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The rigid inclusion with highest penetration

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Abstract

A cylindrical bounded rigid inclusion with cross section of bounded area and variable shape is embedded in an infinite elastic medium. Assuming that the cross section possesses an axis of symmetry and that it is pushed into the medium by a force acting in the direction of this axis, the question arises of finding the section's profile for which penetration is highest. A solution is found only for two particular classes of domains in plane elasticity.

Sommario

Un'inclusione clinidrica rigida con sezione trascersale di area limitata e forma variabile è immersa in un mezzo elastico infinito. Avendo supposto che la sezione possegga un asse di simmetria e che sia spinta nel mezzo da una forza agent secondo tale asse, si pone il problema di trovare il profilo della sezione per cui è massima la penetrazione. Una risposta si può dare solo per due classi particolari di domini in elasticità piana.

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Authors and Affiliations

  1. Istituto di Scienza delle Costruzioni, Universitá di Pisa, Via Diotisalvi 2, 56126, Pisa, Italy

    Piero Villaggio

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  1. Piero Villaggio
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Villaggio, P. The rigid inclusion with highest penetration. Meccanica 26, 149–153 (1991). https://doi.org/10.1007/BF00429882

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  • DOI: https://doi.org/10.1007/BF00429882

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