Non-linear analysis of double cantilever beam

Article type: Research Article

Authors: Rizov, V.^{; *}

Affiliations: Department of Technical Mechanics, University of Architecture, Civil Engineering and Geodesy, Sofia, Bulgaria

Correspondence: [*] Address for correspondence: V. Rizov, Department of Technical Mechanics, University of Architecture, Civil Engineering and Geodesy, 1 Chr. Smirnensky blvd., 1046 Sofia, Bulgaria. Tel.: +359 2 963 52 45, int. 664; Fax: +359 2 86 56 863; E-mail: [email protected].

Abstract: Non-linear fracture analysis of the Double Cantilever Beam (DCB) specimen is performed by using the J-integral approach. For this purpose, methods of Mechanics of materials are applied. Closed form analytical solutions of the J-integral are obtained by using two non-linear beam models (ideally elastic–plastic model and model with linear hardening). It is assumed that the material has the same properties in tension and compression. The fracture behaviour is analyzed at each typical stress level in the DCB in the process of increasing of the external load. The influence of the material non-linearity on the fracture behaviour is discussed. The effect of slope of the stress–strain curve in the portion with linear hardening on the fracture behaviour is evaluated. The analysis revealed that the J-integral value increases when the slope increases. The analytical approach developed in the present paper is very useful for parametric analyses, since the simple formulae derived capture the fundamentals of non-linear fracture in the DCB configuration.

Keywords: Non-linear fracture, J-integral, beam theory, analytical solution

DOI: 10.3233/SFC-150186

Journal: Strength, Fracture and Complexity, vol. 9, no. 2, pp. 149-160, 2015