Non-linear delamination fracture analysis by using power-law hardening

Victor Iliev Rizov (Department of Technical Mechanics, University of Architecture, Civil Engineering and Geodesy, Sofia, Bulgaria)

Multidiscipline Modeling in Materials and Structures

ISSN: 1573-6105

Publication date: 13 June 2016



The purpose of this paper is to perform a theoretical analysis of non-linear delamination fracture in cantilever beam opened notch (CBON) configuration. It is assumed that the non-linear mechanical behavior of the CBON can be described by using a stress-strain curve with power-law hardening.


The fracture analysis is carried-out by applying the integration contour independent J-integral. For this purpose, a model based on the technical beam theory is used. Equation is derived for determination of the CBON specimen curvature in elastic-plastic stage of deformation. The equation is solved by using the MatLab program system. Solutions of the J-integral are obtained at linear-elastic as well as elastic-plastic behavior of the CBON. The influence of the power-law exponent on the non-linear fracture is evaluated.


The analysis reveals that the J-integral value increases when the exponent of the power-law increases. The solution obtained here is very useful for parametric analyses of the non-linear fracture behavior, since the simple formulas derived capture the essentials of the fracture response.

Practical implications

Beside for parametric investigations, the solution obtained here can also be applied for calculating the critical J-integral value at non-linear behavior using experimentally determined critical fracture load at the onset of crack growth from the initial crack tip position in the CBON configuration.


An analysis is performed of the non-linear fracture in the CBON configuration by applying the J-integral approach, assuming that the mechanical response can be modeled using a stress-strain curve with power-law hardening.



Rizov, V.I. (2016), "Non-linear delamination fracture analysis by using power-law hardening", Multidiscipline Modeling in Materials and Structures, Vol. 12 No. 1, pp. 80-92.

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