非线性球形薄膜的膨胀失稳

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基金项目: 国家自然科学基金

Tensile Instability of Nonlinear Spherical Membrane with Large Deformation

摘要: 本文应用分支理论研究了非线性球形薄膜在轴对称大变形膨胀过程中的失稳问题.证明了所论非线性边值问题的奇点只能是单重极限点,并讨论了载荷和材料两个参数对球形薄膜平衡状态及其稳定性的影响.
- 超弹性 /
- 分支理论 /
- 多参数影响
Abstract: The problem on instability of nonlinear spherical membrane with large axisvmmelric tensile deformations is investigated by using the bifurcation theory. It is proved that all singular points of the nonlinear boundary value problem must be simple limit points. The effect of loading and material parameters on the equilibrium state and its stability is discussed.
- hyperelasticity /
- bifurcation theory /
- effect of multiple parameters

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