, 2018. 2018.
- Urban M, Guddati M, Aquino W, Greenleaf J. Notice of Removal: Measurement of carotid artery viscoelasticity in young and older individuals using acoustic radiation force-induced waves and Fourier analysis. In: IEEE International Ultrasonics Symposium, IUS. 2017.
- Ghosh S, Zou Z, Babaniyi O, Aquino W, Diaz MI, Bayat M, et al. Modified error in constitutive equations (MECE) approach for ultrasound elastography. The Journal of the Acoustical Society of America. 2017 Oct;142(4):2084.
- Astaneh AV, Urban MW, Aquino W, Greenleaf JF, Guddati MN. Arterial waveguide model for shear wave elastography: implementation and in vitro validation. Physics in medicine and biology. 2017 Jul;62(13):5473–94.
- Calkins L, Khodayi-Mehr R, Aquino W, Zavlanos M. Stochastic model-based source identification. In: 2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017. 2017. p. 1272–7.
- Zou Z, Aquino W, Harari I. Nitsche's Method For Helmholtz Problems with Embedded Interfaces. International journal for numerical methods in engineering. 2017 May;110(7):618–36.
- Zou Z, Kouri D, Aquino W. An adaptive sampling approach for solving PDEs with uncertain inputs and evaluating risk. In: 19th AIAA Non-Deterministic Approaches Conference, 2017. 2017.
- Zou Z, Kouri D, Aquino W. An adaptive sampling approach for solving PDEs with uncertain inputs and evaluating risk. In: 19th AIAA Non-Deterministic Approaches Conference, 2017. 2017.
- Urban MW, Astaneh AV, Aquino W, Greenleaf JF, Guddati MN. Measured wave dispersion in tubes excited with acoustic radiation force matches theoretical guided wave dispersion. In: IEEE International Ultrasonics Symposium, IUS. 2016.
- Contreras AA, Le Maître OP, Aquino W, Knio OM. Multi-model polynomial chaos surrogate dictionary for Bayesian inference in elasticity problems. Probabilistic Engineering Mechanics. 2016 Oct 1;46:107–19.
- Khodayi-Mehr R, Aquino W, Zavlanos MM. Nonlinear reduced order source identification. In: Proceedings of the American Control Conference. 2016. p. 6302–7.
- Diaz MI, Aquino W, Bonnet M. A Modified Error in Constitutive Equation Approach for Frequency-Domain Viscoelasticity Imaging Using Interior Data. Computer methods in applied mechanics and engineering. 2015 Nov;296:129–49.
- Khodayi-Mehr R, Aquino W, Zavlanos MM. Model-based sparse source identification. In: Proceedings of the American Control Conference. 2015. p. 1818–23.
- Dutta P, Urban MW, Le Maître OP, Greenleaf JF, Aquino W. Simultaneous identification of elastic properties, thickness, and diameter of arteries excited with ultrasound radiation force. Physics in medicine and biology. 2015 Jul;60(13):5279–96.
- Warner JE, Aquino W, Grigoriu MD. Stochastic reduced order models for inverse problems under uncertainty. Computer methods in applied mechanics and engineering. 2015 Mar;285:488–514.
- Bonnet M, Aquino W. Three-dimensional transient elastodynamic inversion using an error in constitutive relation functional. Inverse Problems. 2015 Mar 1;31(3).
- Warner JE, Diaz MI, Aquino W, Bonnet M. Inverse Material Identification in Coupled Acoustic-Structure Interaction using a Modified Error in Constitutive Equation Functional. Computational mechanics. 2014 Sep;54(3):645–59.
- De Frías GJ, Aquino W, Pierson KH, Heinstein MW, Spencer BW. A multiscale mass scaling approach for explicit time integration using proper orthogonal decomposition. International Journal for Numerical Methods in Engineering. 2014 Mar 16;97(11):799–818.
- Sarkar S, Warner JE, Aquino W, Grigoriu MD. Stochastic reduced order models for uncertainty quantification of intergranular corrosion rates. Corrosion Science. 2014 Mar 1;80:257–68.
