555 熱的なはり理論および断面定数(OS7-8 微視的挙動・効果III)(OS7 微視構造を有する材料の力学)  [in Japanese] 555 Thermal Beam Theory and Section Moduli  [in Japanese]

A theory of bars with thermal effects is studied using a concept of the Cosserat continuum. Since beam theory is regarded as a one-dimensional Cosserat theory, the present theory can be called a thermal beam theory. In this report, discussions are confined to the effects of heat conductivity on thermal beams. Constitutive equations for heat flux and its moment are obtained expressing thermal mesoscopic structures. It is shown that the value of a thermal sectional modulus corresponding to the second moment of inertia in the beam theory can be derived numerically by finite element analyses.