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- W1992138049 abstract "The elastic fields in an elastic circular inclusion and surrounding infinite matrix containing two cracks symmetrically situated, are determined when the matrix is subjected to loads at infinity. In this problem, the elastic properties of inclusion could differ from those of the matrix. The Muskhelishvili's technique is used. The solution depends upon two sets of suitable complex potentials Φm(z), Ψm(z), Φi(z), Ψi(z) for matrix and inclusion respectively, which solves the problem. Les champs élastiques dans une inclusion circulaire élastique et une matrice infinie l'entourant et contenant deux fissures disposées symétriquement, sont déterminés lorsque la matrice est soumise à des charges à l'infini. Dans ce problème, les propriétés élastiques d'une inclusion pourraient être différentes de celles de la matrice. La technique de Muskhelishvili est utilisée. La solution repose sur deux ensembles de potentiels complexes convenables Φm(z), Ψm(z), Φi(z), Ψi(z) respectivement pour la mathce et l'inclusion, qui r solvent le problème. Es werden die elastischen Felder in einer elastischen kreisförmigen Einschliessung und umgebenden unendlichen zwei symmetrisch gelagerte Risse enthaltenden Matrize bestimmt, wenn die Matrize Lasten im Unendlichen unterliegt. In diesem Problem können die elastischen Eigenschaften der Einschliessung von denen der Matrize verschieden sein. Muskhelishvili's Methode wird verwendet. Die Lösung hängt von zwei Sätzen geeigneter komplexer Potentiale Φm(z), Ψm(z), Φi(z), Ψi(z) für Matrize bzw. Einschliessung ab, die das Problem lösen. Si determinano i campi elastici in un'inclusione circolare elastica e la matrice infinita circostante contenente due incrinature sistemate simmetricamente, quando la matrice è sottoposta a carichi all' infinito. In questo problems, le propriété elastiche dell'inclusione potrebbero essere diverse da quelle délia matrice. Si fa uso delia tecnica di Muskhelishvili. La soluzione dipende da due série di potenziale complessi idonei Φm(z), Ψm(z), Φi(z), Ψi(z) per la matrice e l'inclusione rispettivamente, il che risolve il problems. Oпpeдeлeны yпpyгиe пOля bO yпpyгиM, кpyгObыM bключeниeM и Oткpyжaющeй бec-кOнeчнOй Maтpицe, cOдepжaщeй дbe cиMMeтpичнO pacпOлOжeнныe тpeщины b cлyчae, кOгдa Maтpицa пOдbepжeнa нaгpyзкaM b бecкOнeчнOcтн. b этOй пpOблeMe bOзMOжнO paзличнe yпpyгич cbOйcтb bклю-чeния Oт тeч Maтpицы. ПpиMeнeн MeтOд Mycчeлишbили. peшeниe зabиcнт Oт дbyч cнcтeM пpигOдныч кOMплeкcныч пOтeнцнaлOb Φm(z), Ψm(z), Φi(z), Ψi(z), для Maтpицы и bключeния cOOтbeтcтbeннO, чтO peшит пpOблeMy." @default.
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- W1992138049 date "1973-04-01" @default.
- W1992138049 modified "2023-10-16" @default.
- W1992138049 title "Elastic circular inclusion in an infinite plane containing two cracks" @default.
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- W1992138049 doi "https://doi.org/10.1016/0020-7225(73)90060-8" @default.
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