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Article Dans Une Revue International Journal of Non-Linear Mechanics Année : 2006

Finite deformations of Ogden's materials under impact loading

Résumé

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.
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Dates et versions

hal-01179039 , version 1 (11-11-2019)

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Zhi-Qiang Feng, François Peyraut, Qichang He. Finite deformations of Ogden's materials under impact loading. International Journal of Non-Linear Mechanics, 2006, 41 (4), pp.575--585. ⟨10.1016/j.ijnonlinmec.2006.02.003⟩. ⟨hal-01179039⟩
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