Two-phase piecewise homogeneous plane deformations are examined in respect of a neo-Hookean matrix material reinforced with embedded aligned fibres characterized by a single stiffness parameter. The deformations are interpreted in terms of fibre kinking and fibre splitting. Previous work has shown that such a transversely isotropic material can lose ellipticity if the reinforcing stiffness is sufficiently large and the fibre direction is sufficiently compressed. In particular, it was shown that the associated failure modes are characterised by the emergence of weak surfaces of discontinuity that are normal to the fibre direction (the onset of fibre kinking) or parallel to the fibre direction (the onset of fibre splitting). Here, the analysis of strong surfaces of discontinuity, developing from weak ones, is studied. The considered model can give rise to piecewise smooth plane deformations separated by a plane stationary surface of discontinuity, interpreted as either kinking or splitting. Attention is restricted to (plane) deformations in which, on one side of the surface of discontinuity, the load axis is aligned with the fibre axis. Then the fibre stretch on this side of the discontinuity is a natural load parameter. The ellipticity status of the two-phase piecewise homogeneous plane deformations is shown to span all four possible ellipticity/non-ellipticity permutations. If both deformation states are elliptic, then a suitable intermediate deformation is shown to be non-elliptic. Moreover, it is shown that the mechanism is dissipative, and maximally dissipative quasi-static failure motion is examined in respect of both kinking and splitting. It follows that, firstly, surfaces of discontinuity perpendicular to the fibre direction, associated with fibre kinking, are nucleated followed by surfaces of discontinuity parallel to the fibre direction, associated with fibre splitting. With respect to kinking, such maximally dissipative kinks nucleate only in compression as weak surfaces of discontinuity, with the subsequent motion converting non-elliptic deformation to elliptic deformation.

对于以嵌入的取向纤维为特征的，具有单一刚度参数的新型新胡克矩阵材料，研究了两相分段均质平面变形。变形是根据纤维扭结和纤维分裂来解释的。先前的工作已经表明，如果增强刚度足够大并且纤维方向被充分压缩，则这种横向各向同性的材料会失去椭圆度。特别地，已经表明，相关的破坏模式的特征在于不连续的弱表面的出现，该不连续的弱表面垂直于纤维方向（纤维扭结的开始）或平行于纤维方向（纤维分裂的开始）。在这里，研究了从弱表面发展而来的强不连续表面的分析。所考虑的模型可能会产生由不连续的平面固定表面分隔的分段平滑平面变形，解释为扭结或分裂。注意仅限于（平面）变形，其中在不连续表面的一侧，负载轴与纤维轴对齐。那么，在不连续面这一侧的纤维拉伸是自然载荷参数。两相分段均质平面变形的椭圆状态显示为跨越所有四个可能的椭圆/非椭圆排列。如果两个变形状态均为椭圆形，则适当的中间变形将显示为非椭圆形。此外，表明该机制是耗散的，并且针对扭结和分裂均检查了最大耗散的准静态破坏运动。因此，首先，使与纤维扭结相关的垂直于纤维方向的不连续表面成核，随后使与纤维分裂相关的平行于纤维方向的不连续表面成核。关于扭结，这种最大耗散的扭结仅在压缩时作为不连续的弱表面成核，随后的运动将非椭圆形变形转换为椭圆形变形。