Elasticity of randomly diluted central force networks under tension

The rigidity of two-dimensional randomly diluted Gaussian spring network under tension was analyzed. The study was based on the direct calculation of the shear modulus and fitting it with a power law. The critical behavior of the shear modulus was found to be tension sensitive. With the increase in tension a sharp drop in the critical concentration value was observed. The tension-free system had a narrower critical regime with the power law failing for the critical concentration value greater than 0.8, whereas a small tension was sufficient for extending the power law to the near critical concentration value of 1.