短繊緎を含有したゴム材料の数値シミュレーション: 第2報，横等方性超弾性体の応力理論解

摘要

金属結晶はいわゆるエネルギー弾性であり，原子間rn力の均衡状態がその弾性力を表す．一方，ゴムのようrnな高分子では分子鎖のミクロブラウン運動によるエンrnトロピー弾性が弾性力を表す．%The mechanical behavior of Rubber is expressed by the entropy elasticity. This behavior is simulated by Finite Element Analysis based on the assumption of the isotropy. But if a material takes transversely isotropic behavior with respect to the reference configuration, then the strain energy function can depend on five principal invariants. Ordinary three invariants of principal strain represent the isotropic behavior, additional two invariants represent the reinforced anisotropic behavior. To simulate the transversely hyper elastic material, it is necessary to define the strain energy function that is constructed by five invariants and its material constants. In our first report, we propose the polynomial strain energy function and determinate its material constants for the fibre reinforced material. In order to capture the precise solution, in this report, we employ the equivalence of uniaxial test and biaxial test. The combination of two individual experiments makes more accurate result.