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Corner point singularities under in-plane and out-of-plane loading: a review of recent results

The linear elastic analysis of homogeneous, isotropic cracked bodies started in the 1900s. The existence of three dimensional corner point effects in the vicinity of a corner point where a crack front intersects a free surface was investigated in the late 1970s. An approximate solution by Bažant and Estenssoro explained some features of corner point effects but there were various paradoxes and inconsistencies. | Corner point singularities under in-plane and out-of-plane loading a review of recent results Engineering Solid Mechanics 2017 167-176 Contents lists available at GrowingScience Engineering Solid Mechanics homepage www.GrowingScience.com esm Corner point singularities under in-plane and out-of-plane loading a review of recent results F. Bertoa Les P. Pookb and A. Campagnoloc a Department of Mechanical Engineering NTNU Trondehim Norway b 21 Woodside Road Sevenoaks TN13 3HF United Kingdom c Department of Industrial Engineering University of Padova Via Venezia 1 35131 Padova Italy A R T I C L EI N F O ABSTRACT Article history The linear elastic analysis of homogeneous isotropic cracked bodies started in the 1900s. The Received 6 March 2017 existence of three dimensional corner point effects in the vicinity of a corner point where a Accepted 12 June 2017 crack front intersects a free surface was investigated in the late 1970s. An approximate solution Available online by Bažant and Estenssoro explained some features of corner point effects but there were 12 June 2017 Keywords various paradoxes and inconsistencies. Results derived from finite element models showed that Finite elements the analysis is incomplete. The stress field in the vicinity of a corner point appears to be the Mixed modes sum of two different singularities i.e. stress intensity factors and corner point singularities . In Coupled modes this paper some recent results for the corner point singularities under in and out of plane Stress intensity factors loadings is reviewed and discussed. Corner point singularities 2017 Growing Science Ltd. All rights reserved. 1. Introduction The linear elastic analysis of homogeneous isotropic cracked bodies is a Twentieth Century development Pook 2013 2015 with the first papers appearing in 1907 but it was not until the introduction of the stress intensity factor concept in 1957 Williams 1957 that widespread application of linear elastic fracture mechanics LEFM to .