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Journal of Applied Mechanics and Technical Physics

2018 year, number 1

Delamination in a Two-Dimensional Functionally Graded Beam

V. I. Rizov
University of Architecture, Civil Engineering and Geodesy, Sofia, 1046, Bulgaria
Keywords: балка, функционально-градиентный материал, линейная механика разрушения, аналитическое решение, functionally graded beam, linear-elastic fracture mechanics, analytical approach

Abstract

An analytical study of delamination in the crack lap shear beam is performed. It is assumed that the material is functionally graded along the width and height of the beam. Delamination is studied in terms of the total strain energy release rate by applying methods of linear-elastic fracture mechanics. An additional analysis of the total strain energy release rate is performed by considering the strain energies in the beam cross sections ahead of and behind the crack front for verification. The effects of the crack location and material gradient on delamination are evaluated.