1
|
Poudrel AS, Gattin M, Rosi G, Rébillat M, Peixinho J, Bochud N, Margerit P. Identification of viscoelastic material properties by ultrasonic angular measurements in double through-transmission. THE JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA 2024; 156:463-474. [PMID: 39013040 DOI: 10.1121/10.0026518] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/07/2024] [Accepted: 06/18/2024] [Indexed: 07/18/2024]
Abstract
Recent advances in additive manufacturing (AM) of viscoelastic materials have paved the way toward the design of increasingly complex structures. In particular, emerging biomedical applications in acoustics involve structures with periodic micro-architectures, which require a precise knowledge of longitudinal and transverse bulk properties of the constituent materials. However, the identification of the transverse properties of highly soft and attenuating materials remains particularly challenging. Thereby, the present work provides a methodological framework to identify the frequency-dependent ultrasound characteristics (i.e., phase velocity and attenuation) of viscoelastic materials. The proposed approach relies on an inverse procedure based on angular measurements achieved in double through-transmission, referred as θ-scan. Toward this goal, a forward modeling of the double transmitted waves through a homogeneous solid is proposed for any incidence angle based on the global matrix formalism. The experimental validation is conducted by performing ultrasound measurements on two types of photopolymers that are commonly employed for AM purposes: a soft elastomer (ElasticoTM Black) and a glassy polymer (VeroUltraTM White). As a result, the inferred dispersive ultrasound characteristics are of interest for the computational calibration and validation of models involving complex multi-material structures in the MHz regime.
Collapse
Affiliation(s)
- Anne-Sophie Poudrel
- Laboratoire Procédés et Ingénierie en Mécanique et Matériaux, PIMM, Arts et Métiers ParisTech, UMR 8006, CNRS, CNAM, HESAM université, 151 boulevard de l'hôpital, 75013 Paris, France
| | - Max Gattin
- Univ Paris Est Creteil, Univ Gustave Eiffel, CNRS, UMR 8208, MSME, F-94010 Créteil, France
| | - Giuseppe Rosi
- Univ Paris Est Creteil, Univ Gustave Eiffel, CNRS, UMR 8208, MSME, F-94010 Créteil, France
| | - Marc Rébillat
- Laboratoire Procédés et Ingénierie en Mécanique et Matériaux, PIMM, Arts et Métiers ParisTech, UMR 8006, CNRS, CNAM, HESAM université, 151 boulevard de l'hôpital, 75013 Paris, France
| | - Jorge Peixinho
- Laboratoire Procédés et Ingénierie en Mécanique et Matériaux, PIMM, Arts et Métiers ParisTech, UMR 8006, CNRS, CNAM, HESAM université, 151 boulevard de l'hôpital, 75013 Paris, France
| | - Nicolas Bochud
- Univ Paris Est Creteil, Univ Gustave Eiffel, CNRS, UMR 8208, MSME, F-94010 Créteil, France
| | - Pierre Margerit
- Laboratoire Procédés et Ingénierie en Mécanique et Matériaux, PIMM, Arts et Métiers ParisTech, UMR 8006, CNRS, CNAM, HESAM université, 151 boulevard de l'hôpital, 75013 Paris, France
| |
Collapse
|
2
|
Liang S, Treeby BE, Martin E. Review of the Low-Temperature Acoustic Properties of Water, Aqueous Solutions, Lipids, and Soft Biological Tissues. IEEE TRANSACTIONS ON ULTRASONICS, FERROELECTRICS, AND FREQUENCY CONTROL 2024; 71:607-620. [PMID: 38530713 DOI: 10.1109/tuffc.2024.3381451] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 03/28/2024]
Abstract
Existing data on the acoustic properties of low-temperature biological materials is limited and widely dispersed across fields. This makes it difficult to employ this information in the development of ultrasound applications in the medical field, such as cryosurgery and rewarming of cryopreserved tissues. In this review, the low-temperature acoustic properties of biological materials, and the measurement methods used to acquire them were collected from a range of scientific fields. The measurements were reviewed from the acoustic setup to thermal methodologies for samples preparation, temperature monitoring, and system insulation. The collected data contain the longitudinal and shear velocity, and attenuation coefficient of biological soft tissues and biologically relevant substances-water, aqueous solutions, and lipids-in the temperature range down to -50 °C and in the frequency range from 108 kHz to 25 MHz. The multiple reflection method (MRM) was found to be the preferred method for low-temperature samples, with a buffer rod inserted between the transducer and sample to avoid direct contact. Longitudinal velocity changes are observed through the phase transition zone, which is sharp in pure water, and occurs more slowly and at lower temperatures with added solutes. Lipids show longer transition zones with smaller sound velocity changes; with the longitudinal velocity changes observed during phase transition in tissues lying between these two extremes. More general conclusions on the shear velocity and attenuation coefficient at low-temperatures are restricted by the limited data. This review enhance knowledge guiding for further development of ultrasound applications in low-temperature biomedical fields, and may help to increase the precision and standardization of low-temperature acoustic property measurements.
Collapse
|
3
|
Brand F, Drese KS. Frequency-Resolved High-Frequency Broadband Measurement of Acoustic Longitudinal Waves by Laser-Based Excitation and Detection. SENSORS (BASEL, SWITZERLAND) 2024; 24:1630. [PMID: 38475166 DOI: 10.3390/s24051630] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/06/2024] [Revised: 02/27/2024] [Accepted: 02/29/2024] [Indexed: 03/14/2024]
Abstract
Optoacoustics is a metrology widely used for material characterisation. In this study, a measurement setup for the selective determination of the frequency-resolved phase velocities and attenuations of longitudinal waves over a wide frequency range (3-55 MHz) is presented. The ultrasonic waves in this setup were excited by a pulsed laser within an absorption layer in the thermoelastic regime and directed through a layer of water onto a sample. The acoustic waves were detected using a self-built adaptive interferometer with a photorefractive crystal. The instrument transmits compression waves only, is low-contact, non-destructive, and has a sample-independent excitation. The limitations of the approach were studied both by simulation and experiments to determine how the frequency range and precision can be improved. It was shown that measurements are possible for all investigated materials (silicon, silicone, aluminium, and water) and that the relative error for the phase velocity is less than 0.2%.
Collapse
Affiliation(s)
- Felix Brand
- Institute of Sensor and Actuator Technology, Coburg University of Applied Sciences and Arts, Am Hofbräuhaus 1b, 96450 Coburg, Germany
| | - Klaus Stefan Drese
- Institute of Sensor and Actuator Technology, Coburg University of Applied Sciences and Arts, Am Hofbräuhaus 1b, 96450 Coburg, Germany
| |
Collapse
|
4
|
Hosseinzadeh E, Bosques-Palomo B, Carmona-Arriaga F, Fabiani MA, Aguirre-Soto A. Fabrication of Soft Transparent Patient-Specific Vascular Models with Stereolithographic 3D printing and Thiol-Based Photopolymerizable Coatings. Macromol Rapid Commun 2024; 45:e2300611. [PMID: 38158746 DOI: 10.1002/marc.202300611] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/18/2023] [Revised: 12/03/2023] [Indexed: 01/03/2024]
Abstract
An ideal vascular phantom should be anatomically accurate, have mechanical properties as close as possible to the tissue, and be sufficiently transparent for ease of visualization. However, materials that enable the convergence of these characteristics have remained elusive. The fabrication of patient-specific vascular phantoms with high anatomical fidelity, optical transparency, and mechanical properties close to those of vascular tissue is reported. These final properties are achieved by 3D printing patient-specific vascular models with commercial elastomeric acrylic-based resins before coating them with thiol-based photopolymerizable resins. Ternary thiol-ene-acrylate chemistry is found optimal. A PETMP/allyl glycerol ether (AGE)/polyethylene glycol diacrylate (PEGDA) coating with a 30/70% AGE/PEGDA ratio applied on a flexible resin yielded elastic modulus, UTS, and elongation of 3.41 MPa, 1.76 MPa, and 63.2%, respectively, in range with the human aortic wall. The PETMP/AGE/PEGDA coating doubled the optical transmission from 40% to 80%, approaching 88% of the benchmark silicone-based elastomer. Higher transparency correlates with a decrease in surface roughness from 2000 to 90 nm after coating. Coated 3D-printed anatomical replicas are showcased for pre-procedural planning and medical training with good radio-opacity and echogenicity. Thiol-click chemistry coatings, as a surface treatment for elastomeric stereolithographic 3D-printed objects, address inherent limitations of photopolymer-based additive manufacturing.
