An exact analytical solution to the static problem of biaxial tension-compression of a composite elastic plate made from a junction of two preliminarily strained circular arc-shaped panels (sectors of hollow cylinders) is presented for the case of large strains. It is assumed that the axes of the panels are orthogonal. The problem is formulated using the theory of repeatedly superimposed large deformations. The solution is obtained for a class of micropolar physically linear elastic materials. Some numerical results are given and the nonlinear effects are analyzed. The obtained solution can be useful for the strength analysis of structural elements made from the junction of prestrained parts with micropolar and nonlinear effects accounted for.

对于大应变的情况，提出了一个精确的解析解，该静态解析解是由两个预先应变的圆弧形面板（空心圆柱体的扇区）的接合处制成的复合弹性板的双轴拉伸压缩的静态问题。假定面板的轴线是正交的。该问题是根据反复叠加大变形的理论提出的。针对一类微极性物理线性弹性材料获得了该解决方案。给出了一些数值结果并分析了非线性效应。所获得的解决方案可用于分析由预应变零件结合了微极性和非线性影响而制成的结构元件的强度。