Abstract

This study used numerical analysis to carry out a large number of numerical model calculations based on a new semicircular bend (SCB) model. Instead of existing numerical computation methods (J-integral), the M-integral method was used to calculate the mixed mode fracture parameters (KI, KII, and KIII), investigate the influence of the geometry and material parameters on the fracture behavior under mixed mode I/III loading, and predict the fracture path. The results revealed that the limitations in the scope of the mixity parameter Me in the previous studies can be overcome to a certain extent. The range of Me was established under different Poisson ratios and can be used as a reference for actual material testing. The simulation path is in good agreement with the experimentally obtained fracture path, and the proposed method can be used to simulate the fracture path under mixed mode I/III loading.

Highlights

  • Fracture mechanics focuses on the mechanical properties of materials and structures with cracks. e cracks can be inherent in the material or generated during manufacturing, and the existence and growth of these cracks decrease the bearing capacity of the structure or even cause its failure

  • E semicircular bend (SCB) is a classic fracture mechanics test that is widely used to investigate solid materials owing to its inherent favorable properties, such as its simplicity, minimal machining requirement, testing convenience, and ease of reaching tensile failure as reported by Mahinda and Kuruppu [1]. e SCB specimen was proposed by Chong [2,3,4] and has been gradually improved

  • It has been widely used for determining the fracture parameter KIC, and its potential application in the mixed mode fracture test has been investigated [5,6,7,8,9]. e investigation of the SCB specimen mainly includes fracture toughness testing and determining the fracture parameters [10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28], discussing and revising the limitations of the extension criteria [11, 13, 16, 25, 29, 30], and numerically predicting the fracture path [14, 20, 23, 27, 31,32,33]

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Summary

Introduction

Fracture mechanics focuses on the mechanical properties of materials and structures with cracks. e cracks can be inherent in the material or generated during manufacturing, and the existence and growth of these cracks decrease the bearing capacity of the structure or even cause its failure.e semicircular bend (SCB) is a classic fracture mechanics test that is widely used to investigate solid materials owing to its inherent favorable properties, such as its simplicity, minimal machining requirement, testing convenience, and ease of reaching tensile failure as reported by Mahinda and Kuruppu [1]. e SCB specimen was proposed by Chong [2,3,4] and has been gradually improved. Kn (n I, II, III) is the fracture parameter and KIm is the maximum value of mode I. e crack length ratio (a/R) of the model is 0.26, one half of the loading point span ratio (S/R) is 0.8, and the crack angle (α) is 0°, 20°, 40°, and 60°, respectively.

Results
Conclusion
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