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On the theory of stress concentration for shear‐strained prismatical bodies with a non‐linear stress‐strain law
Author(s) -
Clements D. L.,
Rogers C.
Publication year - 1975
Publication title -
mathematika
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.955
H-Index - 29
eISSN - 2041-7942
pISSN - 0025-5793
DOI - 10.1112/s0025579300004472
Subject(s) - mathematics , shear stress , cauchy–riemann equations , stress (linguistics) , cauchy distribution , strain (injury) , shear (geology) , mathematical analysis , mechanics , physics , materials science , composite material , medicine , linguistics , philosophy
The system of equations governing the stress in a shear‐strained prismatical body are examined and it is shown that, provided the stress‐strain law adopts certain multi‐parameter forms, the system may be reduced to the Cauchy‐Riemann equations. Integration of the system is then immediate and the analysis of the stress concentration round certain notches thereby facilitated.