Finite Element Procedure of Initial Shape Determination for Hyperelasticity

  • Takahiro Yamada


Flexible or expansible materials such as rubber-like ones are widely used under large deformed states in the structures. In such situations, severe singularity with stress concentration often appears and hence large deformed shapes under some loading conditions should be considered to design the shape of the structure of such materials. To analyze this type of large deformation problems, hyperelasticity is often employed in the computational mechanics, In this work, we develop a numerical procedure for an initial shape determination problem of hyperelasticity which enables us to calculate an initial shape corresponding to the given deformed shape.


Deformation Gradient Initial Shape Deformation Mapping Finite Element Procedure Store Energy Density 
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  1. [1]
    T. Yamada and F. Kikuchi, An arbitarary Lagrangian-Eulerian finite element method for incompressible hyperelasticity, Computer Methods in Applied Mechanics Engineering, Vol. 102 (1993), pp.149–177.MathSciNetMATHCrossRefGoogle Scholar
  2. [2]
    T. Yamada, A rezoning procedure for finite element analysis of incompressible hyperelasticity, Computing Systems in Engineering, Vol.4 (1993), pp.59–68.CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1995

Authors and Affiliations

  • Takahiro Yamada
    • 1
  1. 1.Tokyo Institute of TechnologyYokohamaJapan

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