Present investigation includes formulation of new nonlinear material constitutive mathematical models of steel fiber reinforced concrete (SFRC) material depending on many experimental data available in literature. Eight-node degenerated plate elements were used to investigate the dynamic performance of SFRC slabs and beams under blast and impact loadings. Two models are used to simulate the compressive behavior of fibrous concrete material namely the elastic perfectly plastic and strain hardening plasticity models. Dynamic yield function is assumed to be a function of strain rate. Geometrical nonlinearity in the layered approach is considered in the mathematical model, which is based on the total Lagrange approach taking into account Von Karman assumptions. Implicit Newmark with corrector-predictor algorithm was adopted for time integration solution of the equation of the motion. Concrete crack pattern has been determined according to smeared fixed crack approach. Present numerical outputs show suitable agreement with experimental results available in literature which include deflections and failure pattern. © 2010 Elsevier Ltd. All rights reserved.