The shear modulus of metastable amorphous solids with strong central and bond-bending interactions
arXiv:0807.3656 · doi:10.1088/0953-8984/21/28/285103
Abstract
We derive expressions for the shear modulus of deeply-quenched, glassy solids, in terms of a Cauchy-Born free energy expansion around a rigid (quenched) reference state, following the approach due to Alexander [Alexander, Phys. Rep. 296, 1998]. Continuum-limit explicit expressions of the shear modulus are derived starting from the microscopic Hamiltonians of central and bond-bending interactions. The applicability of the expressions to dense covalent glasses as well as colloidal glasses with strongly attractive and adhesive bonds is discussed.
References in corpus (5)
- Jamming at Zero Temperature and Zero Applied Stress: the Epitome of Disorder
- On the Rigidity of Amorphous Solids
- A coordination-based approach to elasticity of floppy and stiff random networks
- Elasticity of arrested short-ranged attractive colloids: homogeneous and heterogeneous glasses
- Elasticity of soft particles and colloids near Random Close Packing