Shockloaded Elastomer Modeling

Master's Thesis
Extensions of Goal-Oriented Error Estimation Methods to Simulations of Highly-Nonlinear Response of Shock-Loaded Elastomer-Reinforced Structures
This thesis describes extensions of the goal-oriented approach for a posteriori error estimation and control of numerical approximation to a class of highly-nonlinear problems in computational solid mechanics. A new updated Lagrangian formulation and an Arbitrary Lagrangian Eulerian (ALE) formulation of the dynamic, large-deformation response of structures composed of strain-rate-sensitive elastomers and elastoplastic materials is developed. To apply the theory of goal-oriented error estimation, a backward-in-time dual formulation of these problems is derived, and residual error estimators for meaningful quantities of interest are established. The target problem class is that of axisymmetric deformations of layered elastomer-reinforced shells-of-revolution immersed in water and subjected to shock loading due to the ignition of explosive materials in the water in the proximity of the shell. Extensive numerical results on solutions of representative problems are given. It is shown that extensions of the theory of goal-oriented error estimation can be developed and applied effectively to a class of highly-nonlinear, multi-physics problems in solid and structural mechanics.


explosion, polyurea on top configuration,
contact boundary condition

explosion, steel on top configuration,
no stick boundary condition

dual/adjoint solution x-component

dual/adjoint solution y-component