Department of Structural and Geotechnical Engineering, Széchenyi István University, Győr, 9026, Hungary.
Sci Rep. 2023 Apr 4;13(1):5461. doi: 10.1038/s41598-023-32787-y.
Due to the growing significance of structural theories concerning the composite structure analysed and designed plastically, this paper introduces a new optimisation method for controlling the plastic behaviour of a full-scale composite integral abutment bridge by employing complementary strain energy of residual forces that existed within the reinforcing rebars. Composite bridges are structures made of components such as steel and concrete, which are frequent and cost-effective building methods. Thus, various objective functions were used in this work when applying optimum elasto-plastic analysing and designing the composite integrated bridge structure that was tested experimentally in the laboratory. In contrast, the plastic deformations were constrained by restricting the complementary strain energy of the residual internal forces aiming to find the maximum applied load and the minimum number of steel bars used to reinforce the concrete column part of the structure. The numerical model employed in this paper was validated and calibrated using experimental results, which were considered inside ABAQUS to produce the validated numerical model, using concrete damage plasticity (CDP) constitutive model and concrete data from laboratory testing to solve the nonlinear programming code provided by the authors. This paper presents a novel optimization method using complementary strain energy to control the plastic behaviour of a full-scale composite integral abutment bridge, with the original contribution being the incorporation of residual forces within reinforcing rebars to limit plastic deformations. Following that, a parametric investigation of the various optimisation problems revealed how models performed variously under different complementary strain energy values, which influenced the general behaviour of the structure as it transitioned from elastic to elasto-plastic to plastic; also results showed how the complementary strain energy value is connected with the amount of damaged accrued in both concrete and steel.
由于结构理论对于塑性分析和设计的复合结构的重要性日益增加，本文介绍了一种新的优化方法，通过利用残余力的补充应变能来控制全尺寸复合整体式桥台的塑性行为，残余力存在于增强钢筋内。复合桥梁是由钢和混凝土等构件组成的结构，是常见且具有成本效益的建筑方法。因此，在应用最佳弹塑性分析和设计进行实验测试的复合整体式桥梁结构时，本文使用了各种目标函数。相反，通过限制残余内力的补充应变能来约束塑性变形，以找到最大应用荷载和用于增强结构混凝土柱部分的最小钢筋数量。本文中使用的数值模型是使用实验结果进行验证和校准的，这些结果被考虑在内 ABAQUS 中，使用混凝土损伤塑性 (CDP) 本构模型和来自实验室测试的混凝土数据来解决作者提供的非线性规划代码。本文提出了一种使用补充应变能控制全尺寸复合整体式桥台塑性行为的新优化方法，其创新点在于将增强钢筋内的残余力纳入其中以限制塑性变形。之后，对各种优化问题的参数研究表明，不同补充应变能值下模型的表现如何，这影响了结构从弹性到弹塑性再到塑性的一般行为；结果还表明补充应变能值如何与混凝土和钢中累积的损坏量有关。
