{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T13:45:26Z","timestamp":1740145526967,"version":"3.37.3"},"reference-count":19,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2021,3,17]],"date-time":"2021-03-17T00:00:00Z","timestamp":1615939200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/deed.de"},{"start":{"date-parts":[[2021,3,17]],"date-time":"2021-03-17T00:00:00Z","timestamp":1615939200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/deed.de"}],"funder":[{"name":"Austrian Research Promotion Agency","award":["868033"],"award-info":[{"award-number":["868033"]}]},{"name":"TU Wien"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Elektrotech. Inftech."],"published-print":{"date-parts":[[2021,6]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>We present a modelling strategy based on the finite element method to describe flexible, piezoelectric structures surrounded by a compressible fluid, including viscosity. Non-conforming interfaces based on the Mortar method are used to couple the different physical domains. Finally, we present an application example of a piezoelectrically actuated MEMS structure to illustrate the modeling procedure and the impact of viscous effects.<\/jats:p>","DOI":"10.1007\/s00502-021-00875-4","type":"journal-article","created":{"date-parts":[[2021,3,17]],"date-time":"2021-03-17T09:06:18Z","timestamp":1615971978000},"page":"155-161","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Acoustics on small scales","Akustik auf kleinen L\u00e4ngenskalen: Modellierung viskoser Effekte in Mikrosystemen"],"prefix":"10.1007","volume":"138","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-4632-4436","authenticated-orcid":false,"given":"Florian","family":"Toth","sequence":"first","affiliation":[]},{"given":"Hamideh","family":"Hassanpour Guilvaiee","sequence":"additional","affiliation":[]},{"given":"Georg","family":"Jank","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2021,3,17]]},"reference":[{"key":"875_CR1","volume-title":"Fluid dynamics: theory, computation, and numerical simulation","author":"C. Pozrikidis","year":"2016","unstructured":"Pozrikidis, C. (2016): Fluid dynamics: theory, computation, and numerical simulation. Berlin: Springer."},{"issue":"4","key":"875_CR2","first-page":"201","volume":"51","author":"A. Trochidis","year":"1982","unstructured":"Trochidis, A. (1982): Acustica, 51(4), 201.","journal-title":"Acustica"},{"issue":"1","key":"875_CR3","doi-asserted-by":"publisher","first-page":"69","DOI":"10.1016\/s0022-460x(02)01098-2","volume":"263","author":"R. Bossart","year":"2003","unstructured":"Bossart, R., Joly, N., Bruneau, M. (2003): J. Sound Vib., 263(1), 69. https:\/\/doi.org\/10.1016\/s0022-460x(02)01098-2.","journal-title":"J. Sound Vib."},{"key":"875_CR4","doi-asserted-by":"publisher","first-page":"633","DOI":"10.1016\/j.jcp.2018.06.005","volume":"371","author":"M. Berggren","year":"2018","unstructured":"Berggren, M., Bernland, A., Noreland, D. (2018): J. Comput. Phys., 371, 633. https:\/\/doi.org\/10.1016\/j.jcp.2018.06.005.","journal-title":"J. Comput. Phys."},{"issue":"3","key":"875_CR5","doi-asserted-by":"publisher","first-page":"555","DOI":"10.1006\/jsvi.1999.2355","volume":"227","author":"W. M. Beltman","year":"1999","unstructured":"Beltman, W. M. (1999): J. Sound Vib., 227(3), 555.","journal-title":"J. Sound Vib."},{"doi-asserted-by":"crossref","unstructured":"Beltman, W. M. (1998): Viscothermal wave propagation including acousto-elastic interaction. Ph.D. thesis, University of Twente.","key":"875_CR6","DOI":"10.1006\/jsvi.1999.2356"},{"key":"875_CR7","doi-asserted-by":"publisher","first-page":"3275","DOI":"10.1121\/1.2934166","volume-title":"Proceedings\u2014European Conference on Noise Control","author":"W. M. Beltman","year":"2008","unstructured":"Beltman, W. M., Wijnant, Y. H., Nijhof, M. J. (2008): In Proceedings\u2014European Conference on Noise Control (pp. 3275\u20133280). https:\/\/doi.org\/10.1121\/1.2934166."},{"issue":"3","key":"875_CR8","doi-asserted-by":"publisher","first-page":"555","DOI":"10.1006\/jsvi.1999.2355","volume":"227","author":"W. M. Beltman","year":"1999","unstructured":"Beltman, W. M. (1999): J. Sound Vib., 227(3), 555. https:\/\/doi.org\/10.1006\/jsvi.1999.2355.","journal-title":"J. Sound Vib."