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Three‐dimensional mixed‐mode (I and II) crack‐front fields in ductile thin plates — effects of T ‐stress
Author(s) -
Ding P.,
Wang X.
Publication year - 2017
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.12498
Subject(s) - materials science , stress field , bending , stress (linguistics) , mixed mode , radial stress , composite material , fracture (geology) , mode (computer interface) , tension (geology) , front (military) , structural engineering , ultimate tensile strength , deformation (meteorology) , finite element method , physics , engineering , linguistics , philosophy , computer science , operating system , meteorology
It has been well‐established that the non‐singular T ‐stress provides a first‐order estimate of geometry and loading mode (e.g. tension versus bending) effects on elastic–plastic crack‐front field under mode I loading conditions. The objective of this paper is to exam the T ‐stress effect on three‐dimensional (3D) crack‐front fields under mixed‐mode (modes I and II) loading. To this end, detailed 3D small strain, elastic–plastic simulations are carried out using a 3D boundary layer (small‐scale yielding) formulation. Characteristics of near crack‐front fields are investigated for a wide range of T ‐stresses ( T / σ 0 = −0.8, −0.4, 0.0, 0.4, 0.8). The plastic zones and thickness and angular and radial variations of the stresses are studied, corresponding to two values of the remote elastic mixity parameters M e = 0.3 and 0.7, under both low and high levels of applied loads. It is found that different T ‐stresses have a significant effect on the plastic zones size and shapes, regardless of the mode mixity and load level. The thickness, angular and radial distributions of stresses are also affected markedly by T ‐stress. It is important to include these effects when investigating the mixed‐mode ductile fracture failure process in thin‐walled structural components.