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NASA Technical Reports Server (NTRS) 20050123898: Elastic Response of Crimped Collagen Fibrils PDF

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Preview NASA Technical Reports Server (NTRS) 20050123898: Elastic Response of Crimped Collagen Fibrils

BLSSTIC RESPONSE OF CRIMUED COLLAGEN PIARITS ALB FREED AND. U DORI Arsimact_ 4 phymnlogeconsttutve vapassionisprevetel institut {ni neni eqponae of wary cllagen Borde aca i elt warn shive iganes. Tre Todel «2 based ob the vosenation tat eset le Lave 4 chow imi m ig, The sph tts ‘his wavednm nm te ore ea Fae © eines ‘theogea 9 be so 2 iu sl ngsearat wrists obeerrsione for simi se afte pam sce thal we appewtraniy 8 PS tiara 1 Isracoveres Passive soll ccuce are muisi-ccxstizaent wate-inls hat. froma heal carrying pea of view, aio predoninantiv composed cf to elastic pubstiwiese intuetin and roltagec Famurso! ins tyebsted prsuecglesn gel lground satmance} [!]. The alsstinégr! maisture (ground substance enatrix) centr bites to the overall furmepie: cexpane> walt tious, Uanegniged 2 ES a stionn gino era tr th response of the ground su ¢ other Rand, form Sion netwnn 1 sesponer [2 ‘The objective of this paper w to derive a physically base! m hing rhe eleati respira of oh ne em her, 09 revisk anarchist forse af cl apt 14. Chllagen Strnetmre. ¢ These male Pho egrroending conecetiwe align era Jes bus ose noiypaptide shalns lori? caw Piamewer i abe in, Tecatad at the period bana 3 sagen in this ass vr [sp ye ily geen Ll eles Ses. i ‘aac ibrih ame gall Looe) agavegesians 16 Aariy omnbetbile with 4 fives flr wth 5 thernaclven aggregate OF an etarvet The enstevon aa riendier, feos Sori? with Sautal geome Bales 15th Ue evaing fr AF scr Foun the 2S id PART? A} The see Ses Agere BAM ‘ig opera evn 8 papa inks pobsomation = “onfstenee, Banat ehangee ray be Fede efor for metoe caeinses avid tog see ean oil Eaton eed or rproditag sitoea fi pores of he ahr, 2 SD PHEEL AKDT, G ODED FICURE 1. SEM photograph of 2 erose sectional envienese ullsal vaite showing a Aber structore (Reproduced with pens om. Li Ase io ee colitis abscerl in phomgrimbie tmages fake iy elewscun aniecussopes, ke Hxeiage prewcntendis Whg. AOSHI AF CHANDA ACIKN PLL 3 Lina tapi Stress GUN 2. A oceanic of Hoy wines Sauelet sespeuse of sollagonon: raed hens aie wany sles vay hl lar tone eegiom, collage Ne ssevablug at ae mien ‘arcsazhon. de tae pes Aw Vie efaraa.iou i lulates cantying load ac if # vere at uccoRisy spEng wif ive is obearvad—the D-szening re-saing comstant ihe we zegion, pasamg the keel in # eat ily ars be werecbeat nis wary shape “ong araion. faniomis ia Wie Eaeae 2egion, ‘Ve D ‘ws exiond Ses UT ua up 22 30 20, nom 405% 6 this samrall sxckelr 112]. Anolber vo: waives Tor shige is Ui dol zeation ¢f eandunnen Kabinges tdadiag Lie vatious Hors a Hee elayen bicracely-a Zululag over aud excension ef ss GAC crost-Lmis Bi Cheeni chia. th spacing at lie everson level hast Twat cbocrve ut this aaly cuntsrimte ‘acthe. contatbusio# io this mechani of defszmacion meay actualy boiong, Hue Enel siemebing of ariayp ito ito weab shave (8 Fig Fiber vearing geveral sat the end of ecretching tn the I ser, they: do wok dot iohongh lasticiy ine to then: []. Pigner 2 rsprecente the response of 3 wingle ecimped “bil A fiber 6 net iy a elves: sieeve votes (Deg failnca ip avs gsexinal wal gtecetut thm thot Top ta segion:} hiss even? A . ALDFRERR AGT. pn aINe Material Geis fox oflagon aenerally belong, te ane fw clase phon ueneloas- josh mrmetmal. Boil wiers end macro var ate balovgirg bo these ier Cates ‘ol models have meters] pavaarers with ae direct, erphologieal only emplegeel en sar dase tvallagen [R8], Powe-law Funcoors have alsa boss 0 i of salloge Fs the igi pareve, “hore sue predominantly two types crimp models chat bave hen reourtet oa tthe necatus, Bodh coasidee wr devwshing arisme “Ther me tg thought: 78 being “lat ezay has a fairy manootis