Abstract:Abstract: By utilizing an expanding technique, this paper presents a piecewised adaptive algorithm in time domain to solve viscoelastic problems with large deformation, and develops an explicit recursive Update-Lagrange FE formula. The iteration, except at the initial time interval where a large deformation elastic problem is needed to solve, is not required at any other time interval. A self-adaptive computing can be realized by controlling the computing accuracy via the increase of expanding powers. Numerical verification provides satisfactory results.