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An interpretation and modification of the SWT function
Author(s) -
Kujawski Daniel
Publication year - 2021
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.13488
Subject(s) - strain energy density function , function (biology) , total energy , mean value , stress (linguistics) , energy (signal processing) , energy density , mathematics , interpretation (philosophy) , materials science , statistics , structural engineering , physics , engineering , computer science , finite element method , psychology , linguistics , philosophy , evolutionary biology , theoretical physics , displacement (psychology) , psychotherapist , biology , programming language
In this paper, a new interpretation and modification of the SWT function in terms of the total damaging energy density are proposed and discussed. The total damaging energy density is the sum of the damaging part of the strain energy density and complementary energy density corresponding to the first quadrant in damaging σ D ‐ε D axes. For cyclic loading with a positive mean stress ( σ m ≥ 0), the proposed function reduces to the original SWT formulation. For cyclic loading with a negative mean stress ( σ m < 0), the maximum stress is augmented by 1/3 of absolute value of the mean stress. The proposed approach shows a consistent correlation of the mean stress effects for both positive and negative mean stresses.