This work investigates two aspects linked to the nature of the feasible domain of anisotropic laminates. In the first part of the paper, proofs are given on the non-convexity of the feasible domain for full anisotropic and for membrane-orthotropic laminates, either in the lamination parameters space or in the polar parameters one. Then, adopting the polar formalism, some particular cases are studied, providing analytical expressions of new narrower bounds, in terms of polar parameters of the membrane stiffness tensor. For a particular case, the exact expression of the membrane stiffness tensor feasible domain is determined. In the second part of the paper, a discussion on the necessary and sufficient condition to get membrane/bending uncoupled and/or homogeneous laminates is presented. It is proved that, when the distinct orientations within the stack are two, quasi-triviality represents a necessary and sufficient condition to achieve uncoupling and/or quasi-homogeneity. This work disproves the common belief of the convexity of the feasible domain in the lamination parameters space and fosters new ideas to face the problem of the determination of the feasible domain of laminates.

这项工作研究了与各向异性层压板可行域的性质有关的两个方面。在论文的第一部分中，给出了关于完全各向异性和膜正交各向异性层压板的可行域的非凸性的证明，无论是在层压参数空间还是在极性参数一个中。然后，采用极坐标形式主义，研究了一些特殊情况，根据膜刚度张量的极坐标参数提供了新的更窄界限的解析表达式。对于特定情况，确定膜刚度张量可行域的精确表达。在本文的第二部分中，讨论了获得膜/弯曲非耦合和/或均质层压板的必要条件和充分条件。事实证明，当堆叠中的不同方向为两个时，准平凡度表示实现解耦和/或准均质性的必要和充分条件。这项工作证明了在叠层参数空间中可行域凸性的普遍观点，并提出了新的思想来面对确定叠层可行域的问题。