论文标题
拉直：存在，独特性和稳定性
Straightening: Existence, uniqueness and stability
论文作者
论文摘要
在这里重新审视了不可压缩非线性弹性的最不可压缩的非线性弹性的普遍变形之一，即圆形圆柱体的扇形伸直到矩形块中，特别是解决了存在和稳定性问题。特别关注维持大型静态变形所需的力体系，包括使用最终夫妻。还研究了几何参数和本构模型对裂纹在块压缩面上出现的影响。比较了解决增量稳定性问题的不同数值方法，并发现基于矩阵riccati微分方程的分辨率的阻抗矩阵方法是更精确的。
One of the least studied universal deformations of incompressible nonlinear elasticity, namely the straightening of a sector of a circular cylinder into a rectangular block, is revisited here and, in particular, issues of existence and stability are addressed. Particular attention is paid to the system of forces required to sustain the large static deformation, including by the application of end couples. The influence of geometric parameters and constitutive models on the appearance of wrinkles on the compressed face of the block is also studied. Different numerical methods for solving the incremental stability problem are compared and it is found that the impedance matrix method, based on the resolution of a matrix Riccati differential equation, is the more precise.
