Finite Element Procedure of Initial Shape Determination for Hyperelasticity
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.
KeywordsDeformation Gradient Initial Shape Deformation Mapping Finite Element Procedure Store Energy Density
Unable to display preview. Download preview PDF.