Collapse
Affiliation(s)
- Elnaz Hosseinzadeh
- School of Engineering and Sciences, Tecnologico de Monterrey, Nuevo León, Monterrey, 64849, México
| | - Beatriz Bosques-Palomo
- School of Engineering and Sciences, Tecnologico de Monterrey, Nuevo León, Monterrey, 64849, México
| | | | - Mario Alejandro Fabiani
- School of Medicine and Health Sciences, Tecnologico de Monterrey, Nuevo León, Monterrey, 64710, México
| | - Alan Aguirre-Soto
- School of Engineering and Sciences, Tecnologico de Monterrey, Nuevo León, Monterrey, 64849, México
| |
Collapse
|
5
|
Kim J, Kasoji S, Durham PG, Dayton PA. Nanoparticle-Epoxy Composite Molding for Undeformed Acoustic Holograms With Tailored Acoustic Properties. IEEE TRANSACTIONS ON ULTRASONICS, FERROELECTRICS, AND FREQUENCY CONTROL 2023; 70:1554-1562. [PMID: 37561617 DOI: 10.1109/tuffc.2023.3303894] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 08/12/2023]
Abstract
Acoustic hologram (AH) lenses are typically produced by high-resolution 3-D printing methods, such as stereolithography (SLA) printing. However, SLA printing of thin, plate-shaped lens structures has major limitations, including vulnerability to deformation during photocuring and limited control of acoustic impedance. To overcome these limitations, we demonstrated a nanoparticle-epoxy composite (NPEC) molding technique, and we tested its feasibility for AH lens fabrication. The characterized acoustic impedance of the 22.5% NPEC was 4.64 MRayl, which is 55% higher than the clear photopolymer (2.99 MRayl) used by SLA. Simulations demonstrated that the improved pressure transmission by the higher acoustic impedance of the NPEC resulted in 21% higher pressure amplitude in the region of interest (ROI, -6-dB pressure amplitude pixels) than the photopolymer. This improvement was experimentally demonstrated after prototyping NPEC lenses through a molding process. The NPEC lens showed no significant deformation and 72% lower thickness profile errors than the photopolymer, which otherwise experienced deformed edges due to thermal bending. Beam mapping results using the NPEC lens validated the predicted improvement, demonstrating 24% increased pressure amplitude on average and 10% improved structural similarity (SSIM) with the simulated pressure pattern compared to the photopolymer lens. This method can be used for AH lens applications with improved pressure output and accurate pressure field formation.
