Computational methods in Lagrangian and Eulerian hydrocodes
Computer Methods in Applied Mechanics and Engineering
Convergence to steady state solutions of the Euler equations on unstructured grids with limiters
Journal of Computational Physics
Algebraic limitations on two-dimensional hydrodynamics simulations
Journal of Computational Physics
Towards the ultimate conservative difference scheme V. A second-order sequel to Godunov's method
Journal of Computational Physics - Special issue: commenoration of the 30th anniversary
Numerical preservation of symmetry properties of continuum problems
Journal of Computational Physics
The construction of compatible hydrodynamics algorithms utilizing conservation of total energy
Journal of Computational Physics
Journal of Computational Physics
Computer Simulation of Dynamic Phenomena
Computer Simulation of Dynamic Phenomena
A free-Lagrange augmented Godunov method for the simulation of elastic-plastic solids
Journal of Computational Physics
Journal of Computational Physics
Modelling wave dynamics of compressible elastic materials
Journal of Computational Physics
Short Note: Volume consistency in a staggered grid Lagrangian hydrodynamics scheme
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Discretization of hyperelasticity on unstructured mesh with a cell-centered Lagrangian scheme
Journal of Computational Physics
International Journal of Computational Fluid Dynamics
Journal of Computational Physics
Hi-index | 31.45 |
A finite volume cell-centered Lagrangian formulation is presented for solving large deformation problems in cylindrical axisymmetric geometries. Since solid materials can sustain significant shear deformation, evolution equations for stress and strain fields are solved in addition to mass, momentum and energy conservation laws. The total strain-rate realized in the material is split into an elastic and plastic response. The elastic and plastic components in turn are modeled using hypo-elastic theory. In accordance with the hypo-elastic model, a predictor-corrector algorithm is employed for evolving the deviatoric component of the stress tensor. A trial elastic deviatoric stress state is obtained by integrating a rate equation, cast in the form of an objective (Jaumann) derivative, based on Hooke's law. The dilatational response of the material is modeled using an equation of state of the Mie-Gruneisen form. The plastic deformation is accounted for via an iterative radial return algorithm constructed from the J"2 von Mises yield condition. Several benchmark example problems with non-linear strain hardening and thermal softening yield models are presented. Extensive comparisons with representative Eulerian and Lagrangian hydrocodes in addition to analytical and experimental results are made to validate the current approach.