Multiquadric method for the numerical solution of a biphasic mixture model

摘要

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