gloaat er hung tat sae! planar vee lection Tee Siar Ieotlies!s pan seieoagcopls eve "Ya [ESE xl xe Hom a sirntaidal seve ra two disci efor ite snes hoe a E desioo! goastitutise 1s sve he tu cara 2 Her igi hia aud Beni “inks [27 S| ais faniide binges and Boadble links constitute « md cae af amas catiagon lies waweloeas, “Lbep cneloss with varymig degre Is covtrast, ane cevlapee tended soansans a stavoll ABD crimp speciteaily, we eomplag 2 cslindrical selie, Evans aunl Barbonel !20] and Yai ané Drown [21] Fave both reporter thar viunat ond cule ecimp pattems. exis. “The waveform shape deperds cm bel Hae atel location, Lerck 422] wes the to describe the geonrwatic§ sid ubis he it using she geome To fea 08 consahutve express for esruped ‘Hosrover, thelr mode! saptio of tex twee ot stenin, Dale of uh. 16] otwnred stat ti wovara 0 ie boubed betirees models of an retencing ise wae {cm bole aed ao exlecding cylzdrice! askin (fora 30ure, Zs tiie tw we Herne 4 pliwinleaity hrged. ccaan tutive cavgreseion #4 the ys soaie for thy ludieal bouad. utise Shall angels tu bulau Bupelaa cage via obatelly ¢ sitting ned 2. appsonnia fs idea, se [25; hore clesiere: a comatitutive expe fox ber oplag ta wu efficient yaar, teveckyy -uateing ccontizaiom UA ag material iaputs, Shere 7 ie che her sterk and ‘Tne paper you are teadine resulted prs a and om desize te derive mcdeling, Expowsding Tur saft sssues that. account sisal foe dite -elerzent A eesti 9 ‘is he Ber them fears a physiolagte: ropeesenlation of cellayea ery. okSiC WASPCHNY OF ORISLEESS COLLAGE “ARIS 5 SIGURE 3. sollagin belle ie elise: tones tees (Reproducad with persion dru 5. {su fA} 4, G2esacaic Mobi Calas ELBKIGS PA Basonch igure @ is » cose up of Fig, 1, whore ane obcewes lsat coulayt. ilaids kare a SD ical ape 1 2 fascicles free freon external traciica, Thee diffesesa prowweuds were lossil far SBM apecknee preperation, ai] boil Ana navdudate in Sapece [6 By expeating the phy resporde of soft collagenous tis epresonting the waveform ef need xo integrate along, the lselieal axis, thev hich ag 4 typice? value vanging etweea 28 2 a cain for avoplizurs; be given by H, which bes a wpiea! valus ranging betmmum 1 and 1G yen if ed Ioaath 2 of one elien! sewclucn it ae Hig bs Z samcier thot oe well asarme rerasine fixed th:cughe 2eforrant Marlkecumeee, Sot tee vadhas oF thie feo be denoted, eye pur. depending on age, tise, a fexre, tt whee yale sar sation writin the tier 6 Ac D.YRBED AND 1.73, BSE pheysio sie couplaven’ by Asal au! Goasivs 26) ia. Unie clataic study of Lellal sprigs, aud ay Bithve and eu is 223. be ihe sete heir voliagen model. We, ot che other baud, cds ihe 6 of Gilerentied gocmelss, where the gcounsliy b° aay curve it Bapsce exa be dee Hindsina? Losin is yivea aw coordinate Syste vd —Hsiness, Rowse, 4 eC tose, «ses Basics, 8 along i enw, jax Opal Mh HEE i he hingrmal sactos TE 6, Cmahisn hile J Fignre 4 px il is coasidcevd to easry Ina. A forte a a He ection, wee sunny Uuamslaies out Lo cle Lelis macau gcliug 16, thestty paodacing Gabi ach ob the face of Ue belle iso 1, eespenrneely, uch ia ere ¥ whe Pug te a untied by ab Mpa vRETE Te, Eo PRE Scalers P, F, # A, oud 2 ate the magaicudss of vee it filament hose straus east rhere 7 1 socom, #55 strain, aad V is volume “The elastic slsuin energy of suca laren *LIUAB,, where F ia the applied forse, Lis uke lenglts, A s-ws? iy the crom-sectionsl area, and Ey isthe elastic 210 2 application of Cast) relation yim i fardy, PEDIC, ses a inert less HB and hase RESIGNS OF CHING: COLL 1EN PERILS al “ FIGURE 4, Diagram of how force P acting @oug sw vent riofarved te forees F and Vaid moments M and ‘Tis Duelthoate of the Heli, be Ge fh /8. Anwilue auiticution af Ceatixtlano’ me). leads a rein, his sare using Rye, (2 fa aya Ment sani theretore lb obtain reelieic baiavior Fury te envaiog eas sitinn Fels plang Sr length chat lead te fingtead of an iaterial equation), whick sede wrout mnie to thu ras Unie