_{1}, Ï ...

## 8.2. Interaction of Elastic-Plastic Particles

### 8.2.1. Yield

_{2}of the stress deviator tensor (s

_{ij}) reaches a critical value:

${J}_{2}=\frac{1}{2}{s}_{ij}{s}_{ij}=\frac{1}{6}\left[{\left({\mathrm{\xcf\x83}}_{1}\xe2\x88\x92{\mathrm{\xcf\x83}}_{2}\right)}^{2}+{\left({\mathrm{\xcf\x83}}_{2}\xe2\x88\x92{\mathrm{\xcf\x83}}_{3}\right)}^{2}+{\left({\mathrm{\xcf\x83}}_{3}\xe2\x88\x92{\mathrm{\xcf\x83}}_{1}\right)}^{2}\right]={k}^{2}=\frac{{Y}^{2}}{3}$

(8.76)

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