Lamb's problem at its simplest | Zendy

Eduardo Kausel | Zendy

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Lamb's problem at its simplest

Author(s) -

Eduardo Kausel

Publication year - 2012

Publication title -

proceedings of the royal society a mathematical physical and engineering sciences

Language(s) - English

Resource type - Journals

eISSN - 1471-2946

pISSN - 1364-5021

DOI - 10.1098/rspa.2012.0462

Subject(s) - homogeneous , range (aeronautics) , mathematics , set (abstract data type) , point (geometry) , space (punctuation) , surface (topology) , mathematical analysis , poisson distribution , dipole , calculus (dental) , geometry , physics , computer science , combinatorics , engineering , medicine , statistics , dentistry , quantum mechanics , programming language , operating system , aerospace engineering

This article revisits the classical problem of horizontal and vertical point loads suddenly applied onto the surface of a homogeneous, elastic half-space, and provides a complete set of exact, explicit formulae which are cast in the most compact format and with the simplest possible structure. The formulae given are valid for the full range of Poisson's ratios from 0 to 0.5, and they treat real and complex poles alike, as a result of which a single set of formulae suffices and also exact formulae for dipoles can be given

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