Thermal Effects by Means of Two-Component Cosserat Continuum

Modeling of physical fields by means of the Cosserat continuum

“…We note that the first equation in Equation ( 35) is known as Maxwell's first equation, the second equation in Equation ( 35) is usually called Maxwell's second equation or the Maxwell-Faraday equation, the third and fourth equations in Equation ( 35) are the Gauss laws for electric and magnetic fields, respectively. From Equation (35), it follows the charge conservation law…”

“…which, in fact, is a condition for the solvability of Equation (35). Equation ( 35) should be supplemented by constitutive equations, which take the following form in the simplest case of a linear isotropic material:…”

“…We can refer to continuum models based on translational degrees of freedom [2][3][4][5][6][7][8], continuum models based on rotational degrees of freedom [2,3,[9][10][11][12][13][14][15][16][17][18][19], micromorphic continuum models have been discussed in Refs. [20][21][22], two-component continuum models [23][24][25][26], and continuum models with microstructure based on rotational degrees of freedom [27][28][29][30][31][32][33][34][35]. We can also refer to various models of electro-and magneto-elasticity with nonlinear constitutive equations [36][37][38][39][40][41][42].…”