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为了分析湿度梯度对水泥混凝土路面力学性能的影响,采用弹性力学的基本分析方法推导了非均匀无限水泥混凝土路面板在完全自由、轴向变形约束、弯曲变形约束、弯曲和轴向变形组合约束下的湿度翘曲应力计算公式,利用弯矩等效原理,推导了基于湿度翘曲应力的等效温度梯度公式,基于连续配筋混凝土路面,采用有限元法计算了非线性湿度分布情形下水泥稳定基层、粒料基层、沥青混凝土基层、沥青稳定基层、水泥土基层和自然土基层下的板顶和钢筋的应力与板的裂缝宽度。研究结果表明:湿度翘曲应力的大小取决于相对湿度的分布形式;板顶应力随基层刚度的增大而增大,当基层刚度从0.08 MPa·mm-1增大到6.28 MPa·mm-1时,板顶应力从4.1 MPa增大到6.3 MPa;基层类型几乎不影响钢筋的应力;裂缝端部水平位移从板底至板顶逐渐增大,大约从0.0mm增大到2.9mm。
In order to analyze the influence of humidity gradient on the mechanical properties of cement concrete pavement, the basic analytical method of elasticity was used to derive the results of the analysis of the free and axial deformation constraints, The calculation formula of the humidity warping stress is deduced. Based on the equivalent principle of bending moment, the equivalent temperature gradient formula based on the warpage stress is derived. Based on the continuous reinforced concrete pavement, the stability of the cement under non-linear humidity distribution is calculated by the finite element method The stresses of the roof and reinforcement under the grassroots, gravel base, asphalt concrete base, asphalt stabilized base, cement-soil base and natural soil basement and the crack width of the board. The results show that the magnitude of the warpage stress depends on the distribution of relative humidity. The stress at the top of the slab increases with the increase of the base stiffness. When the stiffness of the basement increases from 0.08 MPa · mm-1 to 6.28 MPa · mm-1 , The stress at the top of the slab increases from 4.1 MPa to 6.3 MPa. The type of the foundation hardly affects the stress of the rebar. The horizontal displacement at the tip of the crack gradually increases from the bottom of the slab to the top of the slab, increasing from 0.0 mm to 2.9 mm.