Finite deformations of Ogden's materials under impact loading

Abstract: The present paper is devoted to the modeling of finite deformations of a hyperelastic body described by Ogden''s model under contact/impact conditions. Frictional contact problems are solved by means of the bi-potential method. The first order algorithm is applied to integrate the equation of motion. The total Lagrangian formulation is adopted to describe the geometrically non-linear behavior. For the finite element implementation, the explicit expression of the tangent operator is derived including the case of repeated eigenvalues. A numerical example is given to illustrate efficiency and accuracy of the method. [Copyright &y& Elsevier]