Strain Energy Release Rate Determination in the Case of Mode II Crack in Overhanging Bilayered Composite Beam

2013 ◽  
Vol 43 (3) ◽  
pp. 87-96
Author(s):  
Victor I. Rizov ◽  
Angel S. Mladensky
Keyword(s):  
Energy Release Rate ◽  
Energy Release ◽  
Release Rate ◽  
Composite Beam ◽  
Strain Energy ◽  
Strain Energy Release Rate ◽  
Rectangular Cross Section ◽  
Strain Energy Release ◽  
Mode Ii ◽  
Mode Ii Crack

Abstract Mode II crack in overhanging bilayered composite beam is investigated. The beam has rectangular cross-section and is made by two unidirectional fiber reinforced composites. The formula for strain energy release rate, G, is obtained by linear elastic fracture mechanics compliance technique. The validity of the expression derived is established by comparison with solution for G in which the internal forces in front and behind the crack tip are used. The influence of the two layers moduli of elasticity ratio on the strain energy release rate is investigated. The dependence among the strain energy release rate and the ratio of the lengths of the overhang beam part and the beam span is also analyzed.

Analysis of Mixed Mode II/III Crack in Bilayered Composite Beam

2012 ◽  
Vol 42 (4) ◽  
pp. 41-52 ◽  
Author(s):  
Angel S. Mladensky ◽  
Victor I. Rizov
Keyword(s):  
Energy Release Rate ◽  
Energy Release ◽  
Release Rate ◽  
Composite Beam ◽  
Mixed Mode ◽  
Strain Energy ◽  
Strain Energy Release Rate ◽  
Strain Energy Release ◽  
Mode Ii ◽  
Applied Forces

Abstract Mixed mode II/III crack investigation in cantilever bilayered unidirectional fiber reinforced composite beam is reported. The crack is situated between the layers. The two crack arms have different widths. Formula for the strain energy release rate is obtained by the linear elastic fracture mechanics methods using the magnitude of the applied forces, geometrical characteristics of the cross-section, and the elastic moduli of the layers. An equivalent shear modulus of the un-cracked beam portion is used. Several diagrams illustrating the results of parametrical analysis of the strain energy release rate are presented. The paper is a part of a research in the field of fracture behaviour of composite beams.

Analysis of Mode II Crack in Bilayered Composite Beam

2012 ◽  
Vol 42 (2) ◽  
pp. 67-78 ◽  
Author(s):  
Victor Rizov ◽  
Angel Mladensky
Keyword(s):  
Fracture Mechanics ◽  
Energy Release Rate ◽  
Release Rate ◽  
Composite Beam ◽  
Strain Energy ◽  
Strain Energy Release Rate ◽  
Strain Energy Release ◽  
Composite Beams ◽  
Mode Ii ◽  
Mode Ii Crack

Analysis of Mode II Crack in Bilayered Composite Beam Mode II crack problem in cantilever bilayered composite beams is considered. Two configurations are analyzed. In the first configuration the crack arms have equal heights while in the second one the arms have different heights. The modulus of elasticity and the shear modulus of the beam un-cracked part in the former case and the moment of inertia in the latter are derived as functions of the two layers characteristics. The expressions for the strain energy release rate, G are obtained on the basis of the simple beam theory according to the hypotheses of linear elastic fracture mechanics. The validity of these expressions is established by comparison with a known solution. Parametrical investigations for the influence of the moduli of elasticity ratio as well as the moments of inertia ratio on the strain energy release rate are also performed. The present article is a part of comprehensive investigation in Fracture mechanics of composite beams.

Analysis of mixed-mode II/III fracture in sandwich beams

2015 ◽  
Vol 11 (1) ◽  
pp. 75-87 ◽  
Author(s):  
Victor Rizov
Keyword(s):  
Energy Release Rate ◽  
Energy Release ◽  
Release Rate ◽  
Mixed Mode ◽  
Strain Energy ◽  
Strain Energy Release Rate ◽  
Strain Energy Release ◽  
Mode Ii ◽  
Foam Core ◽  
Content Type

Purpose – The purpose of this paper is to study theoretically the ability of the prestressed foam core composite sandwich Split Cantilever Beam (SCB) for generating mixed-mode II/III crack loading conditions (the mode II fracture was provided by prestressing the beam using imposed transverse displacements). Design/methodology/approach – The concepts of linear-elastic fracture mechanics were used. The fracture behavior was studied in terms of the strain energy release rate. For this purpose, a three-dimensional finite element model of the prestressed sandwich SCB was developed. The virtual crack closure technique was applied in order to analyze the strain energy release rate mode components distribution along the crack front. Findings – It was found that the distribution is non-symmetric. The analysis revealed that a wide mixed-mode II/III ratios range can be generated by varying the magnitude of the imposed transverse displacement. The influence of the sandwich core material on the mixed-mode II/III fracture behavior was investigated. For this purpose, three sandwich beam configurations with different rigid cellular foam core were simulated. It was found that the strain energy release rate decreases when the foam core density increases. Originality/value – For the first time, a mixed-mode II/III fracture study of foam core composite sandwich beam is performed.

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