{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,24]],"date-time":"2026-09-24T23:28:27Z","timestamp":1790292507743,"version":"4.1.0"},"reference-count":44,"publisher":"Springer Science and Business Media LLC","issue":"6","license":[{"start":{"date-parts":[[2020,6,13]],"date-time":"2020-06-13T00:00:00Z","timestamp":1592006400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2020,6,13]],"date-time":"2020-06-13T00:00:00Z","timestamp":1592006400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"funder":[{"name":"National Science Foundation","award":["824708"],"award-info":[{"award-number":["824708"]}]},{"DOI":"10.13039\/100000002","name":"National Institutes of Health","doi-asserted-by":"crossref","award":["R56-HL142743-01"],"award-info":[{"award-number":["R56-HL142743-01"]}],"id":[{"id":"10.13039\/100000002","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/100000002","name":"National Institutes of Health","doi-asserted-by":"crossref","award":["HL098036"],"award-info":[{"award-number":["HL098036"]}],"id":[{"id":"10.13039\/100000002","id-type":"DOI","asserted-by":"crossref"}]},{"name":"European Research Council","award":["2013-ADG-340561"],"award-info":[{"award-number":["2013-ADG-340561"]}]},{"name":"ARS01","award":["01384-PROSCAN"],"award-info":[{"award-number":["01384-PROSCAN"]}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Biomech Model Mechanobiol"],"published-print":{"date-parts":[[2020,12]]},"DOI":"10.1007\/s10237-020-01345-0","type":"journal-article","created":{"date-parts":[[2020,6,13]],"date-time":"2020-06-13T10:02:26Z","timestamp":1592042546000},"page":"2375-2395","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":16,"title":["Wrinkling instabilities for biologically relevant fiber-reinforced composite materials with a case study of Neo-Hookean\/Ogden\u2013Gasser\u2013Holzapfel bilayer"],"prefix":"10.1007","volume":"19","author":[{"given":"Nhung","family":"Nguyen","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Nandan","family":"Nath","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Luca","family":"Deseri","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Edith","family":"Tzeng","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Sachin S.","family":"Velankar","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2652-9714","authenticated-orcid":false,"given":"Luka","family":"Pocivavsek","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2020,6,13]]},"reference":[{"key":"1345_CR40","volume-title":"Analysis user\u2019s manual. Version 6.18","author":"ABAQUS","year":"2018","unstructured":"ABAQUS (2018) Analysis user\u2019s manual. Version 6.18. Dassault Systemes Simulia Inc., Providence, RI"},{"key":"1345_CR1","volume-title":"Analysis and design of structural sandwich panels","author":"DJ Allen","year":"1969","unstructured":"Allen HJ (1969) Analysis and design of structural sandwich panels. Pergamon Press, Oxford"},{"key":"1345_CR2","doi-asserted-by":"crossref","first-page":"1666","DOI":"10.1007\/s10439-012-0542-3","volume":"40","author":"AN Annaidh","year":"2012","unstructured":"Annaidh AN, Bruy\u00e8re K, Destrade M, Gilchrist MD, Maurini C, Ott\u00e9nio M, Saccomandi G (2012) Automated estimation of collagen fibre dispersion in the dermis and its contribution to the anisotropic behaviour of skin. Ann Biomed Eng 40:1666\u20131678","journal-title":"Ann Biomed Eng"},{"key":"1345_CR3","doi-asserted-by":"crossref","first-page":"168","DOI":"10.1007\/BF03184638","volume":"12","author":"MA Biot","year":"1963","unstructured":"Biot MA (1963) Surface instability of rubber in compression. Appl Sci Res 12:168\u2013182","journal-title":"Appl Sci Res"},{"key":"1345_CR4","doi-asserted-by":"crossref","first-page":"146","DOI":"10.1038\/30193","volume":"393","author":"N