Collapse
|
6
|
Robins TC, Cueto C, Cudeiro J, Bates O, Agudo OC, Strong G, Guasch L, Warner M, Tang MX. Dual-Probe Transcranial Full-Waveform Inversion: A Brain Phantom Feasibility Study. ULTRASOUND IN MEDICINE & BIOLOGY 2023; 49:2302-2315. [PMID: 37474432 DOI: 10.1016/j.ultrasmedbio.2023.06.001] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/05/2022] [Revised: 05/29/2023] [Accepted: 06/02/2023] [Indexed: 07/22/2023]
Abstract
OBJECTIVE Despite being a low-cost, portable and safe medical imaging technique, transcranial ultrasound imaging is not used widely in adults because of the severe degradation and distortion of signals caused by the skull. Full-waveform inversion (FWI) has recently been found to have potential as an effective method for transcranial ultrasound tomography to obtain high-quality, subwavelength-resolution acoustic models of the brain using low-frequency ultrasound data. In this study is the first demonstration of this method in recovering a high-resolution 2-D reconstruction of a brain and skull ultrasound imaging phantom using experimentally acquired data. METHODS A 2:5 scale brain phantom encased within a 3-D-printed skull-mimicking layer was created to simulate a clinical transcranial imaging target. To obtain tomographic ultrasound data on the brain and skull phantom, a tomographic ultrasound acquisition system was designed and implemented using commercially available low-frequency cardiac probes. FWI reconstructions of the brain and skull phantom were performed using the acquired tomographic data and were compared with corresponding synthetic reconstructions. This comparison was used to evaluate the feasibility of the proposed imaging system when employing different transducer array configurations. RESULTS We demonstrate the successful FWI reconstruction of the brain phantom within the skull mimic from experimentally acquired tomographic ultrasound data. To mitigate the effects of the skull-mimicking material, a reflection-matching algorithm was applied to model the morphology of the skull layer prior to performing the inversion. CONCLUSION The findings of this study provide a promising step toward the clinical use of FWI for transcranial ultrasound imaging in adults.
Collapse
Affiliation(s)
- Thomas Caradoc Robins
- Department of Bioengineering, Faculty of Engineering, Imperial College London, London, UK.
| | - Carlos Cueto
- Department of Bioengineering, Faculty of Engineering, Imperial College London, London, UK
| | - Javier Cudeiro
- Department of Earth Science and Engineering, Faculty of Engineering, Imperial College London, London, UK
| | - Oscar Bates
- Department of Bioengineering, Faculty of Engineering, Imperial College London, London, UK
| | - Oscar Calderon Agudo
- Department of Earth Science and Engineering, Faculty of Engineering, Imperial College London, London, UK
| | - George Strong
- Department of Earth Science and Engineering, Faculty of Engineering, Imperial College London, London, UK
| | - Lluis Guasch
- Department of Earth Science and Engineering, Faculty of Engineering, Imperial College London, London, UK
| | - Michael Warner
- Department of Earth Science and Engineering, Faculty of Engineering, Imperial College London, London, UK
| | - Meng-Xing Tang
- Department of Bioengineering, Faculty of Engineering, Imperial College London, London, UK
| |
Collapse
|
7
|
Gattin M, Bochud N, Rosi G, Grossman Q, Ruffoni D, Naili S. Ultrasonic bandgaps in viscoelastic 1D-periodic media: Mechanical modeling and experimental validation. ULTRASONICS 2023; 131:106951. [PMID: 36796203 DOI: 10.1016/j.ultras.2023.106951] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/28/2022] [Revised: 12/29/2022] [Accepted: 02/06/2023] [Indexed: 06/18/2023]
Abstract
Multi-material additive manufacturing is receiving increasing attention in the field of acoustics, in particular towards the design of micro-architectured periodic media used to achieve programmable ultrasonic responses. To unravel the effect of the material properties and spatial arrangement of the printed constituents, there is an unmet need in developing wave propagation models for prediction and optimization purposes. In this study, we propose to investigate the transmission of longitudinal ultrasound waves through 1D-periodic biphasic media, whose constituent materials are viscoelastic. To this end, Bloch-Floquet analysis is applied in the frame of viscoelasticity, with the aim of disentangling the relative contributions of viscoelasticity and periodicity on ultrasound signatures, such as dispersion, attenuation, and bandgaps localization. The impact of the finite size nature of these structures is then assessed by using a modeling approach based on the transfer matrix formalism. Finally, the modeling outcomes, i.e., frequency-dependent phase velocity and attenuation, are confronted with experiments conducted on 3D-printed samples, which exhibit a 1D periodicity at length-scales of a few hundreds of micrometers. Altogether, the obtained results shed light on the modeling characteristics to be considered when predicting the complex acoustic behavior of periodic media in the ultrasonic regime.
