Mathematical modelling of the interface crack. A new improved numerical method

Adhesive bonding of two different materials appears in many modern engineering applications, e.g.: airplanes, boats, cars etc. In many practical problems the adhesive bonding is subjected to shear loading. Therefore this is important to investigate the whole deformation process of the considered type of joints under monotonic loading, to get information about the shear strength and strain concentrations. Such concentrations lead to microdefects initiation and their further coalescence to create a main crack. The unstable crack propagation leads to final failure of the adhesive joint. The Digital Image Correlation (DIC) System - ARAMIS allows for constant monitoring of the deformation state up to the final failure. The tests were performed for bi-material specimens made of adhesively bonded PMMA and aluminum strips (Fig.1) and for pure PMMA and pure aluminum specimens. Additionally, two strain gauges on each homogeneous specimen and four on the bimaterial ones are used for strains estimations. The four point bending Iosipescu tests were performed using MTS machine with constant speed. In the first method (DIC) the ARAMIS system recorded a displacement distribution in samples with frequency 1Hz. In the second method the strains were recorded by the strain gauges - using analog output channels of the HOTTINGER data Acquisition System - MGCPlus, the current value of the load using analog output channel of the MTS machine was recorded too. The load-displacement curves were obtained for the whole deformation process and the shear strength of the joints was estimated. The energy absorption of the joints was calculated.

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“…In particular one can observe the strain concentrations which lead to further cracks propagation, e.g. [8][9][10][11] .…”

Section: Discussionmentioning

confidence: 99%

Experimental Study of Bimaterial Shear Strength and Strain Concentrations by Iosipescu Based Test Using Digital Image Correlation System

Sadowski

Kneć

2012

SSP

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“…In this case the equilibrium states of the material can be represented by two complex potentials defined in two complex planes [1][2][3][4][5][6][7][8][9][10]. We shall use Guz's representation of the elastic state [1], without initial deformation, in a weakly modified form due to Soos [10][11][12][13][14][15][16][17].…”

Section: Introductionmentioning

confidence: 99%

Mathematical modeling of three equal collinear cracks in an orthotropic solid

et al. 2015

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We consider a homogeneous elastic, orthotropic solid containing three equal collinear cracks, loaded in tension by symmetrically distributed normal stresses. Following Guz's representation theorem and solving Riemann-Hilbert problems we determine the expressions of the complex potentials. Using the asymptotic analysis, we obtain the asymptotic values of the incremental stress and displacement fields. We determine the tangential stresses near the crack tips. Using the maximum tangential stress criterion and numerical computations we study the interaction problem for a Graphite-epoxy fiber reinforced composite material.

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“…Thanks to that the drawn-part depth increases. The mechanism of crack propagation is discussed in detail in [20]. It seems that fluid die stamping or rubber pad forming are suitable for forming TWBs because these methods do not need special adjustment to the tools [21].…”

Section: Introductionmentioning

confidence: 99%

Analysis of Tensile Test of Titanium EBW Sheet

Adamus

Motyka

2015

KEM

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The continuous pursuit of vehicle weight reduction forces the industry to look for alternative materials to steel. Light alloys such as aluminium or titanium are materials that provide a decrease in weight using conventional technologies. Additional weight reduction results from using tailor-welded blanks (TWB). While the joining and forming steel or even aluminium TWBs is quite well known and described in the technical literature, joining and forming titanium TWBs still poses a significant problem. In the paper, experimental tests carried out with welded samples manufactured from commercially pure titanium Gr 2 and titanium alloy Gr 5 sheets are presented. The samples were joined by electron beam welding. Mechanical testing and optical microscopy were used to characterise the welds and the base metal of the samples. The samples were subjected to uniaxial tension up to final failure. The 3‑D Digital Image Correlation system ARAMIS was used for monitoring the whole deformation process. This makes it possible for real-time observation of sample deformation. The test results and the numerical analysis of the tensile tests are compared. The numerical simulations were carried out with the ADINA System based on the Finite Element Method (FEM). The mechanical analysis leads to calculation of the strain state after sample deformation in uniaxial tension (mechanical model).

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Mathematical modelling of the interface crack. A new improved numerical method

Cited by 8 publications

References 5 publications

Experimental Study of Bimaterial Shear Strength and Strain Concentrations by Iosipescu Based Test Using Digital Image Correlation System

Experimental Study of Bimaterial Shear Strength and Strain Concentrations by Iosipescu Based Test Using Digital Image Correlation System

Mathematical modeling of three equal collinear cracks in an orthotropic solid

Analysis of Tensile Test of Titanium EBW Sheet

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