Bowden","year":"1998","unstructured":"Bowden N, Brittain S, Evans AG, Hutchinson JW, Whitesides GM (1998) Spontaneous formation of ordered structures in thin films of metals supported on an elastomeric polymer. Nature 393:146\u2013149","journal-title":"Nature"},{"issue":"5","key":"1345_CR5","doi-asserted-by":"crossref","first-page":"733","DOI":"10.1083\/jcb.200601060","volume":"173","author":"CP Brangwynne","year":"2006","unstructured":"Brangwynne CP, MacKintosh FC, Kumar S, Geisse NA, Talbot J, Mahadevan L, Parker KK, Ingber DE, Weitz DA (2006) Microtubules can bear enhanced compressive loads in living cells because of lateral reinforcement. J Cell Biol 173(5):733\u2013741","journal-title":"J Cell Biol"},{"key":"1345_CR6","doi-asserted-by":"crossref","first-page":"56","DOI":"10.1038\/nphys1806","volume":"7","author":"F Brau","year":"2011","unstructured":"Brau F, Vandeparre H, Sabbah A, Poulard C, Boudaoud A, Damman P (2011) Multiple-length-scale elastic instability mimics parametric resonance of nonlinear oscillators. Nat Phys 7:56\u201360","journal-title":"Nat Phys"},{"issue":"3","key":"1345_CR8","doi-asserted-by":"crossref","first-page":"031019","DOI":"10.1115\/1.4005960","volume":"79","author":"J Cao","year":"2012","unstructured":"Cao Y, Hutchinson JW (2012) Wrinkling phenomena in neo-Hookean film\/substrate bilayers. J Appl Mech 79(3):031019","journal-title":"J Appl Mech"},{"issue":"6","key":"1345_CR9","doi-asserted-by":"crossref","first-page":"431","DOI":"10.1007\/s10237-008-0146-x","volume":"8","author":"L Cardamone","year":"2009","unstructured":"Cardamone L, Valentin A, Eberth JF, Humphrey JD (2009) Origin of axial prestretch and residual stress in arteries. Biomech Model Mechanobiol 8(6):431\u2013446","journal-title":"Biomech Model Mechanobiol"},{"key":"1345_CR10","doi-asserted-by":"crossref","first-page":"1598","DOI":"10.1016\/j.jbiomech.2004.07.026","volume":"38","author":"E Cerda","year":"2005","unstructured":"Cerda E (2005) Mechanics of scars. J Biomech 38:1598\u20131603","journal-title":"J Biomech"},{"key":"1345_CR11","doi-asserted-by":"crossref","first-page":"074302","DOI":"10.1103\/PhysRevLett.90.074302","volume":"90","author":"E Cerda","year":"2003","unstructured":"Cerda E, Mahadevan L (2003) Geometry and physics of wrinkling. Phys Rev Lett 90:074302","journal-title":"Phys Rev Lett"},{"key":"1345_CR12","doi-asserted-by":"crossref","first-page":"2","DOI":"10.1016\/j.colsurfb.2010.10.034","volume":"85","author":"L Chen","year":"2011","unstructured":"Chen L, Han D, Jiang L (2011) On improving blood compatibility: from bio-inspired to synthetic design and fabrication of biointerfacial topography at micro\/nano scales. Colloids Surf B Biointerfaces 85:2\u20137","journal-title":"Colloids Surf B Biointerfaces"},{"key":"1345_CR13","doi-asserted-by":"crossref","first-page":"1359","DOI":"10.1016\/j.jmbbm.2011.05.006","volume":"4","author":"P Ciarletta","year":"2011","unstructured":"Ciarletta P, Izzo I, Micera S, Tendick F (2011) Stiffening by fiber reinforcement in soft materials: a hyperelastic theory at large strains and its application. J Mech Behav Biomed Mater 4:1359\u20131368","journal-title":"J Mech Behav Biomed Mater"},{"key":"1345_CR14","doi-asserted-by":"crossref","first-page":"248101","DOI":"10.1103\/PhysRevLett.113.248101","volume":"113","author":"P Ciarletta","year":"2014","unstructured":"Ciarletta P, Balbi V, Kuhl E (2014) Pattern selection in growing tubular tissues. Phys Rev Lett 113:248101","journal-title":"Phys Rev Lett"},{"key":"1345_CR15","volume-title":"Polymer surfaces in motion: Unconventional patterning methods, Ch. 8","author":"P Damman","year":"2015","unstructured":"Damman P (2015) Elastic