Membrane finite elements have gained increasing importance since the early years of the finite elements method due to their convenience to a wide range of plane and 3D shell problems. Many research works have been focussing on membrane elements with drilling rotation. These elements are plane stress finite elements with a rotational in-plane degree of freedom. The main motivation for introducing the drilling rotation into membrane/shell elements is to improve the accuracy of the model and to avoid the problem of singularity of the stiffness matrix of shell elements in a natural way. In this article, a comprehensive review has been written for both new and expert researchers in the field. By summarizing the basic theories that have been used, new researchers can get clarification on the relevant computational methods and, gradually get familiarized with the advantages and drawbacks of each formulation. Expert researchers in the field can track-back the history of membrane elements with drilling rotation through a comprehensive review of relevant references.

自从有限元方法的早期以来，膜有限元就已经变得越来越重要，这是因为它们方便了各种各样的平面和3D壳体问题。许多研究工作都集中在具有钻探旋转作用的膜元件上。这些元素是具有平面内旋转自由度的平面应力有限元。将钻孔旋转引入膜/壳单元的主要动机是提高模型的准确性，并自然避免壳单元刚度矩阵的奇异性问题。本文为该领域的新手和专家研究人员撰写了一篇全面的综述。通过总结已使用的基本理论，新的研究人员可以弄清相关的计算方法，并且 逐渐熟悉每种配方的优缺点。该领域的专家研究人员可以通过对相关参考资料进行全面回顾来追溯钻削膜组件的历史。