{"?xml":{"@version":"1.0"},"edm:RDF":{"@xmlns:dc":"http://purl.org/dc/elements/1.1/","@xmlns:edm":"http://www.europeana.eu/schemas/edm/","@xmlns:wgs84_pos":"http://www.w3.org/2003/01/geo/wgs84_pos","@xmlns:foaf":"http://xmlns.com/foaf/0.1/","@xmlns:rdaGr2":"http://rdvocab.info/ElementsGr2","@xmlns:oai":"http://www.openarchives.org/OAI/2.0/","@xmlns:owl":"http://www.w3.org/2002/07/owl#","@xmlns:rdf":"http://www.w3.org/1999/02/22-rdf-syntax-ns#","@xmlns:ore":"http://www.openarchives.org/ore/terms/","@xmlns:skos":"http://www.w3.org/2004/02/skos/core#","@xmlns:dcterms":"http://purl.org/dc/terms/","edm:WebResource":[{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:DOC-4FW098UW/ffab7b16-ec82-4295-8a62-bd0c9bfc8af2/HTML","dcterms:extent":"16 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:DOC-4FW098UW/b9979fa2-de58-4156-9416-0aa6762dba42/PDF","dcterms:extent":"80 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:DOC-4FW098UW/e5da37f1-8fa1-4374-9a41-9e0dd84e4de8/TEXT","dcterms:extent":"12 KB"}],"edm:TimeSpan":{"@rdf:about":"2000-2024","edm:begin":{"@xml:lang":"en","#text":"2000"},"edm:end":{"@xml:lang":"en","#text":"2024"}},"edm:ProvidedCHO":{"@rdf:about":"URN:NBN:SI:DOC-4FW098UW","dcterms:isPartOf":[{"@rdf:resource":"https://www.dlib.si/details/urn:nbn:si:spr-ihg6vo21"},{"@xml:lang":"sl","#text":"Materiali in tehnologije"}],"dcterms:issued":"2010","dc:creator":["Belikov, Sergey Borisevich","Chygyryns'kyy, Valeryy Victorovich","Mamuzić, Ilija","Shevchenko, Vladimir Grigorovich"],"dc:format":[{"@xml:lang":"sl","#text":"številka:4"},{"@xml:lang":"sl","#text":"letnik:44"},{"@xml:lang":"sl","#text":"str. 219-222"}],"dc:identifier":["ISSN:1580-2949","COBISSID:821162","URN:URN:NBN:SI:doc-4FW098UW"],"dc:language":"en","dc:publisher":{"@xml:lang":"sl","#text":"Inštitut za kovinske materiale in tehnologije"},"dc:subject":[{"@xml:lang":"sl","#text":"Cauchy-Riemannove funkcije"},{"@xml:lang":"sl","#text":"harmonične funkcije"},{"@xml:lang":"sl","#text":"teorija elastičnosti"}],"dcterms:temporal":{"@rdf:resource":"2000-2024"},"dc:title":{"@xml:lang":"sl","#text":"A new solution of the harmonic functions in the theory of elasticity| Nekatere značilnosti harmoničnih funkcij v teoriji o elastičnosti|"},"dc:description":[{"@xml:lang":"sl","#text":"A new approach to the solution of a plane problem of the theory of elasticity with the use of two harmonic functions with a Cauchy-Riemann analytical link is developed. The analysis of the harmonic functions shows that some allow a new approach to the solution of problems of the theory of elasticity. For the solution of linear differential equations a fundamental substitution is used, written in the general form psi(x,y) = y = Csub{sigma} * exp theta, with theta = theta(x,y) AS A function of the strain centre. The transformations are explaned with the properties of harmonic functions, where the Cauchy-Riemann relations can be used. The considered variants extend the possibilities for solutions and, if necessary, to obtain suitable functions for predetermined tasks. The new method is universal and can be effectively used when the fields of stresses and strains are described with trigonometric expressions"},{"@xml:lang":"sl","#text":"Razvit je bil nov način reševanja ravninskega problema teorije elastičnosti s Cauchy-Riemanovo analitično zvezo. Analiza harmoničnih funkcij pokaže, da nekatere omogočajo nov način za rešitve problemov iz teorije elastičnosti. Za rešitev linearnih diferencialnih enačb se uporablja temeljna substitucija, zapisana v splošni obliki z psi(x,y) = y = Csigma * exp theta, z theta = theta(x,y) kot funkcijo središča deformacije. Transformacije smo razložili z lastnostmi harmoničnih funkcij, pri katerih je dovoljena uporaba Cauchy-Riemanovih povezav. Upoštevane variante razširjajo možnost rešitev in, če je potrebno, omogočijo, da dobimo rešitve za vnaprej načrtovano uporabo. Nova metoda je univerzalna in se lahko učinkovito uporabi, če so polja napetosti in deformacij opisana s trigonometričnimi odvisnostmi"}],"edm:type":"TEXT","dc:type":[{"@xml:lang":"sl","#text":"znanstveno časopisje"},{"@xml:lang":"en","#text":"journals"},{"@rdf:resource":"http://www.wikidata.org/entity/Q361785"}]},"ore:Aggregation":{"@rdf:about":"http://www.dlib.si/?URN=URN:NBN:SI:DOC-4FW098UW","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:DOC-4FW098UW"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:DOC-4FW098UW/b9979fa2-de58-4156-9416-0aa6762dba42/PDF"},"edm:rights":{"@rdf:resource":"http://rightsstatements.org/vocab/InC/1.0/"},"edm:provider":"Slovenian National E-content Aggregator","edm:intermediateProvider":{"@xml:lang":"en","#text":"National and University Library of Slovenia"},"edm:dataProvider":{"@xml:lang":"sl","#text":"Inštitut za kovinske materiale in tehnologije"},"edm:object":{"@rdf:resource":"http://www.dlib.si/streamdb/URN:NBN:SI:DOC-4FW098UW/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:DOC-4FW098UW"}}}}