scholarly journals Numerical Solution for Crack Phenomenon in Dissimilar Materials under Various Mechanical Loadings

Symmetry ◽  
2021 ◽  
Vol 13 (2) ◽  
pp. 235
Author(s):  
Khairum Bin Hamzah ◽  
Nik Mohd Asri Nik Long ◽  
Norazak Senu ◽  
Zainidin K. Eshkuvatov
Keyword(s):  
Mathematical Model ◽  
Stress Intensity ◽  
Analytical Study ◽  
Crack Opening ◽  
Dissimilar Materials ◽  
Quadrature Formulas ◽  
Intensity Factors ◽  
Opening Displacement ◽  
Dimensionless Stress ◽  
Crack Tips

A new mathematical model is developed for the analytical study of two cracks in the upper plane of dissimilar materials under various mechanical loadings, i.e., shear, normal, tearing and mixed stresses with different geometry conditions. This problem is developed into a new mathematical model of hypersingular integral equations (HSIEs) by using the modified complex potentials (MCPs) function and the continuity conditions of the resultant force and displacement with the crack opening displacement (COD) function as the unknown. The newly obtained mathematical model of HSIEs are solved numerically by utilizing the appropriate quadrature formulas. Numerical computations and graphical demonstrations are carried out to observe the profound effect of the elastic constants ratio, mode of stresses and geometry conditions on the dimensionless stress intensity factors (SIFs) at the crack tips.

The Interface Crack in a Combined Tension-Compression and Shear Field

1979 ◽  
Vol 46 (2) ◽  
pp. 345-348 ◽  
Author(s):  
Maria Comninou ◽  
D. Schmueser
Keyword(s):  
Shear Stress ◽  
Stress Intensity ◽  
Interface Crack ◽  
Stress Intensity Factors ◽  
Crack Opening ◽  
Intensity Factors ◽  
Contact Zones ◽  
Frictionless Contact ◽  
Applied Tension ◽  
Crack Tips

The interface crack was analyzed in two recent papers which considered applied tension and shear fields separately. The unrealistic oscillatory singularities and the ensuing material interpenetration were eliminated in these solutions by assuming small frictionless contact zones near the crack tips. The present paper presents a solution for the interface crack under combined normal and shear tractions. Both tensile and compressive normal tractions are considered and numerical results of the extents of the contact zones, shear stress-intensity factors, and interface crack opening profiles are presented.

Boundary Element Analysis of Interface Cracks

2005 ◽  
Author(s):  
A. R. Hadjesfandiari ◽  
G. F. Dargush
Keyword(s):  
Stress Intensity ◽  
Boundary Element ◽  
Stress Intensity Factors ◽  
Stress Singularity ◽  
Dissimilar Materials ◽  
Quadrature Formulas ◽  
Element Formulation ◽  
Intensity Factors ◽  
Element Analysis ◽  
Crack Problems

A new boundary element formulation is developed to determine the complex stress intensity factors associated with cracks on the interface between dissimilar materials. This represents an extension of the methodology developed previously by the authors for determination of free-edge generalized stress intensity factors on bimaterial interfaces, which employs displacements and weighted tractions as primary variables. However, in the present work, the characteristic oscillating stress singularity is addressed through the introduction of modified weighting functions and corresponding numerical quadrature formulas. As a result, this boundary-only approach provides extremely accurate mesh-independent solutions for a range of interface crack problems. A number of computational examples are considered to assess the performance of the method in comparison with analytical solutions and previous work on the subject.

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