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Coupled Systems Mechanics
  Volume 8, Number 5, October 2019 , pages 377-391
DOI: https://doi.org/10.12989/csm.2019.8.5.377
 

On the analysis of delamination in multilayered inhomogeneous rods under torsion
Victor I. Rizov

 
Abstract
    The present paper is focused on analyzing the delamination of inhomogeneous multilayered rods of circular cross-section loaded in torsion. The rods are made of concentric longitudinal layers of individual thickness and material properties. A delamination crack is located arbitrary between layers. Thus, the internal and external crack arms have circular and ring-shaped cross-sections, respectively. The layers exhibit continuous material inhomogeneity in radial direction. Besides, the material has non-linear elastic behavior. The delamination is analyzed in terms of the strain energy release rate. General solution to the strain energy release rate is derived by considering the energy balance. The solution is applied to analyze the delamination of cantilever rod. For verification, the strain energy release rate is derived also by considering the complementary strain energy.
 
Key Words
    multilayered rod; torsion; delamination; material non-linearity; inhomogeneous material
 
Address
Victor I. Rizov: Department of Technical Mechanics, University of Architecture, Civil Engineering and Geodesy,
1 Chr. Smirnensky blvd., 1046 – Sofia, Bulgaria
 

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