Development of a Composite Implicit Time Integration Scheme for Three-Dimensional Discontinuous Deformation Analysis

Discontinuous deformation analysis (DDA) is a discontinuum-based and implicit method for investigating the deformational behavior of block systems. The constant acceleration integration (CAI) scheme characterized by unconditional stability employed in traditional DDA. In this study, problems CAI regarding time step DDA are pointed out. A too large or small size adopted will have adverse effects on computation. To overcome weaknesses, an alternative composite (CITI) scheme, which combination trapezoidal rule three-point backward Euler method, implemented three-dimensional (3D) method. Verification examples slope numerical simulations presented to illustrate accuracy effectiveness proposed methodology. results showed that CITI can error caused size, algorithm damping closely related selected splitting parameter.