主催: 日本学術会議 機械工学委員会・土木工学・建築学委員会 合同IUTAM分科会
共催: 日本機械学会, 日本気象学会, 日本地震工学会, 日本物理学会, 農業農村工学会, 応用物理学会, 化学工学会, 地盤工学会, 土木学会, 日本応用数理学会, 日本風工学会, 日本計算工学会, 日本建築学会, 日本原子力学会, 日本航空宇宙学会, 日本材料学会, 日本数学会, 日本船舶海洋工学会, 日本伝熱学会, 日本流体力学会, 日本レオロジー学会
A sand valley is a conjugate problem of sand heap. A typical geometry of planar valley under constant unit weight lying at the angle of repose is illustrated by two adjacent infinite sand heaps. The rigid body of infinite depth of cohesionless material is considered in two-dimensional quasi-static equilibrium. This study reveals the solutions according to a particular description of stress paths where the principal stress orientation provides additional equation to the two equilibrium equations for analyzing three unknowns of stress variables. Closed-form stress solutions for loose sand valley formed at the angle of repose in the planar two-dimension were derived based on the fixed principal axis hypothesis using the Lamé-Maxwell equations of equilibrium. Paths of principal stresses describe self-weight transfer mechanism under the static equilibrium.