instability and surface wrinkling. In: Rodriguez-Hern\u00e1ndez J, Drummond C (eds) Polymer surfaces in motion: Unconventional patterning methods, Ch. 8. Springer, Heidelberg"},{"key":"1345_CR16","doi-asserted-by":"crossref","first-page":"010801\/1-16","DOI":"10.1115\/1.4032436","volume":"68","author":"R de Rooij","year":"2016","unstructured":"de Rooij R, Kuhl E (2016) Consitutive modeling of brain tissue: current perspectives. Appl Mech Rev 68:010801\/1-16","journal-title":"Appl Mech Rev"},{"key":"1345_CR17","doi-asserted-by":"crossref","first-page":"095018","DOI":"10.1088\/1367-2630\/15\/9\/095018","volume":"15","author":"AK Epstein","year":"2013","unstructured":"Epstein AK, Hong D, Kim P, Aizenberg J (2013) Biofilm attachement reduction on bioinspired, dynamic, micro-wrinkling surfaces. New J Phys 15:095018","journal-title":"New J Phys"},{"key":"1345_CR18","doi-asserted-by":"crossref","first-page":"299","DOI":"10.1016\/j.jmps.2018.10.017","volume":"124","author":"M Fraldi","year":"2019","unstructured":"Fraldi M, Palumbo S, Carotenuto AR, Cutolo A, Deseri L, Pugno N (2019) Buckling soft tensegrities: Fickle elasticity and configurational switching in living cells. J Mech Phys Solids 124:299\u2013324","journal-title":"J Mech Phys Solids"},{"issue":"6","key":"1345_CR19","doi-asserted-by":"crossref","first-page":"15","DOI":"10.1098\/rsif.2005.0073","volume":"3","author":"TC Gasser","year":"2006","unstructured":"Gasser TC, Ogden RW, Holzapfel GA (2006) Hyperelastic modelling of arterial layers with distributed collagen fiber orientations. J R Soc Interface 3(6):15\u201335","journal-title":"J R Soc Interface"},{"key":"1345_CR20","doi-asserted-by":"crossref","first-page":"310","DOI":"10.1039\/b516741h","volume":"2","author":"J Genzer","year":"2006","unstructured":"Genzer J, Groenewold J (2006) Soft matter with hard skin: from skin wrinkles to templating and material characterization. Soft Matter 2:310\u2013323","journal-title":"Soft Matter"},{"key":"1345_CR21","doi-asserted-by":"crossref","DOI":"10.1007\/978-0-387-87710-5","volume-title":"The mathematcis and mechanics of biological growth","author":"A Goriely","year":"2017","unstructured":"Goriely A (2017) The mathematcis and mechanics of biological growth. Springer, Berlin"},{"key":"1345_CR22","first-page":"H687","volume":"247","author":"JE Greensmith","year":"1984","unstructured":"Greensmith JE, Duling BR (1984) Morphology of the constricted arteriolar wall\u2014physiological implications. Am J Physiol 247:H687\u2013H698","journal-title":"Am J Physiol"},{"key":"1345_CR23","doi-asserted-by":"crossref","first-page":"15568","DOI":"10.1039\/C5NR04156B","volume":"7","author":"J Hasan","year":"2015","unstructured":"Hasan J, Chatterjee K (2015) Recent advances in engineering topography mediated antibacterial surfaces. Nanoscale 7:15568\u201315575","journal-title":"Nanoscale"},{"issue":"5","key":"1345_CR24","doi-asserted-by":"crossref","first-page":"762","DOI":"10.1016\/j.jbiomech.2011.11.016","volume":"45","author":"MR Hill","year":"2012","unstructured":"Hill MR, Duan X, Gibson GA, Watkins S, Robertson AM (2012) A theoretical and non-destructive experimental approach for direct inclusion of measured collagen orientation and recruitment into mechanical models of the artery wall. J Biomech 45(5):762\u2013771","journal-title":"J Biomech"},{"issue":"105702","key":"1345_CR25","first-page":"1","volume":"106","author":"E Hohlfeld","year":"2011","unstructured":"Hohlfeld E, Mahadevan L (2011) Unfolding the sulcus. Phys Rev Lett 106(105702):1\u20134","journal-title":"Phys Rev Lett"},{"key":"1345_CR26","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-319-41475-1","volume-title":"Biomechanics: trends in modeling and simulation","author":"GA