Finite element analysis (FEA) is an extensively exercised numerical procedure to address numerous problems in several engineering fields. However, the accuracy of conventional FEA solutions is significantly affected in specific circumstances where the problem demands near-incompressibility or incompressibility of domain or analysis of thin structural geometries. Over time, several advanced FE models are developed to improve the quality of solutions in stated situations. However, the extensive comparative aspects of these methods are spared limited attention. In the present paper, a comprehensive review and comparison of the selected FE models have been presented. The detailed implementation procedure, along with the relative efficacy of the methods, has been derived for selective reduced integration (SRI), enhanced assumed strain (EAS), assumed natural strain (ANS), and a specific class of hybrid stress elements alongside the conventional FE formulation. The quality of results is assessed by evaluating the relative error norms in displacement and stress on well-established benchmark numerical examples. Furthermore, the paper investigates the methods for several parameters that include the method’s best-suited environment, robustness, and efficiency. The findings in the paper provide an elaborate understanding of the optimal choice of the method in locking-dominated problems.

有限元分析 (FEA) 是一种广泛应用的数值程序，可解决多个工程领域的众多问题。然而，在问题需要域近不可压缩或不可压缩或薄结构几何分析的特定情况下，传统 FEA 解决方案的准确性会受到显着影响。随着时间的推移，一些先进的有限元模型被开发出来，以提高特定情况下解决方案的质量。然而，这些方法的广泛比较方面却受到了有限的关注。在本文中，对所选的有限元模型进行了全面的回顾和比较。详细的实施过程以及这些方法的相对功效是针对选择性减少积分（SRI）、增强假设应变（EAS）、假设自然应变（ANS）以及传统的混合应力元素的特定类别而推导出来的。有限元公式。通过评估已建立的基准数值实例的位移和应力的相对误差范数来评估结果的质量。此外，本文还研究了该方法的几个参数，包括该方法的最适合环境、稳健性和效率。本文的研究结果提供了对锁定主导问题中方法的最优选择的详细理解。