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Structural Engineering and Mechanics
  Volume 24, Number 2, September30 2006, pages 227-245

A compressible finite element model for hyperelastic members under different modes of deformation
M. C. Manna and A. H. Sheikh and R. Bhattacharyya

    The performance of a three dimensional non-linear finite element model for hyperelastic material considering the effect of compressibility is studied by analyzing rubber blocks under different modes of deformation. It includes simple tension, pure shear, simple shear, pure bending and a mixed mode combining compression, shear and bending. The compressibility of the hyperelastic material is represented in the strain energy function. The nonlinear formulation is based on updated Lagrangian (UL) technique. The displacement model is implemented with a twenty node brick element having u, v and w as the degrees of freedom at each node. The results obtained by the present numerical model are compared with the analytical solutions available for the basic modes of deformation where the agreement between the results is found to be satisfactory. In this context some new results are generated for future references since the number of available results on the present problem is not sufficient enough.
Key Words
    nonlinear finite element model; compressible strain energy function; hyperelastic material.
M. C. Manna and A. H. Sheikh; Department of Ocean Engineering and Naval Architecture, Indian Institute of Technology, Kharagpur – 721 302, India
R. Bhattacharyya; Department of Mechanical Engineering, Indian Institute of Technology, Kharagpur – 721 302, India

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