Holzapfel","year":"2017","unstructured":"Holzapfel GA, Ogden RW (2017) Biomechanics: trends in modeling and simulation. Springer, Berlin"},{"issue":"1\u20133","key":"1345_CR27","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1023\/A:1010835316564","volume":"61","author":"GA Holzapfel","year":"2000","unstructured":"Holzapfel GA, Gasser TC, Ogden RW (2000) A new constitutive framework for arterial wall mechanics and a comparative study of material models. J Elast 61(1\u20133):1\u201348","journal-title":"J Elast"},{"key":"1345_CR28","doi-asserted-by":"crossref","first-page":"1588","DOI":"10.1002\/adhm.201400035","volume":"3","author":"V Levering","year":"2014","unstructured":"Levering V, Wang Q, Shivapooja P, Zhao X, Lopez GP (2014) Soft robotic concepts in catheter design: an on-demand fouling-release urinary catheter. Adv Healthc Mater 3:1588\u20131596","journal-title":"Adv Healthc Mater"},{"key":"1345_CR29","doi-asserted-by":"crossref","first-page":"5718","DOI":"10.1039\/C4TB00881B","volume":"2","author":"X Liu","year":"2014","unstructured":"Liu X, Yuan L, Li D, Tang Z, Wang Y, Chen G, Chen H, Brash L (2014) Blood compatible materials: state of the art. J Mater Chem B 2:5718\u20135738","journal-title":"J Mater Chem B"},{"key":"1345_CR30","doi-asserted-by":"crossref","first-page":"9025","DOI":"10.1039\/b912314h","volume":"19","author":"C Mao","year":"2009","unstructured":"Mao C, Liang C, Luo W, Bao J, Shen J, Hou X, Zhao W (2009) Preparation of lotus-leaf-like polystyrene micro- and nanostructure films and its blood compatability. J Mater Chem 19:9025\u20139029","journal-title":"J Mater Chem"},{"key":"1345_CR31","doi-asserted-by":"crossref","first-page":"912","DOI":"10.1126\/science.1154069","volume":"320","author":"L Pocivavsek","year":"2008","unstructured":"Pocivavsek L, Dellsy R, Kern A, Johnson S, Lin B, Lee KYC, Cerda E (2008) Stress and fold localization in thin elastic membranes. Science 320:912\u2013916","journal-title":"Science"},{"key":"1345_CR32","doi-asserted-by":"crossref","first-page":"1963","DOI":"10.1039\/b817513f","volume":"5","author":"L Pocivavsek","year":"2009","unstructured":"Pocivavsek L, Leahy B, Holten-Andersen N, Lin B, Lee KYC, Cerda E (2009) Geometric tools for complex interfaces: from lung surfactant to the mussel byssus. Soft Matter 5:1963\u20131968","journal-title":"Soft Matter"},{"key":"1345_CR33","doi-asserted-by":"crossref","first-page":"948","DOI":"10.1038\/s41567-018-0193-x","volume":"14","author":"L Pocivavsek","year":"2018","unstructured":"Pocivavsek L, Pugar J, O\u2019Dea R, Ye S-H, Wagner W, Tzeng E, Velankar S, Cerda E (2018) Topography-driven surface renewal. Nat Phys 14:948\u2013953","journal-title":"Nat Phys"},{"key":"1345_CR34","doi-asserted-by":"crossref","first-page":"226","DOI":"10.1016\/j.biomaterials.2018.11.005","volume":"192","author":"L Pocivavsek","year":"2019","unstructured":"Pocivavsek L, Ye SH, Pugar J, Tzeng E, Cerda E, Velankar S, Wagner WR (2019) Active wrinkles to drive self-cleaning: a strategy for anti-thrombotic surfaces for vascular grafts. Biomateirlas 192:226\u2013234","journal-title":"Biomateirlas"},{"issue":"1","key":"1345_CR35","doi-asserted-by":"crossref","first-page":"137","DOI":"10.1007\/s10659-010-9290-5","volume":"105","author":"E Puntel","year":"2011","unstructured":"Puntel E, Deseri L, Fried E (2011) Wrinkling of a stretched thin sheet. J Elast 105(1):137\u2013170","journal-title":"J Elast"},{"key":"1345_CR36","doi-asserted-by":"crossref","first-page":"5028","DOI":"10.1039\/c4sm00027g","volume":"10","author":"Y Rahmawan","year":"2014","unstructured":"Rahmawan Y, Chen C-M, Yang S (2014) Recent advances in wrinkle-based dry adhesion. Soft Matter 10:5028\u20135039","journal-title":"Soft