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基于有限元法温度荷载作用下楼板阳角裂缝分析

Finite Element Analysis of Corner Cracks in Concrete Floor Slabs Under Temperature Loads

  • 摘要: 在温度荷载作用下,混凝土楼板阳角易产生非结构性裂缝,对居住舒适度与耐久性造成不利影响。针对此问题,本文旨在定量阐明温度作用对楼板阳角力学响应及开裂行为的影响规律。以某实际住宅混凝土楼板为研究对象,首先开展现场检测获取裂缝分布特征及材料参数;随后,结合实际边界约束,利用ABAQUS有限元软件建立三维实体模型,通过施加30°C的温度降幅(由50°C降至20°C),对阳角区域的拉应力分布及裂缝演化过程进行数值模拟。现场检测与数值模拟对比结果显示:在30°C温差荷载下,有限元计算得出的阳角拉应力峰值为1.89 MPa,达到相关混凝土抗拉强度极限值,说明该区域存在开裂风险;模拟显示的裂缝带主要集中在距剪力墙转角0.3 m~1.0 m范围内,与墙体呈约45°夹角。该模拟结果与现场实测的裂缝形态及分布区间高度吻合。综上所述,温度引起的应力集中是诱发楼板阳角开裂的核心因素。本研究所建立的有限元分析模型能够精准反映阳角区域的力学响应,可为类似工程中优化角部配筋方案、制定温度裂缝防治措施提供可靠的量化依据。

     

    Abstract: External corners of concrete floor slabs are prone to non-structural cracks under temperature loads, which adversely affect residential comfort and durability. To address this issue, this study aims to quantitatively elucidate the influence of temperature on the mechanical response and cracking behavior of slab corners. Taking a real residential concrete floor slab as the research object, field inspections were first conducted to obtain crack distribution characteristics and material parameters. Subsequently, incorporating actual boundary constraints, a three-dimensional solid model was established using ABAQUS finite element software. Numerical simulations were performed to analyze the tensile stress distribution and crack evolution in the corner region under a temperature drop of 30 °C (from 50 °C to 20 °C). The comparison results between on-site testing and numerical simulation show that under a temperature difference load of 30 °C, the peak tensile stress of the external corner calculated by finite element method reaches 1.89 MPa, which is the ultimate tensile strength of the relevant concrete, indicating the risk of cracking in this area; The simulated crack zones are mainly concentrated within a range of 0.3 m to 1.0 m from the corner of the shear wall, forming an angle of about 45° with the wall. The simulation results are highly consistent with the measured crack morphology and distribution intervals. In summary, temperature-induced stress concentration is the core factor inducing corner cracking in floor slabs. The finite element model established in this study accurately reflects the mechanical response of the corner area, providing a reliable quantitative basis for optimizing corner reinforcement schemes and formulating temperature crack prevention measures in similar engineering projects.

     

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