#
A Novel Stress Tensor-Based Failure Criterion for Peridynamics^{ †}

^{1}

^{2}

^{*}

^{†}

## Abstract

**:**

## 1. Introduction

## 2. Overview of State-Based Peridynamics

## 3. Method of Failure Criterion

## 4. Results

^{3}. The grid is characterized by a grid spacing $\mathsf{\Delta}x=0.6$ mm, horizon $\delta =3$ mm and m-ratio = 5 while the time step is assumed to be 300 ns simulating the case under the assumption of plane stress condition. A tensile strength ${\sigma}_{t}=5$ MPa is assumed. Figure 2 shows the deformed beam with the contour plot of the damage, while in Figure 3 the simulated fracture pattern is compared with the experimental crack and the results obtained with other methods. It can be noticed as the slope of the simulated crack is in a good agreement with the experimental crack.

## 5. Conclusions

## References

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**Figure 3.**Comparison of the simulated crack with the experimental one and the results of other methods.

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## Share and Cite

**MDPI and ACS Style**

Dipasquale, D.; Shojaei, A.; Yooyen, S.
A Novel Stress Tensor-Based Failure Criterion for Peridynamics. *Proceedings* **2019**, *39*, 23.
https://doi.org/10.3390/proceedings2019039023

**AMA Style**

Dipasquale D, Shojaei A, Yooyen S.
A Novel Stress Tensor-Based Failure Criterion for Peridynamics. *Proceedings*. 2019; 39(1):23.
https://doi.org/10.3390/proceedings2019039023

**Chicago/Turabian Style**

Dipasquale, Daniele, Arman Shojaei, and Soemsak Yooyen.
2019. "A Novel Stress Tensor-Based Failure Criterion for Peridynamics" *Proceedings* 39, no. 1: 23.
https://doi.org/10.3390/proceedings2019039023