Multiple Crack Interactions in Bi-Material Plates under Mode I Tension Loading

Abstract

The solution of stress intensity factor (SIF) for central edge crack embedded in bimaterial plate can be found in open literature. Instead of a single edge crack, some researches on the multiple crack problems can also be found. However, the solutions of SIFs for multiple edge cracks in bi-material plates are difficult to obtain. In this paper, such problems are solved numerically using ANSYS finite element program. There are three important parameters that are used namely, relative crack depth, a/W, relative offset distance, b/h and modulus ratio, E 1 /E 2 . Both materials are assumed to be perfectly bonded and fulfill the plain strain condition. It is found that all variables used play an important role in determining the SIFs. However, when b/h is large enough, it has no significant effect on the SIF where it converged to an almost single value. The same situation does not occur for mode II SUFs where the SIFs diverged when the parameters used are increased.

Calculating of stress intensity factors of soldered joints with multiple cracks

“…It is observed that as in Figure 7, interaction factors increased as the function of the length of central cracks. Many research works have reported similar results and can be found in [7][8][9][10][11][12][13][14]. On the other when the normalized edge cracks increased the interaction factors are also decreased.…”

“…Then, they suggested a new combination rule and concluded that it always yields a reasonable estimation with necessary conservatism for various initial crack depth, material constant and relative sizes of two cracks. Ismail [12] investigated numerically the multiple crack interaction in bi-materials plate under mode I tension. Two plates of different materials are perfectly bonded assuming that there is no chemical reaction at the interface.…”

Interaction Assessment of Stress Intensity Factors of Surface Cracks on Thick Cylinders under Tension Force and Bending Moment

“…It should be noted that the results obtained for a single crack previously [23][24][25][26][27] were utilized to quantify the double crack interaction via an interaction factor. Several other research works can be found elsewhere [28][29][30][31][32][33][34][35][36], and their interactions are sometimes hard to find [37][38][39][40][41][42][43][44][45]. Therefore, this paper presents the study on the interaction assessment of surface cracks on the thick cylinders under both tension force and bending moment.…”

An Overview of Fracture Mechanics with ANSYS

“…Recently, in ANSYS version 16.0 and above the determination of SIFs using J-integral approach can be separated into different mode of failure. This can be realized using interaction integral approach [17] and other can be found in [18][19][20][21][22][23][24][25][26].…”