Size effect investigation of a central interface crack between two bonded dissimilar materials

Li, Yong; Viola, Erasmo

doi:10.1016/j.compstruct.2013.05.003

Cited by 8 publications

(3 citation statements)

References 58 publications

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“…Many bimaterial problems have been listed in and in their references. After that, the following researches are carried out . The solutions of bimaterial problem of one interface have been reported for bonded semi‐infinite planes subjected to uniform tension , couples , and for bonded strips subjected to temperature .…”

Section: Introductionmentioning

confidence: 99%

Solution of bonded bimaterial problem of two interfaces subjected to concentrated forces and couples

Hasebe

Kato

2015

Z Angew Math Mech

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A closed form solution is derived for the bonded bimaterial planes at two interfaces. The bonded planes with two interfaces are symmetric with respect to the interface, which is straight. A rational mapping function and complex stress functions are used for the analysis. The problem is reduced to a Riemann-Hilbert problem. Two interfaces problem to derive the general solution is more difficult than one interface problem. As a demonstration of geometry, semi-strips bonded at two parts at the ends of strips are considered. The solution of different geometrical shapes can be obtained by changing the mapping function. Concentrated forces and couples are applied to the each strip. The first derivative of complex stress functions which does not include integral terms with regard to variable of the mapping plane is achieved. Therefore, there is no need of numerical integration to calculate stress components and to determine unknown coefficients in complex stress function. This is very benefit. All elastic constants in complex stress functions are expressed by Dundurs' parameters. Stress distributions are shown for different lengths of the interface.

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Section: Introductionmentioning

confidence: 99%

Solution of bonded bimaterial problem of two interfaces subjected to concentrated forces and couples

Hasebe

Kato

2015

Z Angew Math Mech

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“…Yong Li et al [5] focuses on the fracture process connected with a finite central crack along the plane interface between two bonded dissimilar materials under biaxial loading. They applied a numerical solution of the interfacial crack problem, based on a Finite Element Method (FEM) formulation.…”

Section: Introductionmentioning

confidence: 99%

Computational modeling of strong and weak discontinuities using the extended finite element method

Moradi

Nazari

2015

Mechanics of Advanced Materials and Structures

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In this paper, Extended Finite Element Method is employed to solve problems, including weak and strong discontinuities. To this end, a level set framework is used to represent the discontinuities location and Heaviside and Branch function are included in standard finite element method. The case of two arbitrary curved cracks is solved numerically and SIF values at the crack tips are calculated based on the evaluation of the Crack Tip Opening Displacement (CTOD). Afterwards, J-integral methodology is adopted to evaluate the SIFs for isotropic and anisotropic bimaterial interface crack problems. Numerical results are verified with those presented in the literature.

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“…To describe the electric and magnetic nonlinearities the authors have adopted the electric magnetic polarization saturation (EMPS) model. Li and Viola [26] formulated the boundary value problem based upon the complex potential technique.The proposed formulation is used for the evaluation of fracture process along the interfacial central crack in the bonded two dissimilar materials subjected to biaxial loading at in nity.…”

Section: Introductionmentioning

confidence: 99%

Probabilistic fracture investigation of symmetric angle ply laminated composite plates using displacement correlation method

Lal

Shailesh

2016

Curved and Layered Structures

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Abstract:The second order statistics of mixed mode stress intensity factors (MSIF) of single edge V-notched angle ply laminated composite plate subjected to uniaxial tensile load with uncertinity in the system properties using displacement correlation method (DCM) is evaluated. The random system properties such as material properties, crack opening and crack length are modelled as combined uncorrelated and correlated random system variables. A C nite element method (FEM) based on higher order shear deformation plate theory (HSDT) is used for basic formulation. The Taylor series based rst order perturbation technique (FOPT), second order perturbation technique (SOPT) are used and direct Monte Carlo simulation (MCS) is performed to evaluate the statistics (mean and coe cient of variance) of the mixed mode SIFs. The present work signi es the accurate analysis of frature behaviour by in uence of di erent random variables and bre orientations on the fracture behaviour in angle ply laminates.

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Size effect investigation of a central interface crack between two bonded dissimilar materials

Cited by 8 publications

References 58 publications

Solution of bonded bimaterial problem of two interfaces subjected to concentrated forces and couples

Solution of bonded bimaterial problem of two interfaces subjected to concentrated forces and couples

Computational modeling of strong and weak discontinuities using the extended finite element method

Probabilistic fracture investigation of symmetric angle ply laminated composite plates using displacement correlation method

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