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Stress and couple stress in a layered half plane with surface loading
Author(s) -
Mühlhaus HansBernd
Publication year - 1990
Publication title -
international journal for numerical and analytical methods in geomechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.419
H-Index - 91
eISSN - 1096-9853
pISSN - 0363-9061
DOI - 10.1002/nag.1610140803
Subject(s) - bending moment , materials science , modulus , shear modulus , stiffness , structural engineering , stress (linguistics) , shear stress , surface (topology) , plane stress , shear (geology) , plane (geometry) , geometry , mechanics , composite material , mathematics , finite element method , engineering , physics , linguistics , philosophy
In this paper the stress and moment stress distribution in a periodically layered half plane due to an arbitrary surface loading are derived. The bending stiffness of each layer is considered within the framework of Cosserat's continuum theory. Special emphasis is given to the case when the shear modulus of the one type of layer is much smaller than that of an adjacent layer. Results are illustrated for the case of a strip loading.