},{"issue":"1","key":"875_CR9","doi-asserted-by":"publisher","first-page":"115","DOI":"10.3813\/aaa.918262","volume":"96","author":"W. R. Kampinga","year":"2010","unstructured":"Kampinga, W. R., Wijnant, Y. H., de Boer, A. (2010): Acta Acust. Acust., 96(1), 115. https:\/\/doi.org\/10.3813\/aaa.918262.","journal-title":"Acta Acust. Acust."},{"issue":"4","key":"875_CR10","doi-asserted-by":"publisher","first-page":"618","DOI":"10.3813\/AAA.918442","volume":"97","author":"W. R. Kampinga","year":"2011","unstructured":"Kampinga, W. R., Wijnant, Y. H., de Boer, A. (2011): Acta Acust. Acust., 97(4), 618. https:\/\/doi.org\/10.3813\/AAA.918442.","journal-title":"Acta Acust. Acust."},{"unstructured":"COMSOL Multiphysics 5.4a (2018): URL www.comsol.com.","key":"875_CR11"},{"unstructured":"Henr\u00edquez, V. C. (2001): Numerical transducer modeling. Ph.D. thesis, Technical University of Denmark (DTU).","key":"875_CR12"},{"issue":"3","key":"875_CR13","doi-asserted-by":"publisher","first-page":"517","DOI":"10.3813\/AAA.918969","volume":"102","author":"T. Verdot","year":"2016","unstructured":"Verdot, T., Redon, E., Ege, K., Czarny, J., Guianvarc\u2019h, C., Guyader, J. L. (2016): Acta Acust. Acust., 102(3), 517. https:\/\/doi.org\/10.3813\/AAA.918969.","journal-title":"Acta Acust. Acust."},{"issue":"2","key":"875_CR14","doi-asserted-by":"publisher","first-page":"293","DOI":"10.1016\/j.sna.2007.11.029","volume":"143","author":"B. Weiss","year":"2008","unstructured":"Weiss, B., Reichel, E. K., Jakoby, B. (2008): Sens. Actuators A, Phys. 143(2), 293. https:\/\/doi.org\/10.1016\/j.sna.2007.11.029.","journal-title":"Sens. Actuators A, Phys."},{"issue":"1","key":"875_CR15","doi-asserted-by":"publisher","DOI":"10.1063\/1.3058201","volume":"21","author":"C. A. Van Eysden","year":"2009","unstructured":"Van Eysden, C. A., Sader, J. E. (2009): Phys. Fluids 21(1), 013104. https:\/\/doi.org\/10.1063\/1.3058201.","journal-title":"Phys. Fluids"},{"issue":"6","key":"875_CR16","doi-asserted-by":"publisher","first-page":"830","DOI":"10.3390\/s16060830","volume":"16","author":"L. Zhao","year":"2016","unstructured":"Zhao, L., Hu, Y., Wang, T., Ding, J., Liu, X., Zhao, Y., Jiang, Z. (2016): Sensors (Switzerland) 16(6), 830. https:\/\/doi.org\/10.3390\/s16060830.","journal-title":"Sensors (Switzerland)"},{"issue":"7","key":"875_CR17","doi-asserted-by":"publisher","first-page":"743","DOI":"10.1002\/1097-0363(20010415)35:7<743::AID-FLD109>3.0.CO;2-A","volume":"35","author":"F. P. Baaijens","year":"2001","unstructured":"Baaijens, F. P. (2001): Int. J. Numer. Methods Fluids, 35(7), 743. https:\/\/doi.org\/10.1002\/1097-0363(20010415)35:7<743::AID-FLD109>3.0.CO;2-A.","journal-title":"Int. J. Numer. Methods Fluids"},{"key":"875_CR18","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-40170-1","volume-title":"Numerical simulation of mechatronic sensors and actuators: finite elements for computational multiphysics","author":"M. Kaltenbacher","year":"2015","unstructured":"Kaltenbacher, M. (2015): Numerical simulation of mechatronic sensors and actuators: finite elements for computational multiphysics. 3rd ed. (Vol.\u00a02). Berlin: Springer. https:\/\/doi.org\/10.1007\/978-3-642-40170-1.","edition":"3"},{"unstructured":"Kaltenbacher, M., Toth, F.: openCFS. URL https:\/\/opencfs.org.","key":"875_CR19"}],"container-title":["e &amp; i Elektrotechnik und Informationstechnik"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00502-021-00875-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00502-021-00875-4\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00502-021-00875-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,12,21]],"date-time":"2022-12-21T19:07:13Z","timestamp":1671649633000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00502-021-00875-4"}},"subtitle":["Modelling viscous effects in MEMS devices"],"short-title":[],"issued":{"date-parts":[[2021,3,17]]},"references-count":19,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2021,6]]}},"alternative-id":["875"],"URL":"https:\/\/doi.org\/10.1007\/s00502-021-00875-4","relation":{},"ISSN":["0932-383X","1613-7620"],"issn-type":[{"type":"print","value":"0932-383X"},{"type":"electronic","value":"1613-7620"}],"subject":[],"published":{"date-parts":[[2021,3,17]]},"assertion":[{"value":"22 January 2021","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"2 March 2021","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"17 March 2021","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}