Collapse
Affiliation(s)
- Max Gattin
- Univ Paris Est Creteil, Univ Gustave Eiffel, CNRS, UMR 8208, MSME, F-94010, Créteil, France
| | - Nicolas Bochud
- Univ Paris Est Creteil, Univ Gustave Eiffel, CNRS, UMR 8208, MSME, F-94010, Créteil, France.
| | - Giuseppe Rosi
- Univ Paris Est Creteil, Univ Gustave Eiffel, CNRS, UMR 8208, MSME, F-94010, Créteil, France
| | - Quentin Grossman
- Mechanics of Biological and Bioinspired Materials Laboratory, Department of Aerospace and Mechanical Engineering, University of Liège, Quartier Polytech 1, Allée de la Découverte, B-4000 Liège, Belgium
| | - Davide Ruffoni
- Mechanics of Biological and Bioinspired Materials Laboratory, Department of Aerospace and Mechanical Engineering, University of Liège, Quartier Polytech 1, Allée de la Découverte, B-4000 Liège, Belgium
| | - Salah Naili
- Univ Paris Est Creteil, Univ Gustave Eiffel, CNRS, UMR 8208, MSME, F-94010, Créteil, France
| |
Collapse
|
8
|
Gattin M, Bochud N, Rosi G, Grossman Q, Ruffoni D, Naili S. Ultrasound characterization of the viscoelastic properties of additively manufactured photopolymer materials. THE JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA 2022; 152:1901. [PMID: 36182322 DOI: 10.1121/10.0014180] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/13/2022] [Accepted: 09/02/2022] [Indexed: 06/16/2023]
Abstract
Photopolymer-based additive manufacturing has received increasing attention in the field of acoustics over the past decade, specifically towards the design of tissue-mimicking phantoms and passive components for ultrasound imaging and therapy. While these applications rely on an accurate characterization of the longitudinal bulk properties of the materials, emerging applications involving periodic micro-architectured media also require the knowledge of the transverse bulk properties to achieve the desired acoustic behavior. However, a robust knowledge of these properties is still lacking for such attenuating materials. Here, we report on the longitudinal and transverse bulk properties, i.e., frequency-dependent phase velocities and attenuations, of photopolymer materials, which were characterized in the MHz regime using a double through-transmission method in oblique incidence. Samples were fabricated using two different printing technologies (stereolithography and polyjet) to assess the impact of two important factors of the manufacturing process: curing and material mixing. Overall, the experimentally observed dispersion and attenuation could be satisfactorily modeled using a power law attenuation to identify a reduced number of intrinsic ultrasound parameters. As a result, these parameters, and especially those reflecting transverse bulk properties, were shown to be very sensitive to slight variations of the manufacturing process.
