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Nonlinear mode III crack stress fields for materials obeying a modified Ramberg‐Osgood law
Author(s) -
Zappalorto M.,
Maragoni L.
Publication year - 2018
Publication title -
fatigue and fracture of engineering materials and structures
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.887
H-Index - 84
eISSN - 1460-2695
pISSN - 8756-758X
DOI - 10.1111/ffe.12730
Subject(s) - antiplane shear , nonlinear system , power law , materials science , structural engineering , strain hardening exponent , stress (linguistics) , work (physics) , shear (geology) , work hardening , mechanics , law , fracture mechanics , stress intensity factor , engineering , composite material , mathematics , physics , mechanical engineering , microstructure , linguistics , statistics , philosophy , quantum mechanics , political science
In this paper, an analytical study is carried out on the work‐hardening, elastic‐plastic stress distributions in a cracked body under antiplane shear deformation. A modified Ramberg‐Osgood law is introduced to describe the material behaviour, and stress and strain fields are derived in closed form. Compared with the conventional Ramberg‐Osgood formulation, the new law includes the effect of a new parameter, κ , which allows the transition from the ideally elastic behaviour (low stress regime) to the power law behaviour (large stress regime) to be controlled, thus providing 1 more degree of freedom to better fit the actual behaviour of engineering materials. A discussion is carried out on the features of stresses and strains close to and far away from the crack tip.