caa a22 4500 469124792 CHVBK 20180323133148.0 cr unu---uuuuu 170328e19921201xx s 000 0 eng 10.1007/BF00015618 doi (NATIONALLICENCE)springer-10.1007/BF00015618 Gao Huajian Division of Applied Mechanics, Stanford University, 94305, Stanford, California, USA aut Variation of elastic T -stresses along slightly wavy 3D crack fronts [Elektronische Daten] [Huajian Gao] The non-singular terms in the series expansion of the elastic crack-tip stress field, commonly referred to as the elastic T-stresses, play an important role in fracture mechanics in areas such as the stability of a crack path and the two-parameter characterization of elastic-plastic crack-tip deformation. In this paper, a first order perturbation analysis is performed to study some basic properties of the T-stress variation along a slightly wavy 3D crack front. The analysis employs important properties of Bueckner-Rice 3D weight function fields. Using the Boussinesq-Papkovitch potential representation for the mode I weight function field, it is shown that, for coplanar cracks in an infinite isotropic and homogeneous linear elastic body, the mean T-stress along an arbitrary crack front is independent of the shape and size of the crack. Further, a universal relation is discovered between the mean T-stress and the stress field at the same crack front location under the same loading but in the absence of a crack. First-order-accurate solutions are given for the T-stress variation along a slightly wavy crack front with nearly circular or straight confifurations. Specifically, cosine wave functions are adopted to describe smooth polygonal and slightly undulating planar crack shapes. The results indicate that T 11, the 2D T-stress component acting normal to the crack front, increases with the curvature of the crack front as it bows out but T 33, acting parallel to the crack front, decreases with the crack front curvature. Kluwer Academic Publishers, 1992 International Journal of Fracture Kluwer Academic Publishers 58/3(1992-12-01), 241-257 0376-9429 58:3<241 1992 58 10704 https://doi.org/10.1007/BF00015618 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00015618 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Gao Huajian Division of Applied Mechanics, Stanford University, 94305, Stanford, California, USA aut NATIONALLICENCE 773 0- International Journal of Fracture Kluwer Academic Publishers 58/3(1992-12-01), 241-257 0376-9429 58:3<241 1992 58 10704 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer