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ANALYSIS OF FREE‐EDGE STRESS AND DISPLACEMENT FIELDS IN SCARF JOINTS SUBJECTED TO A UNIFORM CHANGE IN TEMPERATURE
Author(s) -
Qian ZQ,
Akisanya AR
Publication year - 1998
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 - 10.1046/j.1460-2695.1998.00041.x
Subject(s) - extrapolation , singularity , joint (building) , stress intensity factor , displacement (psychology) , enhanced data rates for gsm evolution , mathematical analysis , stress (linguistics) , materials science , stress field , finite element method , displacement field , constant (computer programming) , mathematics , geometry , structural engineering , composite material , fracture mechanics , engineering , psychology , telecommunications , linguistics , philosophy , computer science , psychotherapist , programming language
The role of free‐edge stresses in controlling the initiation of failure from the interface corner of a scarf joint subjected to a uniform change in temperature is examined. In general, the stress field can be expressed by σ ij = Hr λ −1 + σ ij 0 , where r is the radial distance from the interface corner, λ − 1 is the order of the stress singularity, H is the intensity of the singularity, and σ ij 0 is a non‐singular constant stress. A combination of the finite element method and a path‐independent integral is used to evaluate the magnitude of H for two joint configurations: (i) a scarf joint between two long bi‐material strips; and (ii) a scarf joint consisting of a thin elastic layer sandwiched between two substrates. The magnitude of H is linearly dependent on a non‐dimensional constant function a; the magnitude of a decreases with increasing level of mismatch in the elastic properties of the bonded materials. A comparison between the values of H evaluated by the path‐independent integral method and the commonly used extrapolation method indicate that the extrapolation method could be in error by as much as 25%.