Untitled

Khay

Sládek

et al. 2007

MSF

A 3D time-harmonic problem for an infinite elastic matrix with an arbitrarily located interacting rigid disk-shaped inclusion and a penny-shaped crack is analyzed by the boundary integral equation method. Perfect bonding between the matrix and the moving inclusion is assumed. The crack faces are subjected to time-harmonic loading. The boundary integral equations (BIEs) obtained are solved numerically by the implementation of regularization and discretization procedures. Numerical calculations are carried out for a crack under tensile loading of constant amplitude, where an interacting inclusion is perpendicular to the crack and has the same radius. Both the normal crack-opening-displacement and the mode-I stress intensity factor are investigated for different wave numbers and distances between the crack and the inclusion.

Section: Boundary Integral Formulation and Numerical Solution Of The ...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Micromechanical Dynamic Influence of Rigid Disk-Shaped Inclusion on Neighboring Crack in 3D Elastic Matrix

Khay

Sládek

et al. 2007

MSF

“…The propagation of time‐harmonic elastic waves through an array of periodically distributed interfacial penny‐shaped and elliptic cracks was investigated by Golub and Doroshenko . Frequency‐domain analysis of the mode‐I dynamic stress intensity factor (DSIF) for the sub‐interfacial single and multiple penny‐shaped cracks, located perpendicularly to the interface of a bimaterial solid, was realized also with the extension of results on the situation with penny‐shaped crack near thin interlayer joined two elastic half‐spaces, where the effective boundary conditions are used for modeling the interlayer as the structural element. Non‐stationary elastodynamic problems for the interfacial penny‐shaped crack under impact loading were solved by the conjunction of integral equation method with the Laplace transform technique …”

Section: Introductionmentioning

confidence: 99%

Elastodynamic problem for a layered composite with penny‐shaped crack under harmonic torsion

Stankevych

2019

Z Angew Math Mech

Dynamic stress intensification due to the penny-shaped crack in a three-component elastic solid consisting of two dissimilar half-spaces and intermediate layer is analyzed. Twisting time-harmonic loading is applied to the opposite surfaces of the crack, which can be located in any component of the composite and has parallel orientation to its interfaces. Corresponding frequency-domain problem is solved by an improved boundary integral equation method, where identical satisfaction of perfect contact conditions at two presented interfaces is provided. Then, application of the dynamic loading condition on the crack-surfaces results in two uncoupled boundary integral equations relative to the tangential crack-opening-displacements. These quantities are defined by the collocation technique. Numerical examples concern the effects of the dimensionless wave number, the material mismatch, and the crack-interfaces distance on the mode-III dynamic stress intensity factor in the crack vicinity. K E Y W O R D Sboundary integral equation method, dynamic stress intensity factor, layered composite, penny-shaped crack, twisting time-harmonic loading

Elastodynamic analysis of multiple crack problem in 3‐D bi‐materials by a BEM

Numer Methods Biomed Eng

Zhbadynskyi

Zhang

2010

SUMMARYThe three-dimensional (3-D) problem of bi-materials or two ideally bonded elastic half-spaces with interacting sub-interface cracks subjected to time-harmonic loading is analyzed. The boundary value problem is reduced to a system of boundary integral equations (BIEs) in the frequency domain for the crack-opening-displacements (CODs) only. Boundary integrals over the finite crack-surfaces are obtained by introducing modified elastodynamic Green's functions, which identically satisfy the contact conditions on the infinite interface. The singularity subtraction technique under consideration of the 'square-root' behavior of the CODs at the crack-front is applied for the regularization of the BIEs. By using a collocation scheme, the BIEs are converted into a system of linear algebraic equations. Numerical calculations are performed for a bi-material with two penny-shaped cracks located on both sides of the interface subjected to time-harmonic tensile loading of constant amplitude on the crack-surfaces. Numerical results for the mode-I dynamic stress intensity factor as a function of the wave number are presented and discussed for various material combinations and distances between the interface and the cracks.