Method to Calculate Stress Intensity Factor of V-Notch in Bi-Materials

Li, Youtang; Song, Ming

doi:10.1007/s10338-008-0840-3

Cited by 10 publications

(8 citation statements)

References 20 publications

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“…A similar convergence of results was obtained in the notch problem, the tip of which is located on the border of the connection of two materials. The relative difference between the compared GSIFs values, found with the use of the developed method and in the work [ 26 ], was about 1.8%.…”

Section: Methodsmentioning

confidence: 88%

“…As for the corners with a non-zero opening angle, the authors of the papers [ 12 , 26 ] have dealt with this subject. In [ 26 ], eigenequation was derived and the influence of material constants on the roots of this equation was investigated. Moreover, the authors, assuming that the notched bi-material is subjected to tensile loads, determined generalised stress intensity factors.…”

Section: Introductionmentioning

confidence: 99%

“…The problem of local stress concentration, occurring in the vicinity of the crack tip, not perpendicular to the interface, was discussed in [24,25]. As for the corners with a non-zero opening angle, the authors of the papers [12,26] have dealt with this subject. In [26], eigenequation was derived and the influence of material constants on the roots of this equation was investigated.…”

Section: Introductionmentioning

confidence: 99%

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Investigation of the Near-Tip Stress Field of a Notch Terminating at a Bi-Material Interface

et al. 2021

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The article deals with the problem of a sharp corner, the tip of which is located on the bi-material interface. The paper presents a qualitative and quantitative description of singular stress fields occurring in the tip area of such a stress concentrator. The qualitative description was obtained by solving the problem of the plane theory of elasticity with appropriately defined boundary conditions. To obtain a quantitative description, it was necessary to determine the values of generalised stress intensity factors (GSIFs). The GSIFs were determined using the developed analytical-numerical method. The calculations were made for various load variants (uniaxial/biaxial tension load, shear load) and notch positions (single/double edge-notched plate, centre-notched plate). Additionally, the impact of notch geometry (height and opening angle) and relative stiffness (Young’s moduli ratio of both components of bi-material) on GSIFs was investigated. It has been noticed that with a decrease in the relative stiffness and an increase in the notch angle or its height, the normalised GSIFs values increased. The obtained results were compared with the data available in the literature and their satisfactory agreement with those presented by other scientists was found.

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Section: Methodsmentioning

confidence: 88%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Investigation of the Near-Tip Stress Field of a Notch Terminating at a Bi-Material Interface

et al. 2021

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“…Factors 12respective values of circumferential and tangential stresses obtained from FEM in nodes with coordinates r m , r m+1 . It is worth noting that when the exponent λ is a real number (δ = 0) dependence, (12) is simplified to a form presented in paper [26].…”

Section: Description Of Methods Used For the Determination Of Sifsmentioning

confidence: 99%

Determination of stress intensity factors for elements with sharp corner located on the interface of a bi-material structure or homogeneous material

Mieczkowski

2020

Acta Mech

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This paper presents a new universal analytical and numerical method allowing for determination of stress intensity factors (SIFs) for notches and cracks located in both a homogeneous and a heterogeneous material. An advantage of the proposed method is that it does not require knowledge of an analytical description of singular stress/displacement fields or connection of SIFs to energy parameters such as energy release factor. In this method, a universal analytical function has been used, which in combination with data obtained using finite element method (FEM) allows for a direct determination of stress intensity factors. One parameter that is necessary to know when using the proposed method is the eigenvalue $$\lambda $$ λ . The characteristic equation allowing for determination of the eigenvalues for any corner has been given herein. What is more, also a criterion clearly defining the nodes is determined, from which FEM numerical results are implemented to the developed analytical function. In order to verify the proposed method, for a selected group of geometrical and material structures with sharp corner, values of stress intensity factors were determined and compared to data available in the literature. Satisfactory compliance of obtained results with literature ones was found.

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“…The procedure makes it possible to calculate singular stress fields more easily than before. Li and Song (2008) used Zak's stress function to obtain the eigen-equation of stress singularity of bimaterials with a V-notch, and a new definition of SIFs for a perpendicular interfacial V-notch of bimaterial was put forward. Shang et al (2009) determined the SIFs for free edges in multi-layered structural components.…”

Section: Introductionmentioning

confidence: 99%

Determination of V-notch SIFs in multi-material anisotropic wedges by digital correlation experiments

Chiu

Jhao

2010

International Journal of Solids and Structures

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a b s t r a c tIn this paper, theoretical formulations based on the Stroh's complex function approach were used to find the displacement field and H-integral of a sharp V-notch formed from several anisotropic materials. Displacements from the image-correlation experiments are then substituted into the least-squares formulation to find V-notch stress intensity factors (SIFs) in multi-material anisotropic wedges. Validations using the H-integral indicate that the experimental SIFs evaluated from the proposed method of acceptable accuracy. The major advantage is that the proposed method only requires displacements inside the specimen, and displacements near the notch tip, specimen boundaries, or notch surfaces are not necessary.

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Method to Calculate Stress Intensity Factor of V-Notch in Bi-Materials

Cited by 10 publications

References 20 publications

Investigation of the Near-Tip Stress Field of a Notch Terminating at a Bi-Material Interface

Investigation of the Near-Tip Stress Field of a Notch Terminating at a Bi-Material Interface

Determination of stress intensity factors for elements with sharp corner located on the interface of a bi-material structure or homogeneous material

Determination of V-notch SIFs in multi-material anisotropic wedges by digital correlation experiments

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