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physics.class-ph2024
Effective Youngs Modulus of Two-Phase Elastic Composites by Repeated Isostrain and Isostress Constructions and Arithmetic-Geometric Mean
Jiashi Yang
A relationship is established between the effective Youngs modulus of a two-phase elastic composite and a known mathematical mean value. Specifically, the effective Youngs modulus…
physics.class-ph2024
A Note on the Objectivity (Rotational Invariance) of the Stored Energy Density in Continuum Physics
Jiashi Yang
This short note is concerned with the rotational invariance of the stored energy density in continuum physics as a scalar function of a few vectors. A simple derivation is presente…