# Fracturing of brittle homogeneous solids: Finite-size scalings.

@article{Tzschichholz1995FracturingOB, title={Fracturing of brittle homogeneous solids: Finite-size scalings.}, author={Tzschichholz}, journal={Physical review. B, Condensed matter}, year={1995}, volume={52 13}, pages={ 9270-9274 } }

Using a two-dimensional lattice model we investigate the crack growth under the influence of remote tensile forces as well as due to an internally applied pressure (hydraulic fracturing). For homogeneous elastic properties we present numerical finite-size scalings for the breaking stresses and pressures in terms of crack lengths and lattice sizes. Continuum theory predicts for the tensile and for the pressure problem identical scaling functions. Our findings for the tensile problem are in very…

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