Materials such as steel and reinforced concrete are frequently used in blast-resistant structures. However, analytical procedures for those structures are limited to elastic or elastic-plastic small deformations. This paper aims to discuss the feasibility of the application of nonlinear elastic large deformation materials to blast-resistant structures theoretically. Based on the principle of the equivalent structural system and the representation of the transverse and longitudinal displacements of the beam supported with immovable pinned ends by triangular series, a simplified nonlinear analytical method is derived for the beam consisting of nonlinear elastic large deformation materials by Lagranges equations of the second kind. The effectiveness of the proposed analytical method is verified by ABAQUS finite element code, in which the nonlinear elastic large deformation materials are simulated by the hyperelastic model. The blast-resistant properties of the beams consisting of the nonlinear elastic material subjected to the typical blast loads are analyzed, and the discussions about the relationships among the dynamic magnification factor, material property, and the blast load are given. The analytical results show that the blast resistance of the beam consisting of nonlinear elastic large deformation materials is much better than that of the beam consisting of linear elastic small deformation materials, and the structural blast-resistance increases greatly with the increasing of the structural deformation.
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