{"id":"https://openalex.org/W2000491109","doi":"https://doi.org/10.1088/0960-1317/20/9/095016","title":"Extension of the beam theory for polymer bio-transducers with low aspect ratios and viscoelastic characteristics","display_name":"Extension of the beam theory for polymer bio-transducers with low aspect ratios and viscoelastic characteristics","publication_year":2010,"publication_date":"2010-08-10","ids":{"openalex":"https://openalex.org/W2000491109","doi":"https://doi.org/10.1088/0960-1317/20/9/095016","mag":"2000491109"},"language":"en","primary_location":{"id":"doi:10.1088/0960-1317/20/9/095016","doi":"https://doi.org/10.1088/0960-1317/20/9/095016","is_oa":true,"landing_page_url":"https://doi.org/10.1088/0960-1317/20/9/095016","pdf_url":"https://iopscience.iop.org/article/10.1088/0960-1317/20/9/095016/pdf","source":{"id":"https://openalex.org/S170809390","display_name":"Journal of Micromechanics and Microengineering","issn_l":"0960-1317","issn":["0960-1317","1361-6439"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-c","jufo-1","norway-1","poland-70","russia-white-list-2"],"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Micromechanics and Microengineering","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://iopscience.iop.org/article/10.1088/0960-1317/20/9/095016/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5019328996","display_name":"Ping Du","orcid":"https://orcid.org/0000-0002-6435-8031","observed_orcids":["https://orcid.org/0000-0002-6435-8031"]},"institutions":[{"id":"https://openalex.org/I111088046","display_name":"Boston University","ror":"https://ror.org/05qwgg493","country_code":"US","type":"education","lineage":["https://openalex.org/I111088046"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ping Du","raw_affiliation_strings":["Department of Mechanical Engineering, Boston University, Boston, MA 02215, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, Boston University, Boston, MA 02215, USA","institution_ids":["https://openalex.org/I111088046"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103917795","display_name":"I-Kuan Lin","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I111088046","display_name":"Boston University","ror":"https://ror.org/05qwgg493","country_code":"US","type":"education","lineage":["https://openalex.org/I111088046"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"I-Kuan Lin","raw_affiliation_strings":["Department of Mechanical Engineering, Boston University, Boston, MA 02215, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, Boston University, Boston, MA 02215, USA","institution_ids":["https://openalex.org/I111088046"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032097167","display_name":"Hongbing Lu","orcid":"https://orcid.org/0000-0003-4268-7245","observed_orcids":["https://orcid.org/0000-0003-4268-7245"]},"institutions":[{"id":"https://openalex.org/I162577319","display_name":"The University of Texas at Dallas","ror":"https://ror.org/049emcs32","country_code":"US","type":"education","lineage":["https://openalex.org/I162577319"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Hongbing Lu","raw_affiliation_strings":["Department of Mechanical Engineering, The University of Texas at Dallas, Richardson, TX 75080, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, The University of Texas at Dallas, Richardson, TX 75080, USA","institution_ids":["https://openalex.org/I162577319"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100327456","display_name":"Xin Zhang","orcid":"https://orcid.org/0000-0002-4413-5084","observed_orcids":["https://orcid.org/0000-0002-4413-5084","https://orcid.org/0009-0009-0636-0959"]},"institutions":[{"id":"https://openalex.org/I111088046","display_name":"Boston University","ror":"https://ror.org/05qwgg493","country_code":"US","type":"education","lineage":["https://openalex.org/I111088046"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Xin Zhang","raw_affiliation_strings":["Department of Mechanical Engineering, Boston University, Boston, MA 02215, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, Boston University, Boston, MA 02215, USA","institution_ids":["https://openalex.org/I111088046"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5032097167"],"corresponding_institution_ids":["https://openalex.org/I162577319"],"apc_list":{"value":3325,"currency":"USD","value_usd":3325},"apc_paid":null,"fwci":0.9334,"has_fulltext":true,"cited_by_count":37,"citation_normalized_percentile":{"value":0.68661528,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":98},"biblio":{"volume":"20","issue":"9","first_page":"095016","last_page":"095016"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10379","display_name":"Cellular Mechanics and Interactions","score":0.7139000296592712,"subfield":{"id":"https://openalex.org/subfields/1307","display_name":"Cell Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T10379","display_name":"Cellular Mechanics and Interactions","score":0.7139000296592712,"subfield":{"id":"https://openalex.org/subfields/1307","display_name":"Cell Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10923","display_name":"Force Microscopy Techniques and Applications","score":0.08340000361204147,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10369","display_name":"Advanced