- Bonnet M, Aquino W. Three-dimensional transient elastodynamic inversion using the modified error in constitutive relation. In: Journal of Physics: Conference Series. 2014.
- Sarkar S, Aquino W. Changes in electrodic reaction rates due to elastic stress and stress-induced surface patterns. Electrochimica Acta. 2013 Sep 23;111:814–22.
- Sabelli A, Aquino W. A source sensitivity approach for source localization in steady-state linear systems. Inverse Problems. 2013 Sep 1;29(9).
- Sarkar S, Warner JE, Aquino W, Grigoriu MD. Stochastic reduced order models for uncertainty quantification of intergranular corrosion rates. Corrosion Science. 2013;
- Warner JE, Grigoriu M, Aquino W. Stochastic reduced order models for random vectors: Application to random eigenvalue problems. Probabilistic Engineering Mechanics. 2013 Jan 1;31:1–11.
- Banerjee B, Walsh TF, Aquino W, Bonnet M. Large Scale Parameter Estimation Problems in Frequency-Domain Elastodynamics Using an Error in Constitutive Equation Functional. Computer methods in applied mechanics and engineering. 2013 Jan;253:60–72.
- Sarkar S, Warner JE, Aquino W. A numerical framework for the modeling of corrosive dissolution. Corrosion Science. 2012 Dec 1;65:502–11.
- Urban M, Alizad A, Aquino W, Greenleaf J, Fatemi M. A review of vibro-acoustography and its applications in medicine. Current Medical Imaging Reviews. 2011 Nov 1;7(4):350–9.
- Sarkar S, Aquino W. Electroneutrality and ionic interactions in the modeling of mass transport in dilute electrochemical systems. Electrochimica Acta. 2011 Oct 1;56(24):8969–78.
- Bernal M, Urban MW, Rosario D, Aquino W, Greenleaf JF. Measurement of biaxial mechanical properties of soft tubes and arteries using piezoelectric elements and sonometry. Physics in medicine and biology. 2011 Jun;56(11):3371–86.
- Brigham JC, Aquino W, Aguilo MA, Diamessis PJ. A spectral finite element approach to modeling soft solids excited with high-frequency harmonic loads. Computer Methods in Applied Mechanics and Engineering. 2011 Jan 15;200(5–8):692–8.
- Walsh TF, Aquino W, Bonnet M. Inverse identification of viscoelastic material properties using an error in constitutive equations approach. In: Proceedings of the 8th International Conference on Structural Dynamics, EURODYN 2011. 2011. p. 2564–8.
- Aguiló MA, Aquino W, Brigham JC, Fatemi M. An inverse problem approach for elasticity imaging through vibroacoustics. IEEE transactions on medical imaging. 2010 Apr;29(4):1012–21.
- Chen S, Aquino W, Alizad A, Urban MW, Kinnick R, Greenleaf JF, et al. Thermal safety of vibro-acoustography using a confocal transducer. Ultrasound in medicine & biology. 2010 Feb;36(2):343–9.
- Aguilo MA, Aquino W, Brigham JC, Fatemi M. Erratum: An inverse problem approach for elasticity imaging through vibroacoustics (IEEE Transactions on Medical Imaging (2010) 29:4 (1012-1021)). IEEE Transactions on Medical Imaging. 2010 Jan 1;29(6):1331.
- Hochhalter JD, Glaessgen EH, Ingraffea AR, Aquino WA. A method for combining experimentation and molecular dynamics simulation to improve cohesive zone models for metallic microstructures. 12th International Conference on Fracture 2009, ICF-12. 2009 Dec 1;6:4590–8.
- Aquino W, Brigham JC, Earls CJ, Sukumar N. Generalized finite element method using proper orthogonal decomposition. International Journal for Numerical Methods in Engineering. 2009 Aug 13;79(7):887–906.
- Brigham JC, Aquino W. Inverse viscoelastic material characterization using POD reduced-order modeling in acoustic-structure interaction. Computer Methods in Applied Mechanics and Engineering. 2009 Feb 15;198(9–12):893–903.
