Analytical and numerical study of cohesive zones for a crack in an adhesive layer between identical isotropic materials

Voloshko, O.; Lapusta, Yuri; Лобода, В. В.

doi:10.1016/j.engfracmech.2010.06.019

Cited by 6 publications

(3 citation statements)

References 29 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For each value of h 0 , we calculate from relation (19) the corresponding value of K and then find the function ϕ( K ) according to (20). By analogy with the previous case, for determining the function ζ , we find its approximate values ζ i so that the difference between the values of crack opening and J -integral calculated with the help of approximating function and stress distribution, obtained numerically, should not exceed 5 %.…”

Section: Construction Of the Approximating Functionmentioning

confidence: 98%

“…For a crack in a homogeneous piezoelectric material, an analytical method of finding its opening and the length of prefracture zone was proposed in [13] with regard for the distribution of normal stresses at the crack continuation. The fracture parameters for a crack in a thin interlayer between two isotropic materials were determined in [20] analytically and numerically. Here, in the analytical approach, the stress distributions at the crack continuation were taken into account.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Construction of an approximating function in the prefracture zone for a crack in an adhesive interlayer between two isotropic materials

Voloshko¹,

Lapusta

Лобода³

2012

J Math Sci

View full text Add to dashboard Cite

We consider a crack in a thin adhesive interlayer, which connects two identical elastic isotropic halfspaces. It is assumed that a uniformly distributed normal stress acts at infinity. The problem is solved numerically using the finite element method. As a result, we have determined the distribution of normal stresses at the crack continuation, its opening, and the value of the J -integral. Neglecting the interlayer thickness and taking into account the stress distribution in the prefracture zone, obtained numerically, we also solve this problem analytically. We have obtained an equation for determining the length of the prefracture zone and expressions for the crack opening and the J -integral. To take into account the stress distribution at the crack continuation, we have constructed a universal approximating function, which depends on the ratio between the external load and interlayer yield limit, the ratio between Young's moduli of the matrix and interlayer, and the ratio between the interlayer thickness and crack length.

show abstract

Section: Construction Of the Approximating Functionmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

Construction of an approximating function in the prefracture zone for a crack in an adhesive interlayer between two isotropic materials

Voloshko¹,

Lapusta

Лобода³

2012

J Math Sci

View full text Add to dashboard Cite

show abstract

“…Bimaterials with an insulated crack and a limited permeable crack in a thin adhesive layer between two identical piezoelectric materials were analyzed by Loboda et al [26] and Lapusta and Loboda [27]. A crack in a thin elastic-perfectly plastic interlayer joining two identical isotropic matrices was analyzed analytically and numerically in the paper by Voloshko et al [28]. The analytical solution was obtained with account of the stress distributions at the crack continuation, which were defined from the finite element solution with use of the approximating function.…”

Section: Introductionmentioning

confidence: 99%

Investigation of a crack situated in a thin adhesive layer between two different isotropic materials

2014

Self Cite

View full text Add to dashboard Cite

A plane strain problem for a crack in a thin adhesive elastic-perfectly plastic layer between two different isotropic elastic materials under the action of remote mechanical loading is considered. First, the problem is solved numerically using the finite element method. The stress distributions at the crack continuations and the J-integral values are found. Further, the analytical investigation of the formulated problem is performed. It is assumed that the pre-fracture zones arise at the crack continuations and the interlayer thickness is negligibly small in comparison with the crack length. Modeling the pre-fracture zones by the crack continuations with unknown constant normal and shear cohesive stresses applied to faces of the crack, the problem of linear relationship is formulated and solved analytically. The unknown pre-fracture zone lengths and cohesive stresses are derived from the condition of stress finiteness at the new crack tips and the yielding criterion of the interlayer material. The method of definition of the normal stress co-directed with the crack faces which is used in the mentioned yielding criterion is discussed. Expressions for the crack opening displacement and for the J-integral are obtained in an analytical form as well. The values of the J-integral obtained by means of the analytical method are in a good agreement with the results of the finite element solution.

show abstract

Introduction

Govorukha¹,

Kamlah²,

Лобода³

et al. 2017

Fracture Mechanics of Piezoelectric Solids With Interface Cracks

View full text Add to dashboard Cite

Analytical and numerical study of cohesive zones for a crack in an adhesive layer between identical isotropic materials

Cited by 6 publications

References 29 publications

Construction of an approximating function in the prefracture zone for a crack in an adhesive interlayer between two isotropic materials

Construction of an approximating function in the prefracture zone for a crack in an adhesive interlayer between two isotropic materials

Investigation of a crack situated in a thin adhesive layer between two different isotropic materials

Introduction

Contact Info

Product

Resources

About