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- W2051688476 abstract "A solution of the axisymmetric Boussinesq problem is obtained, for a homogeneous and isotropic semi-space, from which are deduced simple formulae for the depth of penetration of the tip of a punch of arbitrary profile and the total load and torque which must be applied to the punch to achieve this penetration. Simple expressions are also deduced for the distribution of pressure and couple stress under the punch. Particular results are derived for cylindrical and conical punch shapes. Une solution du probléme á symétrie axiale de Boussinesq est obtenue, pour un demi espace homogéne et isotrope; á partir de celle-ci des formules simples sont déduites pour la profondeur de pénétration de l'extrémité d'un poinçon de profil arbitraire et pour la charge et le couple totaux qui doivent être apphqués au poinçon de profil arbitraire et pour la charge et le couple totaux qui doivent être appliqués au poinçon pour obtenir cette pénétration. Des expressions simples sont également déduites pour la distribution des contraintes dues á la pression et au couple sous l'effet du poinçon. Des résultats en sont déduits pour des cal particuliers de profils cylindriques et coniques du poinçon. Für einen homogenen und isotropen Halbraum wird eine Lösung des achsensymmetrischen Boussinesq-Problemes erhalten, aus der einfache Formeln für die Durchdringungstiefe eines Stempels willkürlichen Profiles, und der Gesamtlast und des Gesamtdrehmomentes abgeleitet werden, die auf den Stempel angewandt werden müssen, um diese Durchdringung zu erzielen. Es werden auch einfache Ausdrücke für die Verteilung von Druck und Kräftepaarspannung unter dem Stempel abgeleitet. Spezielle Resultate werden für zylindrische und konische Stempelformen erhalten. L'articolo offre una soluzione del problema assisimmetrico di Boussinesq, per un semispazio omogeneo ed isotropico, da cui si deducono demplici formule (1) per la profonditá di penetrazione della punta di un punzone con profilo arbitrario e (2) per il carico ed il momento torcente totali che debbono venir applicate al punzone per ottenere questa penetrazione. Si deducono inoltre semplici expressioni per la distribuzione delle sollectiazioni sotto il punzone dovute alla pressione e alla coppia. Vengono derivate formule particolari per punzone cilindrici e conici. Пoлyчeнo peшeниe ocecиммeтpичнoй пpoблeмы Бyccинecкa для oднopoднoгo изoтpoпичecкoгo пoлyпpocтpaнcтвa, вывeдeны пpocтыe фopмyлы для глyбины пpoникнoвeния кoнцa пyaнcoнa пpoизвoльнoгo пpoфиля, cyммapнoй нaгpyзки и кpyтящeгo мoмeнтa, кoтopыe нyжнo пpимeнить к пyaнcoнy, чтoбы ocyщecтвлять дaннoe пpoннкнoвeниe. Bывeдeны и пpocтыe выpaжeния для pacпpeдeлeния дaвлeния и нaпpяжeния oт cвязи пoд пyaнcoнoм. Для пyaнcoнoв цилиндpичecкoй или кoнycнoй кoнфигypaции пoлyчeны чacтныe peзyльтaты." @default.
- W2051688476 created "2016-06-24" @default.
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- W2051688476 date "1973-11-01" @default.
- W2051688476 modified "2023-10-18" @default.
- W2051688476 title "The axisymmetric Boussinesq problem for a semi-space in couple-stress theory" @default.
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- W2051688476 doi "https://doi.org/10.1016/0020-7225(73)90082-7" @default.
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