MEMS and NEMS Technologies","score":0.07649999856948853,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/microcantilever","display_name":"microcantilever","score":0.8849999904632568},{"id":"https://openalex.org/keywords/timoshenko-beam","display_name":"Timoshenko beam theory","score":0.8659999966621399},{"id":"https://openalex.org/keywords/viscoelasticity","display_name":"viscoelasticity","score":0.9210000038146973},{"id":"https://openalex.org/keywords/stress-relaxation","display_name":"stress relaxation","score":0.7129999995231628},{"id":"https://openalex.org/keywords/generalized-maxwell-model","display_name":"generalized Maxwell model","score":0.7730000019073486},{"id":"https://openalex.org/keywords/ramp-loading","display_name":"ramp loading","score":0.6169999837875366},{"id":"https://openalex.org/keywords/loading-rate-effects","display_name":"loading rate effects","score":0.5569999814033508}],"concepts":[{"id":"https://openalex.org/C190699663","wikidata":"https://www.wikidata.org/wiki/Q2435044","display_name":"Timoshenko beam theory","level":3,"score":0.8508543968200684},{"id":"https://openalex.org/C186541917","wikidata":"https://www.wikidata.org/wiki/Q910483","display_name":"Viscoelasticity","level":2,"score":0.804283618927002},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.7194939255714417},{"id":"https://openalex.org/C2779849746","wikidata":"https://www.wikidata.org/wiki/Q411955","display_name":"Polydimethylsiloxane","level":2,"score":0.674381673336029},{"id":"https://openalex.org/C168834538","wikidata":"https://www.wikidata.org/wiki/Q3705329","display_name":"Beam (structure)","level":2,"score":0.6427522301673889},{"id":"https://openalex.org/C141354745","wikidata":"https://www.wikidata.org/wiki/Q17227","display_name":"Cantilever","level":2,"score":0.4733034670352936},{"id":"https://openalex.org/C47422493","wikidata":"https://www.wikidata.org/wiki/Q2755127","display_name":"Wedge (geometry)","level":2,"score":0.43288522958755493},{"id":"https://openalex.org/C128172907","wikidata":"https://www.wikidata.org/wiki/Q4887116","display_name":"Bending stiffness","level":3,"score":0.4254128932952881},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.4239477515220642},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.379932701587677},{"id":"https://openalex.org/C87210426","wikidata":"https://www.wikidata.org/wiki/Q1072476","display_name":"Bending","level":2,"score":0.3792009949684143},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.3521685004234314},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.19699135422706604},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.13929766416549683},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1350553035736084},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.07567980885505676},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1088/0960-1317/20/9/095016","doi":"https://doi.org/10.1088/0960-1317/20/9/095016","is_oa":true,"landing_page_url":"https://doi.org/10.1088/0960-1317/20/9/095016","pdf_url":"https://iopscience.iop.org/article/10.1088/0960-1317/20/9/095016/pdf","source":{"id":"https://openalex.org/S170809390","display_name":"Journal of Micromechanics and Microengineering","issn_l":"0960-1317","issn":["0960-1317","1361-6439"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-c","jufo-1","norway-1","poland-70","russia-white-list-2"],"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Micromechanics and Microengineering","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1088/0960-1317/20/9/095016","doi":"https://doi.org/10.1088/0960-1317/20/9/095016","is_oa":true,"landing_page_url":"https://doi.org/10.1088/0960-1317/20/9/095016","pdf_url":"https://iopscience.iop.org/article/10.1088/0960-1317/20/9/095016/pdf","source":{"id":"https://openalex.org/S170809390","display_name":"Journal of Micromechanics and Microengineering","issn_l":"0960-1317","issn":["0960-1317","1361-6439"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-c","jufo-1","norway-1","poland-70","russia-white-list-2"],"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Micromechanics and Microengineering","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G2412861487","display_name":"Mechanical Behavior of Amorphous Plasma-Enhanced Chemical Vapor Deposited Silicon Oxide Films for MEMS Applications","funder_award_id":"0700688","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3019036754","display_name":"Collaborative Research:  Measurements of Yield Strength and Local Viscoelastic Properties Using Nanoparticle Embedment Methods","funder_award_id":"0928363","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3890763653","display_name":"CAREER:  Creating Nanostructured Gratings on Microstructures for Residual Strain/Stress Measurement in NEMS/MEMS and Traction Force Measurement in Cells","funder_award_id":"0239163","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4910384015","display_name":"Collaborative Research:  Elastic and Viscoelastic Characterization and Modeling of Polymer Based Structures for Biological Applications","funder_award_id":"0826241","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7610909541","display_name":"Collaborative Research: Elastic