Nowadays, large part of the technical knowledge associated with collapses of slabs is based on past failures of bridges, floors, flat roofs and balconies. Collapse mechanisms tend to often differ from each other due to unique features which make it difficult to derive a generalised technique that can predict the right mechanism. This paper proposes a novel algorithm for tackling the problem of detection of collapse mechanisms, which is part of a pseudo-lower bound method for assessing concrete slabs in bridges and buildings. The problem is generalised to a combinatorial one, and the solution is based on a set of well-known combinatorial optimization algorithms. The proposed approach enables an identification of the domain of existence of yield-lines potentially leading to collapse. The output provides an estimation of a hampered domain of feasible yield-lines through which engineers can quickly identify zones of the slab and directions in which yield-lines leading to collapse are more likely to occur. Numerical applications of the algorithm are presented herein.

如今，与楼板倒塌相关的大部分技术知识都是基于过去的桥梁、地板、平屋顶和阳台的故障。由于独特的功能，崩溃机制往往彼此不同，这使得很难推导出可以预测正确机制的通用技术。本文提出了一种解决倒塌机制检测问题的新算法，该算法是用于评估桥梁和建筑物中混凝土板的伪下界方法的一部分。将问题推广到组合问题，解决方案基于一组众所周知的组合优化算法。所提出的方法能够识别可能导致坍塌的屈服线的存在域。输出提供了对可行屈服线的受阻域的估计，工程师可以通过它快速识别板的区域以及更可能发生导致坍塌的屈服线的方向。此处介绍了该算法的数值应用。