Shahrjerdi Ali, Heydari Hamidreza, Bayat Mehdi, Shahzamanian Mohammadmehdi
Mechanical Engineering Department, Malayer University, Malayer 84621-65741, Iran.
Cvili Engineering Department, Aalborg University, 9220 Aalborg, Denmark.
Materials (Basel). 2024 Sep 16;17(18):4550. doi: 10.3390/ma17184550.
Ratcheting analysis for cantilever beams subjected to the thermomechanical loads is presented using the finite element method. The cantilever beam is constrained along the vertical direction, and plane stress conditions are assumed according to the bilinear isotropic hardening model. Two points are considered to obtain areas of ratcheting by using linear extrapolation. The results and output diagrams for ratcheting with elastic-perfect plastic behavior are illustrated. It was revealed that the beam behaves elastically after the first considerable plastic strain, which is seen in two shakedown regimes. The numerical results are verified with known and analytical results in the literature. The results indicate a strong correlation between the outcomes from the cyclic ANSYS Parametric Design Language (APDL) model and Bree's analytical predictions. This consistency between the finite element analysis and the analytical solutions underscores the potential of finite element analysis as a powerful tool for addressing complex engineering challenges, offering a reliable and robust alternative to traditional analytical methods.
利用有限元方法对承受热机械载荷的悬臂梁进行棘轮分析。悬臂梁沿垂直方向受到约束，并根据双线性各向同性强化模型假定为平面应力条件。通过线性外推考虑两个点来获得棘轮区域。给出了具有弹性理想塑性行为的棘轮分析结果和输出图。结果表明，在首次出现可观的塑性应变后，梁表现出弹性行为，这在两种安定状态下都能看到。数值结果与文献中的已知结果和解析结果进行了验证。结果表明，循环ANSYS参数设计语言（APDL）模型的结果与布里分析预测之间存在很强的相关性。有限元分析与解析解之间的这种一致性强调了有限元分析作为解决复杂工程挑战的强大工具的潜力，为传统解析方法提供了一种可靠且稳健的替代方法。
