Numerical Implementation Of A Soil Hypoplastic Model And Its Applications

The hypoplastic model is a newly proposed constitutive model for the soils, researchers have done many researches on this and made it much more conformable to the truth. Since the hypoplastic model overcomes some disadvantages of the elastic-plastic theory. its applications are much wider. The critical state method has been introduced to the hypoplastic model, because it is capable to describe the affection on the pressure and solidity of materials behaviours.Compared with the existing numerical methods, the scholars have put forward a new one-meshless method, which can overcome some shortcomings of the existing numerical methods. The meshless method using interpolation or approximation function to construct a test function, coupled with the method of weighted residuals and variational principle to establish the system of equations to obtain numerical solutions, rather than using a connected unit to discrete the problem domain.The theory of hypoplastic model is introduced, while its numerical program code has been developed. With this program, problems in geotechnical engineering are analyzed by using finite element method and meshfree RKPM. Based on these calculations, the accuracy and efficiency of this program are tested.