Matter"},{"issue":"10","key":"1345_CR37","doi-asserted-by":"crossref","first-page":"1430","DOI":"10.1002\/adma.201203374","volume":"25","author":"P Shivapooja","year":"2013","unstructured":"Shivapooja P, Wang Q, Orihuela B, Rittschof D, Lopez GP, Zhao X (2013) Bioinspired surfaces with dynamic topography for active control of biofouling. Adv Mater 25(10):1430\u20131434","journal-title":"Adv Mater"},{"key":"1345_CR38","doi-asserted-by":"crossref","first-page":"212","DOI":"10.1126\/science.1238842","volume":"342","author":"AE Shyer","year":"2013","unstructured":"Shyer AE, Tallinen T, Nerurkar NL, Wei Z, Gil ES, Kaplan DL, Tabin CJ, Mahadevan L (2013) Villification: how the gut gets its villi. Science 342:212\u2013218","journal-title":"Science"},{"key":"1345_CR39","unstructured":"Sidawy AN, Perler BA (eds) (2018) Rutherford\u2019s vascular surgery and endovascular therapy, 2 volume set, 9th edn. Elsevier, Amsterdam"},{"key":"1345_CR41","doi-asserted-by":"crossref","first-page":"22","DOI":"10.1016\/j.eml.2015.10.005","volume":"8","author":"PS Stewart","year":"2016","unstructured":"Stewart PS, Waters SL, El Sayed T, Vella D, Goriely A (2016) Wrinkling, creasing, and folding in fiber-reinforced soft tissues. Extreme Mech Lett 8:22\u201329","journal-title":"Extreme Mech Lett"},{"key":"1345_CR43","doi-asserted-by":"crossref","first-page":"932","DOI":"10.1098\/rspa.2011.0567","volume":"468","author":"J-Y Sun","year":"2012","unstructured":"Sun J-Y, Xia S, Moon M-W, Oh K-H, Kim K-S (2012) Folding wrinkles of a thin stiff layer on a soft substrate. Proc R Soc A 468:932\u2013953","journal-title":"Proc R Soc A"},{"key":"1345_CR44","first-page":"1","volume":"572","author":"E Svendsen","year":"1988","unstructured":"Svendsen E, Tindall AR (1988) The internal elastic membrane and intimal folds in arteries: important but neglected structures? Acta Physiol Scand Suppl 572:1\u201371","journal-title":"Acta Physiol Scand Suppl"},{"issue":"1\u20132","key":"1345_CR45","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/BF01176803","volume":"141","author":"WK Vonach","year":"2000","unstructured":"Vonach WK, Rammerstorfer FG (2000) The effects of in-plane core stiffness on the wrinkling behavior of thick sandwiches. Acta Mech 141(1\u20132):1\u201310","journal-title":"Acta Mech"},{"key":"1345_CR46","doi-asserted-by":"crossref","first-page":"2550","DOI":"10.1002\/adfm.201000034","volume":"20","author":"S Yang","year":"2010","unstructured":"Yang S, Khare K, Lin PC (2010) Harnessing surface wrinkle patterns in soft matter. Adv Funct Mater 20:2550\u20132564","journal-title":"Adv Funct Mater"}],"container-title":["Biomechanics and Modeling in Mechanobiology"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10237-020-01345-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s10237-020-01345-0\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10237-020-01345-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,6,12]],"date-time":"2021-06-12T23:49:38Z","timestamp":1623541778000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s10237-020-01345-0"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,6,13]]},"references-count":44,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2020,12]]}},"alternative-id":["1345"],"URL":"https:\/\/doi.org\/10.1007\/s10237-020-01345-0","relation":{},"ISSN":["1617-7959","1617-7940"],"issn-type":[{"value":"1617-7959","type":"print"},{"value":"1617-7940","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,6,13]]},"assertion":[{"value":"30 October 2019","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"12 May 2020","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"13 June 2020","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}