- Sarkar S, Aquino W. A computational framework to model damage due to corrosion in aluminum alloys. Structural Health Monitoring 2009: From System Integration to Autonomous Systems - Proceedings of the 7th International Workshop on Structural Health Monitoring, IWSHM 2009. 2009 Jan 1;2:1943–50.
- Bernal M, Urban M, Rosario D, Aquino W, Greenleaf JF. Evaluation of biaxial mechanical properties of soft tubes and arteries using sonometry. Annual International Conference of the IEEE Engineering in Medicine and Biology Society IEEE Engineering in Medicine and Biology Society Annual International Conference. 2009 Jan;2009:2835–8.
- Stull CJ, Earls CJ, Aquino W. A posteriori initial imperfection identification in shell buckling problems. Computer Methods in Applied Mechanics and Engineering. 2008 Dec 1;198(2):260–8.
- Rosario DE, Brigham JC, Aquino W. Identification of material properties of orthotropic elastic cylinders immersed in fluid using vibroacoustic techniques. Ultrasonics. 2008 Nov;48(6–7):547–52.
- Kouchmeshky B, Aquino W, Billek AE. Structural damage identification using co-evolution and frequency response functions. Structural Control and Health Monitoring. 2008 Mar 1;15(2):162–82.
- Phillips SW, Aquino W, Chirdon WM. Simultaneous inverse identification of transient thermal properties and heat sources using sparse sensor information. JOURNAL OF ENGINEERING MECHANICS-ASCE. 2007 Dec;133(12):1341–51.
- Brigham JC, Aquino W. Surrogate-Model Accelerated Random Search algorithm for global optimization with applications to inverse material identification. Computer Methods in Applied Mechanics and Engineering. 2007 Sep 15;196(45–48):4561–76.
- Aquino W. An object-oriented framework for reduced-order models using proper orthogonal decomposition (POD). Computer Methods in Applied Mechanics and Engineering. 2007 Sep 1;196(41–44):4375–90.
- Chirdon WM, Aquino W, Hover KC. A method for measuring transient thermal diffusivity in hydrating Portland cement mortars using an oscillating boundary temperature. Cement and Concrete Research. 2007 May 1;37(5):680–90.
- Aquino W, Hawkins NM. Seismic retrofitting of corroded reinforced concrete columns using carbon composites. ACI Structural Journal. 2007 May 1;104(3):348–56.
- Brigham JC, Aquino W, Mitri FG, Greenleaf JF, Fatemi M. Inverse estimation of viscoelastic material properties for solids immersed in fluids using vibroacoustic techniques. Journal of Applied Physics. 2007 Mar 13;101(2).
- Kouchmeshky B, Aquino W, Bongard JC, Lipson H. Co-evolutionary algorithm for structural damage identification using minimal physical testing. International Journal for Numerical Methods in Engineering. 2007 Jan 29;69(5):1085–107.
- Aquino W, Erdem I. Implementation of the modified compression field theory in a tangent stiffness-based finite element formulation. Steel and Composite Structures. 2007 Jan 1;7(4):263–78.
- Aquino W, Brigham JC. Self-learning finite elements for inverse estimation of thermal constitutive models. International Journal of Heat and Mass Transfer. 2006 Jul 1;49(15–16):2466–78.
- Aquino W, Hawkins NM, Lange DA. Moisture distribution in partially enclosed concrete. ACI Materials Journal. 2004 Jul 1;101(4):259–65.
- Scali M, Scheiner P, Aquino W, Ojdrovic R, Zarghamee M. Analysis and Performance of PCCP Mortar Coating. Proceedings of the ASCE International Conference on Pipeline Engineering and Construction: New Pipeline Technologies, Security, and Safety. 2003 Jan 1;2:972–82.
- Aquino W, Lange DA, Olek J. The influence of metakaolin and silica fume on the chemistry of alkali-silica reaction products. Cement and Concrete Composites. 2001 Dec 1;23(6):485–93.