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In this paper, we present and validate a simple adaptive surface remeshingtechnique to transfer history dependent variables from an old distorting meshto a new mesh during finite element simulations of elastic surface deformation.This technique allows us to reduce the error arising from excessive meshdistortion whilst preserving information about the initial configuration of themesh and the history dependent variables. The transfer technique presented hereconstructs the initial configuration of the new mesh by considering thedistortion incurred by the elements of the old mesh and projecting backward intime. Using this new initial configuration, the stress and strain over the newmesh can be easily calculated. After presenting the necessary steps toreconstruct the initial configuration, we show that this relatively simpletransfer technique adds stability to finite element simulations and reduces thespatial error and the strain error across the domain. The novel transfertechnique presented in this paper is easy to implement and provides a simplestrategy to add stability to simulations undergoing large deformations.

A simple history dependent remeshing technique to increase finite element model stability in elastic surface deformations