The effective parametrization of a multilayer thin domain, called a new parametrization, is considered and consists in using, in contrast to the classical approaches, several base surfaces. In addition, the new parameterization is characterized by the fact that it is experimentally more accessible than other parameterizations used in the scientific literature, since the front surfaces are used as basic ones. Also, when obtaining any relation (a system of equations, constitutive relations, boundary and initial conditions, variational principles, etc.) in the moments of the theory of multilayer thin bodies under the new parametrization of the domain of a thin body, it is sufficient in the corresponding relation of the theory of a single-layer thin body under the root letters of the quantities to supply the index \(\alpha \), which denotes the number of the layer \(\alpha \) and gives these index values from 1 to K, where K is the number of layers. Therefore, for the correct statement of the initial-boundary value problems to the equations of motion and the boundary and initial conditions in the moments, it is also necessary to add interlayer contact conditions, which must also be taken into account when writing the variational operators and formulating the variational principles. What has been said above can be called the rule of obtaining the desired relation in the theory of multilayer thin bodies from the corresponding relation in the theory of single-layer thin bodies. Applying this rule, below we give the representation of the generalized Reissner-type operator and formulate the generalized Reissner-type variational principle both in the case of full contact of adjacent layers of a multilayer structure and in the presence of zones of weakened adhesion. The description of obtaining of dual operators and variational principles of Reissner-type, as well as of Lagrangian and Castiglianian and variational principles of Lagrange and Castigliano, is given. In the presence of domains of weakened adhesion at interphase boundaries in a multilayer thin body, one of the main problems is the problem of modeling the interface (interphase boundary). In this paper, the jump-type model (description of the interface by a surface of zero thickness) is presented in comparative detail.

多层薄域的有效参数化，称为新参数化，与经典方法相比，被认为是使用多个基础表面。此外，新参数化的特点是，它比科学文献中使用的其他参数化在实验上更易于访问，因为前表面被用作基本表面。此外，当在薄体域的新参数化下获得多层薄体理论矩中的任何关系（方程组、本构关系、边界和初始条件、变分原理等）时，它是在量的根字母下的单层薄体理论的对应关系中足以提供索引\(\alpha \)，它表示层数\(\alpha \)并给出从 1 到K的这些索引值，其中K是层数。因此，为了正确表述运动方程的初边值问题和力矩中的边界和初始条件，还需要增加层间接触条件，在编写变分算子时也必须考虑到这一点。并制定变分原理。上面所说的可以称为从单层薄体理论中的对应关系得到多层薄体理论中所需关系的规则。应用此规则，我们在下面给出了广义 Reissner 型算子的表示，并在多层结构的相邻层完全接触和存在弱粘合区域的情况下制定了广义 Reissner 型变分原理。给出了对偶算子的获得和Reissner型的变分原理，以及拉格朗日和卡斯蒂利亚诺的变分原理以及拉格朗日和卡斯蒂利亚诺的变分原理。在多层薄体的相界面处存在弱粘合域的情况下，主要问题之一是界面（相界面）建模问题。在本文中，比较详细地介绍了跳跃型模型（用零厚度表面描述界面）。主要问题之一是界面（相间边界）建模问题。在本文中，比较详细地介绍了跳跃型模型（用零厚度表面描述界面）。主要问题之一是界面（相间边界）建模问题。在本文中，比较详细地介绍了跳跃型模型（用零厚度表面描述界面）。