Multiquadric Method for the Numerical Solution of Biphasic Mixture Model

A computational algorithm based on multiquadric method has been devised to solve the biphasic mixture model. The model includes a set of constitutive equations for the uid ows through the solid phase; a set of momemtum equations for stress-strain equilibrium and a continuity equation for the solid phase and the uid phase. The numerical method does not require the generation of mesh as in the nite element method and hence gives high exibility in applying the method to irregular geometry. Numerical examples are made to compute the solution of the connned compression problem which approximates the non-linear response of soft hydrated tissues under external loadings. The numerical results are compared with Spilker's penalty nite element method.