and Viscoelastic Characterization and Modeling of Polymer based Structures for Biological Applications","funder_award_id":"0826191","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320337391","display_name":"Division of Civil, Mechanical and Manufacturing Innovation","ror":"https://ror.org/028yd4c30"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2000491109.pdf","grobid_xml":"https://content.openalex.org/works/W2000491109.grobid-xml"},"referenced_works_count":32,"referenced_works":["https://openalex.org/W1553692161","https://openalex.org/W1601889424","https://openalex.org/W1963764377","https://openalex.org/W1971870134","https://openalex.org/W1978811179","https://openalex.org/W1979613371","https://openalex.org/W1993582348","https://openalex.org/W1994215475","https://openalex.org/W1995553030","https://openalex.org/W1996734132","https://openalex.org/W1998065648","https://openalex.org/W2002314734","https://openalex.org/W2004169991","https://openalex.org/W2021253659","https://openalex.org/W2029276247","https://openalex.org/W2034135134","https://openalex.org/W2039637406","https://openalex.org/W2044776099","https://openalex.org/W2059717221","https://openalex.org/W2061659006","https://openalex.org/W2070102433","https://openalex.org/W2070848286","https://openalex.org/W2071589172","https://openalex.org/W2079508597","https://openalex.org/W2086774998","https://openalex.org/W2096827237","https://openalex.org/W2097323476","https://openalex.org/W2111811045","https://openalex.org/W2139893885","https://openalex.org/W2148463401","https://openalex.org/W2161065218","https://openalex.org/W2162623861"],"related_works":["https://openalex.org/W2061659006","https://openalex.org/W2271491919","https://openalex.org/W2160350228","https://openalex.org/W2186113837","https://openalex.org/W2769631547","https://openalex.org/W2148463401","https://openalex.org/W2002314734","https://openalex.org/W2094596603","https://openalex.org/W2154609543","https://openalex.org/W1964153360"],"abstract_inverted_index":{"Polydimethylsiloxane":[0],"(PDMS)-based":[1],"micropillars":[2,77,190],"(or":[3],"microcantilevers)":[4],"have":[5],"been":[6],"used":[7,135,204],"as":[8],"bio-transducers":[9],"for":[10,65,91,114,297],"measuring":[11],"cellular":[12],"forces":[13,224,255],"on":[14,29,52],"the":[15,34,38,47,53,66,69,81,86,104,121,127,138,166,207,211,214,228,243,246,253,258,282,288,295,298,301,310],"order":[16],"of":[17,24,59,75,129,132,141,146,171,188,210,245,279,300],"pN":[18],"to":[19,32,45,111,136,164,205,241,287,305],"\u00b5N.":[20],"The":[21,42,143,174,186,198,221,277],"measurement":[22,219],"accuracy":[23,244,296],"these":[25],"sensitive":[26],"devices":[27],"depends":[28],"appropriate":[30,90],"modeling":[31,280],"convert":[33],"micropillar":[35,303],"deformations":[36,304],"into":[37],"corresponding":[39],"reaction":[40,48,223,254],"forces.":[41],"traditional":[43],"approach":[44],"calculating":[46],"force":[49,116],"is":[50],"based":[51],"Euler":[54,260,267,284],"beam":[55,64,83,88,93,123,201,249,264,268,285,291],"theory":[56,286,292],"with":[57,94,126,169,218,227],"consideration":[58,128,170],"a":[60,92,95,155,182,194],"linear":[61],"elastic":[62,259,262,283],"slender":[63,82],"micropillar.":[67],"However,":[68],"low":[70,96],"aspect":[71,97,272],"ratio":[72],"in":[73,108],"geometry":[74],"PDMS":[76,109,147,302],"does":[78],"not":[79],"satisfy":[80],"requirement.":[84],"Consequently,":[85],"Timoshenko":[87,122,200,248,263,290],"theory,":[89,124],"ratio,":[98],"should":[99],"be":[100,112],"used.":[101],"In":[102,118],"addition,":[103],"inherently":[105],"time-dependent":[106],"behavior":[107,131,145],"has":[110,293],"considered":[113],"accurate":[115],"conversion.":[117],"this":[119],"paper,":[120],"along":[125],"viscoelastic":[130,144,199,247,266,289],"PDMS,":[133],"was":[134,148,162,177,191,203,239],"model":[137,250],"mechanical":[139,208],"response":[140,209],"micropillars.":[142],"characterized":[149],"by":[150,181,193,251],"stress":[151],"relaxation":[152,175],"nanoindentation":[153],"using":[154],"circular":[156],"flat":[157],"punch.":[158],"A":[159,236],"correction":[160],"procedure":[161],"developed":[163],"determine":[165],"load\u2013displacement":[167],"relationship":[168],"ramp":[172],"loading.":[173],"function":[176],"extracted":[178],"and":[179,213,265,274],"described":[180],"generalized":[183],"Maxwell":[184],"model.":[185],"bending":[187],"rectangular":[189],"performed":[192],"wedge":[195],"indenter":[196],"tip.":[197],"formula":[202],"calculate":[206],"micropillar,":[212],"results":[215],"were":[216],"compared":[217],"data.":[220],"calculated":[222,256],"agreed":[225],"well":[226],"experimental":[229],"data":[230],"at":[231,270],"three":[232],"different":[233],"loading":[234,275],"rates.":[235,276],"parametric":[237],"study":[238],"conducted":[240],"evaluate":[242],"comparing":[252],"from":[257,281],"beam,":[261],"models":[269],"various":[271],"ratios":[273],"extension":[278],"improved":[294],"conversion":[299],"forces,":[306],"which":[307],"will":[308],"benefit":[309],"polymer-based":[311],"micro":[312],"bio-transducer":[313],"applications.":[314]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":2}],"updated_date":"2026-11-10T11:39:43.021295","created_date":"2016-06-24T00:00:00"}