[关键词]
[摘要]
路基工后沉降直接关乎公路的安全性能,蠕变行为的预测对保障路基工程的长期安全具有重要意义。对蠕变行为进行有限元数值模拟时,复杂结构模型的网格划分需要耗费大量的计算资源,且计算量大计算时间长。本文提出了一种考虑蠕变的任意多边形杂交应力新单元(PHSEM),用于工程中的路基沉降问题研究。基于杂交应力元法及路基土的蠕变行为,推导PHSEM的单元基本格式,分析表明该单元引入了高阶应力场,能更好的提高计算精度。进一步建立了路基蠕变的数值计算模型,并结合有限元软件MARC开展对比分析。研究表明:PHSEM的数值仿真曲线拟合良好,验证了考虑蠕变的任意多边形杂交应力单元的有效性;PHSEM在划分网格时形状可以是任意边数的多边形,能够很好的模拟多种介质的路基模型,真实地计算出不同部位的应力分布情况;PHSEM的构造为实际工程中的蠕变研究提供了一种可参考的新思路。
[Key word]
[Abstract]
The post-construction settlement of roadbed is directly related to the safety performance of highway. The prediction of creep behavior is of great significance to ensure the long-term safety of roadbed engineering. In finite element numerical simulation of creep behavior, the meshing of complex structural models requires a large amount of computational resources, as well as a large amount of computational time. In this paper, a new arbitrary polygonal hybrid stress element (PHSEM) considering creep is proposed for roadbed settlement problems in engineering. Based on the hybrid stress element method and the creep behavior of roadbed soil, the basic element format of PHSEM is derived. The analysis shows that this element introduces a higher-order stress field, which can better improve the calculation accuracy. The numerical calculation model of roadbed creep is further established, and the comparative analysis is carried out with MARC. The study shows that: the numerical simulation curves of PHSEM are well fitted, and the deviation is within a reasonable range, which verifies the validity of arbitrary polygonal stress hybrid element considering creep; the element can be a polygon with variable number of edges when meshing, which can well simulate the roadbed model with multiple media and realistically calculate the stress distribution in different parts; the establishment of PHSEM provides a new idea for creep research in practical engineering.
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[基金项目]
国家自然科学基金资助项目(12072135,1222780074);中国长江电力股份有限公司资助项目(Z412302007)