{"refrec":{"BRefID":295828,"RR":"Beuthe, M. (2015). Tides on Europa: the membrane paradigm. Icarus 248: 109-134. https://dx.doi.org/10.1016/j.icarus.2014.10.027","BEntID":287916,"PublicFlag":1,"CheckedFlag":1,"wosflag":1,"vabbflag":0,"RefStringPartII":". Icarus 248: 109-134. https://dx.doi.org/10.1016/j.icarus.2014.10.027","DocTypID":8,"DocType":"Journal article","MarineFlag":0,"FreshFlag":0,"BrackishFlag":0,"TerrestrialFlag":0,"Authorstring":"Beuthe, M.","OrigTitleTranslFlag":0,"Authorstringtrunc":"Beuthe, M.","Englishabstract":"Jupiter's moon Europa has a thin icy crust which is decoupled from the mantle by a subsurface ocean. The crust thus responds to tidal forcing as a deformed membrane, cold at the top and near melting point at the bottom. In this paper I develop the membrane theory of viscoelastic shells with depth-dependent theology with the dual goal of predicting tidal tectonics and computing tidal dissipation. Two parameters characterize the tidal response of the membrane: the effective Poisson's ratio 9 and the membrane spring constant A, the latter being proportional to the crust thickness and effective shear modulus. I solve membrane theory in terms of tidal Love numbers, for which I derive analytical formulas depending on A, 9, the ocean-to-bulk density ratio and the number 14 representing the influence of the deep interior. Membrane formulas predict h(2) and k(2) with an accuracy of a few tenths of percent if the crust thickness is less than one hundred kilometers, whereas the error on 12 is a few percents. Benchmarking with the thick-shell software SatStress leads to the discovery of an error in the original, uncorrected version of the code that changes stress components by up to 40%. Regarding tectonics, I show that different stress-free states account for the conflicting predictions of thin and thick shell models about the magnitude of tensile stresses due to nonsynchronous rotation. Regarding dissipation, I prove that tidal heating in the crust is proportional to Im(A) and that it is equal to the global heat flow (proportional to Im(k(2))) minus the core-mantle heat flow (proportional to Im(k(2)degrees)). As an illustration, I compute the equilibrium thickness of a convecting crust. More generally, membrane formulas are useful in any application involving tidal Love numbers such as crust thickness estimates, despinning tectonics or true polar wander.","AbstractOtherLang":null,"BibLvlCode":"AS","StandardTitle":"Tides on Europa: the membrane paradigm","OrigTitleLangCode":"en","OrigTitleLangCodeExtended":"eng","OrigTitleLangID":15,"DateLastModified":{"date":"2024-12-10 01:33:17.368041","timezone_type":1,"timezone":"+01:00"},"UserAccessRight":null,"UserAccID":null,"AuthorKeywords":"Europa; Tides, solid body; Tectonics; Planetary dynamics","OtherDescriptors":null,"Notes":null,"AnaPub":2015,"MonPub":null,"DateUpdate":"2022-07-12","DateCreate":"2018-05-15","SecASFANote":null,"ConfID":null,"PeerRev":1,"VlizCoreFlag":1,"WoScode":"WOS:000348411000005","VABBcode":null,"OpenAcc":0,"DOI":"10.1016/j.icarus.2014.10.027"},"refs":null,"anarec":{"AnaID":295828,"PubliDate":2015,"Pagination":"109-134","XtraPublOfAnaID":null,"ISBN":null,"Volume":"248","Issue":null,"BRefMon":null,"BRefMonRR":null,"BRefXtra":null,"BRefXtraRR":null,"SerBRefID":261659,"SerRR":"Icarus. Elsevier. ISSN 0019-1035; e-ISSN 1090-2643","StandardTitleSer":"Icarus","ISSN":"0019-1035","AbbrevSer":null,"StandardTitleMon":null,"StartPage":109,"Pages":26,"ToPubliDate":null,"BRefBibLvlCode":"S","SerNotes":null},"monrec":null,"serrec":null,"relations":null,"relationsRev":null,"addrec":null,"othpubs":null,"ownerships":null,"authors":[{"AutName":"Beuthe","Firstname":"Mikael","Initials":"M.","Affiliation":"Royal Observatory of Belgium","Discriminator":null,"CorporateFlag":0,"BEntID":287916,"AutID":238411,"OrderNr":1,"DegrID":null,"EditorFlag":0,"CorrespFlag":0,"IllustratorFlag":0,"ReviserFlag":0,"TranslatorFlag":0,"InsAcronym":"ROB","InsFSN":"Koninklijke Sterrenwacht van België","ORCID":null,"PersID":34006,"InsID":7216}],"mapdetails":null,"datasets":null,"monographs":null,"monparts":null,"serparts":null,"BEntOpen":null,"BEntPrivate":null,"availability":[{"BInstID":379110,"LibID":36,"BRefID":295828,"EmbargoDate":null,"FullEmbargoDate":null,"PhysMedID":16,"hasOCRd":null,"ShelfLocCode":"379110","RFID":null,"PaidValue":null,"Medium":"Server","Description":"Interne VLIZ documenten","Acronym":"VLIZ","Library":"Vlaams Instituut voor de Zee","DutchTerm":"Non-open access","URL":null,"ClassifID":228,"Classification":"Non-open access","ReqLink":1,"ClassifTypID":3,"URLLocation":"https://www.vliz.be/imisdocs/publications/","SubDir":1,"InternalReq":1,"LoggedInReq":1,"Disclaimer":"Disclaimer_VLIZ_Intern","DutchDisclaimer":"
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