A numerical method for evaluation of J-integral in plates made of functionally graded materials with sharp and blunt V-notches

• Published in: Fatigue & fracture of engineering materials & structures Vol. 34; no. 12; pp. 1041 - 1052
• Main Authors: BARATI, E., ALIZADEH, Y.
• Format: Journal Article
• Language: English
• Published: Oxford, UK Blackwell Publishing Ltd 01.12.2011; Blackwell; Wiley Subscription Services, Inc
• Subjects: Applied sciences; Exact sciences and technology; Fatigue failure; FGM; Fracture mechanics; Functionally gradient materials; J integral; Load; Materials science; Mathematical models; Mechanical properties and methods of testing. Rheology. Fracture mechanics. Tribology; Metals. Metallurgy; Numerical analysis; numerical method; Plates; V-notch; J integral; J-integral; Investigation method; V-notch; Functionnally graded material; numerical method; Mechanical properties; FGM; Composite material; Concentration gradient
• ISSN: 8756-758X; 1460-2695
• DOI: 10.1111/j.1460-2695.2011.01593.x

ABSTRACT The main purpose of the paper is to propose a numerical method for evaluation of J‐integral in plates made of functionally graded materials (FGM) with sharp and blunt V‐notches under Mode I loading. The material properties have been assumed to be varied exponentially along the specimen width (notch direction). Using the proposed method, the effect of material gradient on the J‐integral for two cases of sharp and blunt V‐notches has been studied. The results have shown that in FGMs with sharp V‐notches, the J‐integral is not proportional to . So, the parameter JL is path dependent. It has been observed that the material gradient has larger effect on the J‐integral in sharp V‐notch compared with that in blunt V‐notch.