caa a22 4500 475797175 CHVBK 20180406123727.0 cr unu---uuuuu 170329e20000701xx s 000 0 eng 10.1007/s000330050018 doi (NATIONALLICENCE)springer-10.1007/s000330050018 Spencer A. J. M. Division of Theoretical Mechanics, School of Mathematical Sciences, University of Nottingham, Nottingham NG7 2RD, UK, UK aut Concentrated force solutions for an inhomogeneous thick elastic plate [Elektronische Daten] [A. J. M. Spencer] Abstract.: The technique developed in refs. [1-5] is applied to the problem of a concentrated line force acting in the interior of an infinite plate. The plate is of arbitrary thickness, is isotropic, but is inhomogeneous in that the elastic moduli are any specified functions, not necessarily continuous, of the through-thickness coordinate. The mechanical properties of the plate are not necessarily symmetric about the mid-surface. The solution is based on the classical solution for a concentrated force in a thin elastic plate. This classical solution is extended to give exact closed form solutions for the displacement and stress in the thick inhomogeneous plate. For a plate that is not symmetric an in-plane force gives rise to bending as well as stretching deformations. Higher order force singularities are also considered, as is the problem of a concentrated force on the boundary of a semi-infinite symmetric plate. Birkhäuser Verlag, Basel,, 2000 Key words. Elastic plates, inhomogeneous material, concentrated forces nationallicence https://doi.org/10.1007/s000330050018 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s000330050018 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Spencer A. J. M. Division of Theoretical Mechanics, School of Mathematical Sciences, University of Nottingham, Nottingham NG7 2RD, UK, UK aut Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer