Non-linear study of mode II fracture in four-point bending multilayered beams

Article type: Research Article

Authors: Rizov, V.

Affiliations: Department of Technical Mechanics, University of Architecture, Civil Engineering and Geodesy, 1 Chr. Smirnensky blvd., 1046 – Sofia, Bulgaria. E-mail: [email protected]

Abstract: This paper deals with a theoretical study of mode II longitudinal fracture behaviour of the Four-Point Bending (FPB) multilayered beam configuration. It was assumed that the mechanical response of the multilayered beam can be modelled by using a power-law stress-strain relation. The technical beam theory was applied in the analysis. The non-linear fracture was investigated by using the J-integral approach. Homogeneous as well as multilayered beam configurations were analyzed. Equations were derived for determination of the crack arm bending moments that are needed for the J-integral solution. The solutions obtained are valid for a longitudinal crack located arbitrary along the beam height. Also, each beam layer may have different material constants and thickness. The effects of the material constants and the crack location on the fracture were evaluated. The solutions derived are suitable for parametric analyses of non-linear fracture. The results obtained can be used for optimization of the multilayered beams with respect to their mode II fracture performance.

Keywords: Multilayered material, mode II longitudinal fracture, physical non-linearity, beam theory, analytical solution

DOI: 10.3233/SFC-160193

Journal: Strength, Fracture and Complexity, vol. 9, no. 4, pp. 233-249, 2015