Application of linear viscoelastic differential constitutive equation in ABAQUS

There are a number of ways to describe the rheological behavior of rock and soil, in which the establishment of differential constitutive equations is intuitive, and convenient for application. The paper sets out how the linear viscoelastic differential constitutive equations applied in ABAQUS. Using Laplace transform, three commonly used differential constitutive equations are derived into prony series forms for the direct definition of ABAQUS viscoelastic parameters. Through a series of examples, the analytical solutions of creep and relax are compared with the numerical solutions. All comparative results express a fair agreement with the analytic solution, so the validity of derivation methods is verified. Finally, as a example, the bridge anchorage distribution law of displacement field is obtained by viscoelastic analysis.