円柱座標ならびに球座標における三次元弾性問題の解の一表現
1986 年 1986 巻 374 号 p. 185-194
詳細
1986 年 1986 巻 374 号 p. 185-194
Solutions to three-dimensional elasticity problems in cylindrical and spherical coordinates are proposed as useful solutions to non-axially symmetric deformations. The solutions with the aid of potential functions of displacement take into account effects of heat and body forces in general forms. A harmonic vector of potential functions based on Boussinseq's solution is replaced by a vector field consisted of harmonic functions according to cylindrical and spherical coordinates. This method facilitates the determination of potential functions enough for the theory of elasticity. Expressions for potential functions and components of displacement of non-axially symmetric elasticity problems in cylindrical and spherical coordinates are definitely presented in due consideration of practical applications to stress analyses.
