Elastic Field of an Elliptic Inhomogeneity With Debonding Over an Arc (Antiplane Strain)

1985 ◽  
Vol 52 (1) ◽  
pp. 91-97 ◽  
Author(s):  
B. L. Karihaloo ◽  
K. Viswanathan
Keyword(s):  
Stress Intensity ◽  
Elastic Material ◽  
Stress Intensity Factors ◽  
Elastic Field ◽  
Numerical Results ◽  
Antiplane Strain ◽  
Intensity Factors ◽  
Common Boundary ◽  
Equivalent Inclusion ◽  
Elliptic Inhomogeneity

This paper describes the elastic field of an elliptic inhomogeneity that has debonded over an arc of its common boundary with a different elastic material in which it is embedded. Eshelby’s method of equivalent inclusion with a stress-free eigens train is employed. The solution is facilitated by the properties of Green’s functions. Only the antiplane strain case is treated for illustrating the procedure. Numerical results are presented for the stress intensity factors at the tips of the debonded arc, as well as for the relative displacements across the debond.

Elastic Field of a Partially Debonded Elliptic Inhomogeneity in an Elastic Matrix (Plane-Strain)

1985 ◽  
Vol 52 (4) ◽  
pp. 835-840 ◽  
Author(s):  
B. L. Karihaloo ◽  
K. Viswanathan
Keyword(s):  
Stress Intensity ◽  
Stress Field ◽  
Plane Strain ◽  
Elastic Field ◽  
Intensity Factors ◽  
Common Boundary ◽  
Equivalent Inclusion ◽  
General Plane ◽  
Derivatives Of ◽  
Elliptic Inhomogeneity

The problem of the stress-field of an elliptic inhomogeneity that has debonded over an arc of its common boundary with a different elastic material is studied under plane-strain conditions. Eshelby’s method of equivalent inclusion is employed. The “equivalence relation” is solved by a method that is applicable to any general plane-strain situation. Further, the relative displacements of the debonded faces are derived from the discontinuous behavior of individual terms associated with the derivatives of Green’s function. Numerical results are presented for the stress-intensity factors at the tips of the debonded arc and the relative displacements across the debond.

Asymptotic Field Near the Tip of a Debonded Anticrack in an Anisotropic Elastic Material

2020 ◽  
Vol 73 (1) ◽  
pp. 76-83
Author(s):  
Xu Wang ◽  
Peter Schiavone
Keyword(s):  
Stress Intensity ◽  
Elastic Material ◽  
Stress Intensity Factors ◽  
Orthotropic Materials ◽  
Intensity Factors ◽  
Power Type ◽  
Material Force ◽  
Real Power ◽  
Anisotropic Elastic ◽  
Anisotropic Elastic Material

Summary We use the sextic Stroh formalism to study the asymptotic elastic field near the tip of a debonded anticrack in a generally anisotropic elastic material under generalised plane strain deformations. The stresses near the tip of the debonded anticrack exhibit the oscillatory singularities $r^{-3/4\pm i\varepsilon }$ and $r^{-1/4\pm i\varepsilon }$ (where $\varepsilon $ is the oscillatory index) as well as the real power-type singularities $r^{-3/4}$ and $r^{-1/4}$. Two complex-valued stress intensity factors and two real-valued stress intensity factors are introduced to respectively scale the two oscillatory and two real power-type singularities. The corresponding three-dimensional analytic vector function is derived explicitly, and the material force on the debonded anticrack is obtained. Our solution is illustrated using an example involving orthotropic materials.

A Novel Approach for Evaluation of Stress Intensity Factors Using X-FEM

2012 ◽  
Vol 446-449 ◽  
pp. 816-823
Author(s):  
Liang Wu ◽  
Li Xing Zhang ◽  
Ya Kun Guo
Keyword(s):  
Stress Intensity ◽  
Stress Intensity Factors ◽  
Crack Tip ◽  
Strain Energy Release ◽  
Numerical Results ◽  
Intensity Factors ◽  
Interaction Integral ◽  
Novel Approach ◽  
New Energy ◽  
Energy Release Rates

A new energy approach is proposed by coupling the virtual crack extension with the extended finite element method (X-FEM) to extract the Strain Energy Release Rates and then convert it to stress intensity factors. By means of meshes independence of the location and geometry of the crack, the proposed approach avoids the mesh perturbation around the crack tip to compute the stiffness derivatives with respect to a virtual extension of the crack. In comparison to the interaction integral, this combined method is implemented more easily without the post-processing of the numerical results. The effect of different enriched region around the crack tip on the accuracy of results is discussed. Numerical results presented are in excellent agreement with the available analytical and those obtained using the interaction integral.

A New FEM for Torsion Cracked Cylinder Based on Crack3D FEA Code and Mushhelisvili Torsion Theorem

2011 ◽  
Vol 197-198 ◽  
pp. 1374-1380 ◽  
Author(s):  
Xin Yan Tang
Keyword(s):  
Stress Intensity ◽  
Stress Intensity Factors ◽  
Numerical Results ◽  
Nodal Solution ◽  
Torsion Problem ◽  
Ansys Software ◽  
Intensity Factors ◽  
Rectangular Cylinder ◽  
Torsion Rigidity ◽  
As Stress

The objective of this paper is to use the specialty fracture software Crack3D FEA Code, well known Ansys software and Mushhelisvili’s torsion theorem to analyze the torsion problem of a crack rectangular cylinder. Several numerical results such as stress intensity factors KIII , torsion rigidity D, shearing stresses (τxy ,τyz ) and the contour nodal solution data are obtained. All the results are satisfactory.

FRACTURE BEHAVIOR FOR A LONG CENTER SLANT CRACKED RECTANGULAR SLAB OF SUPERCONDUCTOR UNDER ELECTROMAGNETIC FORCE

2009 ◽  
Vol 23 (06) ◽  
pp. 825-834 ◽  
Author(s):  
ZHI WEN GAO ◽  
YOU HE ZHOU
Keyword(s):  
Stress Intensity ◽  
Stress Intensity Factors ◽  
Electromagnetic Force ◽  
Fracture Behavior ◽  
Numerical Results ◽  
Ybco Superconductor ◽  
Zero Field ◽  
Intensity Factors ◽  
Magnetization Processes ◽  
Field Cooling

This paper presents a theoretical analysis to the fracture behavior of the large single-domain YBCO superconductor with a center slant crack under electromagnetic force. The stress intensity factors are obtained by using the coupled finite element and infinite element numerical method. Numerical results are computed for two activation processes. For the zero-field cooling (ZFC) magnetization processes, the stress intensity factors increase as the applied field becomes large during field descent. For the field cooling (FC) magnetization processes, the stress intensity factors are obvious differences between the two cases when bfc > 1 and bfc ≤ 1. In addition, the predicted crack growth is the Mode-I fracture mainly. In this case, the numerical results developed in the present work are considered to be available for providing quantitative predictions of the fracture mechanism of superconductor both in theory and applications.

DETERMINATION OF RESIDUAL STRESSES AND STRESS INTENSITY FACTORS BY REMOVING LOCAL MATERIAL

2017 ◽  
Vol 48 (4) ◽  
pp. 377-398
Author(s):  
Svyatoslav Igorevich Eleonskii ◽  
Igor Nikolaevich Odintsev ◽  
Vladimir Sergeevich Pisarev ◽  
Stanislav Mikhailovich Usov
Keyword(s):  
Stress Intensity ◽  
Residual Stresses ◽  
Stress Intensity Factors ◽  
Intensity Factors ◽  
Local Material
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