IMPLEMENTATION OF THE AXIOMS OF COSSERAT–ZHILIN SYSTEMS ON EXAMPLES OF THEIR MAIN TYPES
Al Cheremensky · Journal of theoretical and applied mechanics · 2019
The differential equations of motion are derived for different types of Cosserat-Zhilin systems in the case where Stocks theorem is applicable.There are defined multiplicative groups which represent the measure of stress as a (well-defined) linear isotropic map of strain tensor or tensor of strain velocities for classical and polar continua in 2-and 3-dimensional cases.