亜弾性体の共回転構成式と非共軸性

抄録

The present paper concerns some unification of hypoelasticity using Jaumann, Green and Hilll's stress rates with different spins. The corotational stress-strain relation on the appropriate intermediate configuration rotated back from the current configuration is proved to be converted to conventional hypoelasticity on the current configuration. Also, the angular velocity of the eigenvectors of stress is shown to be obtained by subtracting the spins of the intermediate configuration from the spin due to deformations. The noncoaxiality at large strain is easily taken into account in standard hypoelasticity in a unified manner by introducing a new intermediate configuration which progresses with deformations.