
vyathirikthamaya moolaka reethi

oru vyathiriktha moolaka reethi (deme), oru vyathiriktha moolaka reethi ennum ariyappedunnu, ithu dhaaraalam cheria kanangalude chalanavum phalavum kanakkakkunnathinulla samkhyaa reethikalude oru kudumbamaanu. deme molecular dynamicsumaayi valare adutha bandhamullathaanengilum, rotational digri oof freedam, stettful kondaakt, palappozhum sankeernamaaya jyaamithikal (polyheadra ulppede) enniva ulppeduthunnathiloodeya eee reethi saadhaaranayaayi verthirichariyappedunnath. computing shakthiyilum ettavum aduthulla ayal sortinginulla samkhyaa algorithangalilum purogathi kaivarichathode, orotta prosessoril dasalakshakkanakkinu kanikakal samkhyaaparamaayi anukarikkaan saadhyamaayi. granular, discondinues meteeriyalukalile enchiniyaring prasnangal, prathyekichu granular phloo, poudar mechanics, roock mechanics enniva pariharikkunnathinulla phalapradamaaya oru reethiyaayi innu deme vyaapakamaayi amgeekarikkappedunnu. taapa kaimaattam, raasapravarthanam, sii. eph. dii, phem ennivayilekkulla coupling enniva kanakkileduthu deme vipuleekaricha vyathiriktha moolaka reethiyilekku vyaapippichittund.
vyathirikthamaya moolaka reethikal thaarathamyena computational theevramaanu, ithu oru simuleshante dairkhyamo kanangalude ennamo parimithappedutthunnu. molecular dynamics kodukal pole niravadhi deme kodukalum samanthara prosessing kazhivukal (pankittatho vitharanam cheythatho aaya samvidaanangal) prayojanappedutthi kanangalude ennamo simuleshante neelamo vardhippikkunnu. ellah kanangaleyum vevvere kaikaaryam cheiyunnathinulla oru badal pala kanangaliludaneelamulla bhauthikashaasthrathe sharashari cheyyukayum athuvazhi metteeriyaline oru thudarchayaayi kanakkaakkukayum cheyyuka ennathaanu. soolid polulla granular swabhaavathinte kaaryatthil, soyil mekkaaniksilennapole, thudarchayaaya sameepanam saadhaaranayaayi metteeriyaline ilaastik allengil elaasto-plaastik aayi kanakkaakkukayum parimithamaaya moolaka reethi allengil mesh free reethi upayogichu athine maathrkayaakkukayum cheiyunnu. draavakam poleyo vaathakam poleyo granular floyude kaaryatthil, thudarchayaaya sameepanam metteeriyaline oru draavakamaayi kanakkaakkukayum computational fluid dynamics upayogikkukayum cheyyaam. ennirunnaalum, granular skeyil physixinte homogenisationile poraaymakal nannayi rekhappeduthappettirukku, koodaathe oru thudarchayaaya sameepanam upayogikkaan sramikkunnathinu munbu shradhaapoorvvam pariganikkendathaanu.
deme kudumbam.
peettar eiii nirddeshicha vyathyastha ghadaka reethiyaanu deme kudumbatthinte vividha shaakhakal. kundal, oottoo dii. ell. 1979-ll staakk, saamaanyavalkkaricha vyathiriktha ghadaka reethi, discondinues differmation analysis (dda), parimitha-vyathiriktha ghadaka reethi enniva niravadhi grouppukal oresamayam vikasippicheduthu (udha.jii., munjisa oovenum). roock mechanicsile prashnangalkkayi 1971 ll kundal aanu pothuvaaya reethi vikasippichath. demine oru saamaanyavalkkaricha parimitha ghadaka reethiyaayi kaanaan kazhiyumennu kaanichu. geomechanics prashnangalilekkulla athinte prayogam "roock mechanicsile samkhyaa reethikal" enna pusthakatthil vivarichittundu. vyathirikthamaya moolaka reethikalekkurichulla onnum randum moonnum anthaaraashtra konfaransukal eee reethiyilum athinte prayogangalilum purogathi prasidheekarikkunnathinu gaveshakarude oru pothu poyintaanu. vilyams, bikanik, bobatt thudangiyavar chernnu eee kalaaroopathe avalokanam cheiyunna jenal lekhanangal prasidheekarichittundu. (thaazhe kaanuka). samyojitha parimithamaaya moolakam-vyathirikthamaya moolaka reethikk samagramaya oru chikitsa "samyojitha parimithamaaya-vyathirikthamaya moolaka reethi" enna pusthakatthil adangiyirikkunnu.
aaplikkeshanukal.
meteeriyalil vyathyasthavum vyathirikthavumaya kanikakal adangiyirikkunnu ennathaanu reethiyude adisthaana anumaanam. eee kanangalkk kanangalude paraspara sanbarkkathe swaadheenikkunna vyathyastha aakruthikalum gunangalum undayirikkaam. chila udaaharanangal
deme upayogikkunna saadhaarana vyavasaayangal ivayaanu
reethiyude rooparekha.
