沥青混凝土路面温度场和应力场耦合模型

Study on Coupling Model of Temperature and Stress Fields for Asphalt Concrete Pavement

基于能量平衡和热力学第二定律,针对环境条件和行车荷载对沥青混凝土路面的实际作用,建立了粘弹性沥青路面的温度场和应力场耦合作用数学模型.将数学模型和边界条件对时间t施加Laplace变换,运用参数变易法,在象空间内进行了模型的求解,得到了象空间内温差函数和位移解的表达式.这为深入研究粘弹性路面在气候条件和荷载条件下的变形演化规律奠定了理论基础.

Considering the real effect to the asphalt concrete pavement in the condition of environment and vehicle load, a coupling model of temperature and stress fields for viscoelastic pavement is established based on the energy balance equation and second law of thermodynamics. The mathematical model and boundary condition is made Laplace transformation for time parameter. Using the method of variation of parameters, an analytical solution of temperature-difference and displacement is obtained in transfer space. The result in the paper can be used to the profound study on deforming evolvement of viscoelastic pavement in condition of climate and load.