Collapse
Affiliation(s)
- Max Gattin
- Univ Paris Est Creteil, Univ Gustave Eiffel, CNRS, UMR 8208, MSME, F-94010 Créteil, France
| | - Nicolas Bochud
- Univ Paris Est Creteil, Univ Gustave Eiffel, CNRS, UMR 8208, MSME, F-94010 Créteil, France
| | - Giuseppe Rosi
- Univ Paris Est Creteil, Univ Gustave Eiffel, CNRS, UMR 8208, MSME, F-94010 Créteil, France
| | - Quentin Grossman
- Mechanics of Biological and Bioinspired Materials Laboratory, Department of Aerospace and Mechanical Engineering, University of Liège, Quartier Polytech 1, Allée de la Découverte 9, B-4000 Liège, Belgium
| | - Davide Ruffoni
- Mechanics of Biological and Bioinspired Materials Laboratory, Department of Aerospace and Mechanical Engineering, University of Liège, Quartier Polytech 1, Allée de la Découverte 9, B-4000 Liège, Belgium
| | - Salah Naili
- Univ Paris Est Creteil, Univ Gustave Eiffel, CNRS, UMR 8208, MSME, F-94010 Créteil, France
| |
Collapse
|
9
|
Aghaei A, Bochud N, Rosi G, Grossman Q, Ruffoni D, Naili S. Ultrasound characterization of bioinspired functionally graded soft-to-hard composites: Experiment and modeling. THE JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA 2022; 151:1490. [PMID: 35364905 DOI: 10.1121/10.0009630] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/06/2021] [Accepted: 02/04/2022] [Indexed: 06/14/2023]
Abstract
Functional grading is a distinctive feature adopted by nature to improve the transition between tissues that present a strong mismatch in mechanical properties, a relevant example being the tendon-to-bone attachment. Recent progress in multi-material additive manufacturing now allows for the design and fabrication of bioinspired functionally graded soft-to-hard composites. Nevertheless, this emerging technology depends on several design variables, including both material and mechanistic ingredients, that are likely to affect the mechanical performance of such composites. In this paper, a model-based approach is developed to describe the interaction of ultrasound waves with homogeneous and heterogeneous additively manufactured samples, which respectively display a variation either of the material ingredients (e.g., ratio of the elementary constituents) or of their spatial arrangement (e.g., functional gradients, damage). Measurements are performed using longitudinal bulk waves, which are launched and detected using a linear transducer array. First, model is calibrated by exploiting the signals measured on the homogeneous samples, which allow identifying relationships between the model parameters and the material composition. Second, the model is validated by comparing the signals measured on the heterogeneous samples with those predicted numerically. Overall, the reported results pave the way for characterizing and optimizing multi-material systems that display complex bioinspired features.
Collapse
Affiliation(s)
- Ali Aghaei
- Univ Paris Est Creteil, Univ Gustave Eiffel, CNRS, UMR 8208, MSME, F-94010 Créteil, France
| | - Nicolas Bochud
- Univ Paris Est Creteil, Univ Gustave Eiffel, CNRS, UMR 8208, MSME, F-94010 Créteil, France
| | - Giuseppe Rosi
- Univ Paris Est Creteil, Univ Gustave Eiffel, CNRS, UMR 8208, MSME, F-94010 Créteil, France
| | - Quentin Grossman
- Mechanics of Biological and Bioinspired Materials Laboratory, Department of Aerospace and Mechanical Engineering, University of Liège, Quartier Polytech 1, Allée de la Découverte 9, B-4000 Liège, Belgium
| | - Davide Ruffoni
- Mechanics of Biological and Bioinspired Materials Laboratory, Department of Aerospace and Mechanical Engineering, University of Liège, Quartier Polytech 1, Allée de la Découverte 9, B-4000 Liège, Belgium
| | - Salah Naili
- Univ Paris Est Creteil, Univ Gustave Eiffel, CNRS, UMR 8208, MSME, F-94010 Créteil, France
| |
Collapse
|
10
|
Naify CJ, Matlack KH, Haberman MR. Introduction to the special issue on Additive Manufacturing and Acoustics. THE JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA 2022; 151:387. [PMID: 35105027 DOI: 10.1121/10.0009281] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/22/2021] [Accepted: 12/24/2021] [Indexed: 06/14/2023]
Abstract
Additive manufacturing (AM) has expanded to a wide range of applications over the last few years, and acoustic applications are no exception. This article is an introduction to the special issue of the Journal of the Acoustical Society of America on AM and acoustics. To provide background to the reader, a brief introduction to the manufacturing approach of AM is included. The ways in which the articles in this special issue advance the field of acoustics are described for a range of applications.
Collapse
Affiliation(s)
- Christina J Naify
- The Applied Research Laboratories, University of Texas, Austin, Austin, Texas 78758, USA
| | - Kathryn H Matlack
- Department of Mechanical Science and Engineering, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801, USA
| | - Michael R Haberman
- Walker Department of Mechanical Engineering and Applied Research Laboratories, The University of Texas at Austin, Austin, Texas 78712, USA
| |
Collapse
|