aadyam oru model srishtikkunnathiloodeyaanu oru deme-simuleshan aarambhikkunnath, ithu ellah kanangaleyum speshyal ooriyantaayi ooriyantad cheiyunnathinum prarambha vegatha nalkunnathinum kaaranamaakunnu. oro kanikayilum pravartthikkunna sakthikal praadhamika daattayil ninnum prasakthamaaya bhauthika niyamangalil ninnum kondaakt modalukalil ninnum kanakkakkunnu. saadhaaranayaayi, oru simuleshanil moonnu bhaagangalunda prarambhamaakkal, vyakthamaaya samaya-ghattam, poost-prosessing. saadhyamaaya kondaakt jodikalude ennam kuraykkunnathinum computational aavasyakathakal kuraykkunnathinum time steppinginu saadhaaranayaayi aduthulla ayalkkaaran adukkendathundu; ithu palappozhum idaykkide maathrame nadathaarulloo.
macroscopic simuleshanukalil inipparayunna sakthikal pariganikkendathundu
oru tanmatra thalatthil, namukk pariganichekkaam
oro kanikayilum pravartthikkunna motham balam kandethunnathinu eee shakthikalellaam kootticherkkunnu. nyoottante chalana niyamangalil ninnu oru nischitha samaya ghattathil oro kanikayudeyum sthaanathileyum vegathayileyum maattam kanakkakkaan oru samyojana reethi upayogikkunnu. thudarnnu, adutha ghattathil fozhsukal kanakkakkaan puthiya sthaanangal upayogikkunnu, simuleshan avasanikkunnathuvare eee lupe aavarthikkunnu.
oru vyathiriktha ghadaka reethiyil upayogikkunna saadhaarana samyojana reethikal ivayaanu
thermal deme.
shareerathile pala prashnangalilum, prathyekichu granular metteeriyalukalilum mechanical edapedalukal pariganikkunnathin vyathirikthamaya moolaka reethi vyaapakamaayi prayogikkunnu. deminte vividha vipuleekaranangalil, thapapravaaham pariganikkunnath prathyekichum upayogapradamaanu. saadhaaranayaayi thermal deme reethikalil paranjaal, thermo-mechanical coupling pariganikkunnu, athuvazhi oru mechanical loadinginu vidheyamaaya oru macroscopic granular allengil multy-elament maadhyamathiloode thapapravaaham maathrkayaakkunnathinu oru vyakthigatha moolakatthinte taapa gunangal pariganikkunnu. classical deminte bhaagamaayi kanakkaakkappedunna interparticle fozhsukal yadhaartha interparticle kondaakttinte mekhalakal nirnnayikkaan upayogikkunnu, angane oru khara moolakathil ninnu mattonnilekku thaapatthinte chaalaka kaimaattatthe maathrkayaakkunnu. demil pariganikkunna mattoru vasham vathaka ghatta chalanam, vikiranam, kanangalude edangalile thaapatthinte samvahanam ennivayaanu. ithu sugamamaakkunnathin, marddam, vathaka chalakatha, vathaka thanmaathrakalude sharashari-mukta paatha ennivayude kaaryatthil anthar-moolaka vathaka ghattatthinte gunangal pariganikkendathundu.
deerghadoora sakthikal.
deerghadoora sakthikal (saadhaaranayaayi guruthwaakarshanam allengil coolumb fozhsu) kanakkiledukkumbol, oro jody kanangalum thammilulla prathipravartthanam kanakkaakkendathund. kanangalude ennathinanusarichu parasparapravartthanangalude ennavum kanakkukoottalinte chelavum naalirattiyayi vardhikkunnu. dhaaraalam kanangalulla simuleshanukalkku ithu sveekaaryamalla. eee prashnam ozhivakkaanulla oru maarggam parigananayilulla kanikayil ninnu valare akaleyulla chila kanangale oru seudoparticlayi samyojippikkuka ennathaanu. oru nakshatravum vidoora galaxy thammilulla prathipravartthanathe oru udaaharanamaayi pariganikkuka vidoora galaxyile ellah nakshathrangaleyum oru pooyint pindatthilekku samyojippikkunnathil ninnu undaakunna pishak valare kuravaanu. eathu kanikakal oru seudoparticlayi samyojippikkaamenn theerumaanikkaan trea algorithangal ennu vilikkappedunnava upayogikkunnu. eee algorithangal ellah kanangaleyum oru vrukshathilum, dvimaana kesil oru quadtree trimana kesil oru actriyum krameekarikkunnu.
ennirunnaalum, molecular dynamicsile simulationukal simuleshan nadakkunna sthalathe koshangalayi vibhajikkunnu. oru koshatthinte oru vashathukoodi purappedunna kanikakal maruvashathu cherkkunnu (aavarthichulla athirthi vyavasthakal); shakthikalude kaaryatthilum ithu baadhakamaan. katt-oof dooram (saadhaaranayaayi oru sellinte pakuthi neelam) ennu vilikkappedunnathinu sesham balam kanakkiledukkunnilla, athinaal oru kanikaye sellinte maruvashathulla athe kanikayude kannaadi chithram swaadheenikkilla. koshangal pakartthunnathiloode oraalkk ippol kanangalude ennam vardhippikkaan kazhiyum.
deerghadoora sakthiye kaikaaryam cheiyunnathinulla algorithangalil iva ulppedunnu
samyojitha parimitha-vyathiriktha ghadaka reethi.
munjisayudeyum ooventeyum pravarthanathetthudarnnu, samyuktha parimitha-vyathiriktha moolaka reethi farmaceutical tabletting, packaging, phloo simulationukal, impact analysis ennivayulppede niravadhi aaplikkeshanukalil kramarahitavum roopabhedam varuthavunnathumaaya vividha kanangalayi vikasippicheduthittundu.
gunangalum parimithikalum.
gunangal
poraaymakal
grandhasoochika.
pusthakam
aanukaalikam
nadapadikal