On the non-linear fracture behaviour of porous zirconia ceramics

1993 ◽  
Vol 12 (13) ◽  
pp. 1035-1036 ◽  
Author(s):  
S. M. Barinov
Keyword(s):  
Fracture Behaviour ◽  
Zirconia Ceramics ◽  
Linear Fracture ◽  
Porous Zirconia ◽  
Non Linear

scholarly journals Analytical Study of Elastic-Plastic Fracture in the Crack-Lap Shear Multilayered Beam Configuration

2018 ◽  
Vol 48 (4) ◽  
pp. 61-77
Author(s):  
Victor Rizov
Keyword(s):  
Analytical Study ◽  
Mechanical Response ◽  
Fracture Behaviour ◽  
Stress Strain ◽  
Lap Shear ◽  
Linear Fracture ◽  
Strain Relation ◽  
Stress Strain Relation ◽  
Non Linear ◽  
Multilayered Beam

Abstract This paper reports an analytical study of delamination fracture in the Crack-Lap Shear (CLS) multilayered beam configuration with taking into account the material non-linearity. A delamination crack was located arbitrary along the beam height. It was assumed that the CLS mechanical response can be described by using a power-law stress-strain relation. It should be mentioned that each layer may have different material constants in the stress-strain relation. Besides, the thickness of each layer may be different. The classical beam theory was applied in the present study. The non-linear fracture behaviour was analyzed by the J-integral. Analytical solutions of the J-integral were obtained for homogeneous as well as for multilayered CLS beams. In order to verify the solutions obtained, analyses of the strain energy release rate were developed with considering material non-linearity. Material properties and crack location effects on the non-linear fracture behaviour were investigated. The analysis revealed that the J-integral value increases when the material non-linearity is taken into account. It was found also that the J-integral value decreases with increasing the lower crack arm thickness. The approach developed here is very convenient for parametric fracture analyses. The solutions derived can be used for optimization of the CLS multilayered beams with respect to their fracture performance.

Non-linear study of delamination cracks in multilayered beams

2016 ◽  
Vol 12 (4) ◽  
pp. 678-692
Author(s):  
Victor Rizov
Keyword(s):  
Analytical Solutions ◽  
Fracture Behaviour ◽  
Fracture Analysis ◽  
Stress Strain ◽  
Content Type ◽  
Material Constants ◽  
Linear Fracture ◽  
Delamination Fracture ◽  
Non Linear ◽  
Multilayered Beam

Purpose The purpose of this paper is to deal with an analytical investigation of delamination fracture in the mixed-mode bending (MMB) multilayer beam configurations taking into account the material non-linearity. Design/methodology/approach The J-integral approach was applied in fracture analysis. The beam layers non-linear mechanical response was described by using a power-law stress-strain relation with four material constants. Analytical solutions of the J-integral were derived by using the technical beam theory. The fracture analysis developed is valid for MMB beams whose layers may have different thicknesses. Also, the values of material constants in the non-linear stress-strain equation may be different for each layer. Findings The effect of material constants, crack location and layer thicknesses on the non-linear fracture was evaluated. The analytical solutions obtained are very suitable for parametric studies of non-linear fracture behaviour. The approach developed here can be used for optimization of multilayered beam structures with respect to the delamination fracture performance. The present study can also be useful for the understanding of fracture in multilayered beams exhibiting material non-linearity. Originality/value For the first time, an analytical study was performed of the delamination fracture behaviour of the MMB multilayered beam configuration taking into account the material non-linearity.

Mode II Fracture of Functionally Graded Beams Exhibiting Material Non-Lynearity

2017 ◽  
Vol 863 ◽  
pp. 317-322
Author(s):  
Victor Iliev Rizov
Keyword(s):  
Strain Energy Release ◽  
Functionally Graded ◽  
Integral Approach ◽  
Mode Ii ◽  
Graded Materials ◽  
Mode Ii Fracture ◽  
Crack Location ◽  
Linear Fracture ◽  
Non Linear ◽  
Beam Height

A non-linear analysis of the mode II fracture in functionally graded materials was developed by using a beam configuration with two longitudinal cracks located symmetrically with respect to the centroid. The beam mechanical behaviour was described by a non-linear stress-strain relation. The non-linear fracture was studied by the J-integral approach. An analysis of the strain energy release rate was conducted with considering the material non-linearity in order to verify the J-integral non-linear analytical solution derived. The solution obtained is very convenient for parametric studies of mode II fracture in functionally graded beams exhibiting material non-linearity. The effects of material properties and crack location along the beam height on the non-linear fracture were evaluated. The results can be used for optimization of the beam structures with respect to the fracture performance.

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