Relations between the Material Mechanical Parameters and the Inter-particle Potential in Amorphous Solids

Abstract

The shear-modulus and yield-stress of amorphous solids are important material parameters, with the former determining the rate of increase of stress under external strain and the latter being the stress value at which the material flows in a plastic manner. It is therefore important to understand how these parameters can be related to the inter-particle potential. Here a scaling theory is presented such that given the inter-particle potential, the dependence of the yield stress and the shear modulus on the density of the solid can be predicted in the athermal limit. It is explained when such prediction is possible at all densities and when it is only applicable at high densities. These results open up exciting possibilities for designing in principle new materials with desirable mechanical properties.

4 pages, 7 figures

References in corpus (5)

• Pressure-energy correlations in liquids. I. Results from computer simulations
• Pressure-energy correlations in liquids. II. Analysis and consequences
• Strong pressure-energy correlations in van der Waals liquids
• Thermodynamic scaling of diffusion in supercooled Lennard-Jones liquids
• Locality and Non-locality in Elasto-plastic Responses of Amorphous Solids

Cited by in corpus (5)

• "Isomorphs" in liquid state diagrams
• Pressure-energy correlations in liquids. IV. "Isomorphs" in liquid state diagrams
• Scaling Theory for Steady State Plastic Flows in Amorphous Solids
• Effect of nematic ordering on the elasticity and yielding in disordered polymeric solids
• Elastic modulus and yield strength of semicrystalline polymers with bond disorder are higher than in atomic crystals