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Statistical mechanics of elastic moduli

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Abstract

We consider continuous systems of particles in the framework of classical statistical mechanics and derive a general expression for the static elastic moduli tensor in terms of correlation functions. We find sufficient conditions for the vanishing of the shear modulus. Relationships between these conditions and others insuring translational or rotational invariance are discussed.

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Bavaud, F., Choquard, P. & Fontaine, J.R. Statistical mechanics of elastic moduli. J Stat Phys 42, 621–646 (1986). https://doi.org/10.1007/BF01127732

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  • DOI: https://doi.org/10.1007/BF01127732

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