@article {Liu:1 October 2001:1369-4332:217, author = "Liu Y.", author = "Shen L.", author = "Chen Z.", title = "Bifurcation Analyses of Steel and Concrete with Rate-Dependent Properties. Part One: Model Formulation and Verification", journal = "Advances in Structural Engineering", volume = "4", year = "1 October 2001", abstract = "The effects of strain rate on the mechanical properties of carbon steel and plain concrete are investigated through a rate-dependent elasto-plasticity model and rate-dependent elasto-damage model, respectively. Continuum tangent stiffness tensors are derived for both models so that bifurcation analyses can be performed to identify the onset of material failure. Three-dimensional constitutive model solvers are designed and the numerical results are compared with the experimental data to verify the proposed models.", pages = "217-224(8)", url = "http://www.ingentaconnect.com/content/mscp/ase/2001/00000004/00000004/art00005" }