A time integration method for the equations of motion is developed based on Gauss implicit Runge-Kutta to high-accurate solving responses in structural vibration. The present possesses features unconditional stability and self-starting can achieve fourth-order accuracy displacement, velocity, acceleration simultaneously. algorithm a matrix form no need iterate calculation. convergent verified b...

In this paper, three-dimensional elasto-plastic finite element analysis was performed on flexible pavements under vertical repeated traffic loads to evaluate their shakedown behavior. Six different pavements with different structural number (SN) were modeled and subjected to a wide range of cyclic vehicle loads. Shakedown limits were obtained considering both failure and serviceability restrain...