Gaasteet sari theory, where the rate of rad £75 20) ofprech [osx ron T 20/42 =U) of a ix ace constrain so that the spring erin vemsinn appre ih defirmacivr: 126}, the pityscs uf crimped ec xgea! nis, 4 plot of caucea is the wombitede Raed angle equines tee bulix Gf pieeh @ ovee Ute tow cegiun, whree respons ane atmost Sdeutical, a presented vn shenting, aud ee fers teers from tri ves Tersula, il iy elne syne hae ex rnd su Haney saa need Tu Ube driveline af Fay, Ib ay an appreeties Dark fineare formule from saved beam theory Sach aha Regn tke utaptlade sud augle of pick o af enue fnstel values 23 und gg) os straick A or eby boo flecus dus to cur mature te be megligibte bor helacal ava plotted agaiuat. xonaalizad stiffues: YP, arhereit: Fog the eluate shaviet ‘the Haar region, anid 7 ia thot secant inaduus talomgicg to the point of trarek Told rouseant and ie eve, Daefwean the fue nad near regions, Im ons cnt, #4 while fs the other ete zp Fs Mell constant savl My vneial, The tine obeys ae iMluslieal, Cosnequently, ae is fron 1 eldanie tap eames itr the iadeosten variables "Phe darivoien af sia reietbative, aquatic reed, we be cme Tid 4 Ay, we foe! rom a aor He eee Hf, a that 9 GH The ssveticen aed to axtanda into a 1) The only hed vxrricd by a aiseped fbn is corvesline of he hoi, whic i roneiitent ith 9p omansirs scrially, the ced of m helix defers Bavtlealy tr eccordave wish fesinual dekrmatnins Swory. Macrosurccksrally, che helical Ser thao tensor: pring ow ss amaveece wit t No intureeslows are considered between geighicuring helices (ea. there ly ae nent save rave passers {S1]}, or between. 2 Ela Aesermnation theory ars song, Uh aces six sles fine ster a Wrhecever tke mean tal the toe magiea, When Ie: WISPORIHC OF Al ePHO COLLAGEN ERLE 8 8. Plats of cries wireless My useunal b Ty slic Uusie sardulis & wasalise iy Ube secant modulus E ae th enc ath nd Iu where Hy the rnstial crimag, oy oe the emia! ony! 5 lus of the fier m the Bnene repon, and Jy is ste altioste nirchoh then: See teal sa thet | Cosipute ove stant saremeiers = (he = EY 1s RPL igen 1 [Alte - Ho}: 28)0 7 BF Hc* + Aba areP BONO ENG ET, se (Ribrit Pathe Resurn Phe Tava region, Pha afar ae an] sano wore fla, (2). "The fi assets alkane: Bq, (1) the wasup vn thas offline ny etums, Conpling snk azive i ie ubva Legtin 6 sckrmce bi extacal eiascically wheusvie M20, Pigune of reabasiad Ala ig, J si aepursiuce enous Ue We rage a A.D, PREET aN, @ normaIe An fe Regie Jhayeg fae etices/otroteh curmms in te toe veg tue nevteh aud stness vaines belonging, ‘che tre ara liners segiors, The liar musterial enescant Fae epi Bibs, Pasa sui adal szstch “for a bey, he algorithm aero Ue straw » saad by tho: Oa. Ke this algocivn prone the ser st Secael auocuius, meapactivaly, af the gota oft Tatwee Hs fw al Jiscer wyiens, Potacaetos (as extracted fiom Be {4b}. OF the fine mecifed nelexind parce, the sizckch at false >, ata the elartic mod Tino eins sau both be obtained dese'ydrea: an expecirsental sr Arguing ‘is remaining two parameters, Harp and Rajty, is ¥ more codiows sae lal is ereatly abled Sp optinteation vechzigues ‘le alr collagen Aber medels, ourimndel permitacormpramsive states = teic#] tube cslagea ude of Besssblet otal, 22! deine & represented ia a Scoiecn manner. Fy ould need co be an 0 3 Abe spring «ia eeu tebe carey meade rable’ i Lmgntd he koa 5 BSAMGLE + trasamiiting loads frorn one atéat hae al mawer, for example: cezdone, ixemenr, Tuder normal losdmg amditions, rhe act along he gestern ef clin ith fhe applies 4 thew: jiag ancl che dontnare Ster sxis being voincideny. Aigovitin: ? ect cousitions, ‘Tue ability of ow elical model ro ft expetimenta: data iw domtousteated i Fig. 3, The date fae trons Ove chordge tucdiuese ides Seer: parla vivral valtey. ‘Te experienc were done in a servorhtnvlit Loci ‘8 peotovcl char ie desorived ia Ref. 82%. The crave-sec ee Ha pond ave ad gag demges

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