Inhomogeneous Beams with Different Behaviour in Tension and Compression:A Longitudinal Crack Study
V. I. Rizov
University of Architecture, Civil Engineering and Geodesy, Sofia, 1046, Bulgaria
Keywords: неоднородная балка, нелинейный материал, продольная трещина, аналитическое исследование, inhomogeneous beam, material nonlinearity, longitudinal crack, analytical study
Abstract
An approach for investigating the strain energy release rate for longitudinal cracks in nonlinear elastic inhomogeneous beams is derived. The Ramberg-Osgood stress-strain relation is applied to describe the unsymmetrical mechanical behaviour of the material with respect to tension and compression. It is assumed that the beams have continuous material inhomogeneity in the height direction. Cracks can be located arbitrarily along the beam height. The approach is applied to investigate a longitudinal crack in a cantilever beam. The J-integral is used for verification of the solution.
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