Lengthwise Cracks in Functionally Graded Beams Exhibiting Non-Linear Mechanical Behaviour of the Material

2018 5th International Conference on Advanced Materials, Mechanics and Structural Engineering

材料科学;机械制造;土木建筑工程

Rizov, V.^1

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

1046, Bulgaria^1

关键词: Beam widths;    Four point bending;    Fracture analysis;    Functionally graded;    Functionally graded beams;    Material non-linearity;    Mechanical behaviour;    Ramberg-osgood equations;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/473/1/012001/pdf
DOI  :  10.1088/1757-899X/473/1/012001

来源: IOP

【 摘 要 】

The present paper deals with lengthwise fracture analysis of functionally graded four-point bending beams. The Ramberg-Osgood equation is used for treating the material nonlinearity. A lengthwise crack located arbitrary along the beam width is studied. A solution to the strain energy release rate is derived. It is assumed that the modulus of elasticity varies exponentially along the beam width. The J-integral is applied for verification. The approach developed is a useful tool for assessing the influence of material non-linearity on the lengthwise fracture in functionally graded beams.