The mechanics of laminates made up of elastic alternating stiff/soft layers is dominated by bending and membrane actions in the stiff layers, while transverse shear deformations concentrate in the soft interlayers producing significant zigzag warping effects. Additionally, curved geometry and large deformations can induce an interlayer thickness strain affecting the overall response of the laminate. This work presents a rotation-free Total Lagrangian large deformation curved shell model to accurately capture such a structural response. Each stiff layer is modeled as a Kirchhoff–Love shell. Without additional DOFs, each soft interlayer is modeled as a solid-shell by expressing, in finite kinematics, the displacement of top and bottom interfaces as a function of the mid-surface displacement of the upper and lower stiff layers it couples. The model is characterized by a sparse stiffness matrix compared to high-order theories and requires a small number of DOFs (3 per stiff layer) to reproduce the 3D solution. A NURBS discretization meets the high continuity of the weak form with a patch-wise reduced quadrature to avoid locking and enhance efficiency. All thickness integrals are pre-computed just once.

中文翻译：

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用于交替硬/软弯曲层压板的大旋转等几何壳模型，包括翘曲和层间厚度变化

由弹性交替硬/软层组成的层压板的力学主要由硬层中的弯曲和膜作用主导，而横向剪切变形集中在软夹层中，产生显着的锯齿形翘曲效应。此外，弯曲的几何形状和大的变形会引起层间厚度应变，影响层压板的整体响应。这项工作提出了一种无旋转的全拉格朗日大变形曲壳模型，以准确捕获这种结构响应。每个刚性层都被建模为基尔霍夫-洛夫壳。在没有附加自由度的情况下，通过在有限运动学中将顶部和底部界面的位移表示为其耦合的上部和下部刚性层的中表面位移的函数，将每个软夹层建模为固体壳。与高阶理论相比，该模型的特点是具有稀疏的刚度矩阵，并且需要少量的 DOF（每个刚性层 3 个）来重现 3D 解。 NURBS离散化通过分片缩减求积来满足弱形式的高连续性，以避免锁定并提高效率。所有厚度积分仅预先计算一次。