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Boussinesq problem of plane micropolar elasticity
Author(s) -
Korman T.,
Goldberg J. E.,
Morghem F.,
Baluch M. H.
Publication year - 1974
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620080105
Subject(s) - plane stress , finite element method , plane (geometry) , stiffness , elasticity (physics) , boundary value problem , stiffness matrix , mathematical analysis , mathematics , matrix (chemical analysis) , geometry , mechanics , structural engineering , physics , materials science , engineering , composite material
This paper deals with a finite element formulation and solution of the boundary value problem of a concentrated force acting on a semi‐infinite micropolar solid. A stiffness matrix is derived for a flat micropolar rectangular element in a plane state and use is made of this element to solve the case of the semi‐infinite micropolar solid both in a state of plane stress and plane strain. An immediate application of the plane strain case is the important practical problem of a long line load acting on a soil mass which may be simulated as a micropolar body.