Journal of Elasticity

, Volume 125, Issue 1, pp 137–137

# Erratum to: Cohesive Dynamics and Brittle Fracture

• Robert Lipton
Erratum

Erratum to: J Elast (2015) DOI

There is a mislabeling of the angle in Fig. 3 the angle written as $$\psi$$ should be $$\theta$$. There is a missing differential $$d\theta$$ in the multiple integral appearing in (1.10). The correct equation reads
$$\mathcal{G}_{c}^{\epsilon}=\frac{2}{V_{d}}\int_{0}^{\epsilon}\int_{0}^{2\pi}\int_{z}^{\epsilon}\int_{0}^{\arccos(z/\zeta)}\mathcal{W}^{\epsilon}(\mathcal{S}_{c}^{+},\zeta)\zeta^{2}\sin{\psi}\,d\psi\,d\zeta\,d\theta\,dz.$$
In second line of the statement of Theorem 4.1 both the interval $$0\leq \beta<1$$ and the equation $$\beta=2\alpha-1$$ are irrelevant and should not appear. The correct statement of the Theorem is

### Theorem 4.1

Dependence of the process zone on the radius of the peridynamic horizon
$$\mathcal{L}^{d}\left(PZ^{\epsilon}(\overline{\theta},t) \right)\leq \frac{\epsilon}{\overline{\theta}m f(\overline{r}^{2})}\times \frac{C(t)}{2}, \quad \textit{for}\ 0\leq t\leq T.$$