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.

Delamination analysis of a layered elastic-plastic beam

2017 ◽  
Vol 8 (5) ◽  
pp. 516-529 ◽  
Author(s):  
Victor Rizov
Keyword(s):  
Fracture Behaviour ◽  
Strain Curve ◽  
Integral Approach ◽  
Stress Strain Curve ◽  
Stress Strain ◽  
Content Type ◽  
Elastic Plastic ◽  
Lap Shear ◽  
Delamination Fracture ◽  
Non Linear

Purpose The purpose of this paper is to perform a theoretical analysis of delamination fracture behaviour of the Crack Lap Shear layered beam configuration taking into account the material non-linearity. A delamination crack located arbitrarily along the beam height was considered in this study. Design/methodology/approach The beam mechanical behaviour was described by using the Ramberg-Osgood stress-strain relation. Fracture was analysed by applying the J-integral approach. Besides by using symmetric Ramberg-Osgood stress-strain curve, fracture was investigated also by Ramberg-Osgood stress-strain curve that is not symmetric with respect to tension and compression. The J-integral solutions were verified by performing elastic-plastic analyses of the strain energy release rate. Findings The effects of crack location and material properties on the non-linear fracture behaviour were evaluated. It was found that the material non-linearity leads to increase of the J-integral values. Therefore, the material non-linearity has to be taken into account in fracture mechanics based safety design of structural members composed by layered materials. The analytical solutions derived are very useful for parametric investigations of delamination fracture with considering the material non-linearity. The results obtained can be applied for optimisation of the beam structure with respect to fracture performance. Originality/value The present study contributes for the understanding of delamination fracture in layered beams that exhibit non-linear material behaviour.

Finite Element Analysis of Adhesive-Bonded Single-Lap Joints

2002 ◽  
Author(s):  
Charles Yang ◽  
Zhidong Guan ◽  
John S. Tomblin ◽  
Wenjun Sun
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Lap Joints ◽  
Test Method ◽  
Stress Strain ◽  
Element Analysis ◽  
Lap Shear ◽  
Strain Relation ◽  
Stress Strain Relation ◽  
Tension Loading

Finite element analyses were conducted using commercial software ABAQUS to analyze the mechanical behavior of single-lap adhesive-bonded joints. Adhesive was characterized for the stress-strain relation by comparing the apparent shear-strain relations obtained from finite element analysis and experiments following ASTM D 5656 “Standard Test Method for Thick-Adherend Metal Lap-Shear Joints for Determination of the Stress-Strain Behavior of Adhesives in Shear by Tension Loading.” With the established stress-strain relation, two failure criteria using equivalent plastic strain and J-integral were used to predict the failure load for joint specimens following ASTM D 5656 and ASTM D 3165 (Strength Properties of Adhesives in Shear by Tension Loading of Single-Lap-Joint Laminated Assemblies), respectively. Bondline thicknesses of 0.013”, 0.04”, 0.08”, and 0.12” were used in the investigation. Good correlation was found between the finite element results and the experimental results.

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