Simulation method for vibration cumulative deformation based on compressive nonlinear change and shear-shrinkage abrupt change characteristic materials

Abstract

The invention discloses a simulation method for vibration cumulative deformation based on compressive nonlinear change and shear-shrinkage abrupt change characteristic materials, and relates to the field of deformation of metered solids. In order to simulate the vibration cumulative deformation of the compressive non-linear change and the shear-shrinkage abrupt change characteristic material, based on a cyclic constitutive model theory and a numerical value implementation method, an acquisition step of related cyclic constitutive model parameters is executed, and a stress-driven simulation step of the vibration cumulative deformation of the related material is executed. According to the invention, the behavior that the rigidity and the strength of the material are nonlinearly changed along with the ambient pressure and the relative compactness can be comprehensively reflected; the characteristic that the shear shrinkage trend of the material changes suddenly along with the increase ofthe shear stress can be reflected; the simulation step has first-order accuracy and unconditional linearization stability; and the long-term accumulated axial deformation, shear deformation and volume deformation of the material can be accurately predicted.

Description

technical field [0001] The invention relates to the field of measuring the deformation of a solid, in particular to a simulation method based on the vibration accumulation deformation of a material with the nonlinear change of compressibility and the abrupt change in shrinkage. Background technique [0002] Under the long-term cyclic loading of the upper structure of the dynamic foundation or the upper equipment, the foundation soil will undergo significant deformation accumulation. Once the cumulative deformation of the foundation soil is large enough, safety and serviceability problems will arise for the superstructure or topside equipment. In order to deal with the safety and applicability problems caused by long-term cumulative deformation of materials, it is necessary to simulate the cumulative deformation of materials according to the law of cumulative deformation of materials under long-term cyclic loading, combined with cyclic constitutive model theory and numerical ...

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Problems solved by technology

[0006] Insufficiency of the Hoek-Brown condition: Since the Hoek-Brown condition needs to determine the uniaxial compressive strength of the complete rock, this type of model is not suitable for soil

The model does not contain back stress term, so it is not convenient to combine with kinematic hardening law to describe the behavior of materials under cyclic loading

In addition, the Hoek-Brown condition does not consider the influence of relative compactness on the nonlinearity of the shear yield surface

[0007] Insufficiency of the Desai model: The Desai series models do not consider the influence of density on the nonlinearity of the shear yield surface

[0008] Deficiencies of the Lade model: ① The Lade double-yield surface model does not contain the back stress item, which is not convenient to combine with the kinematic hardening law to describe the behavior of materials under cyclic loading

In addition, the Lade double yield surface model does not consider the influence of density on the nonlinearity of the shear yield surface

②The Lade closed single yield surface model does not consider the influence of density on the nonlinearity of the shear yield surface

[0009] Insufficiency of the model of the Chinese People's Liberation Army Logistics Engineering Institute: Neither the hyperbolic shear yield surface model nor the parabolic shear yield surface model has considered the nonlinear influence of density on the shear yield surface

[0010] Insufficiency of the Saniclay model: The annular yield surface model of the Saniclay model does not consider the influence of density on the nonlinearity of the shear yield surface

[0012] Insufficiency of the coupled hardening model: The A-F kinematic hardening model and the Chaboche isotropic hardening model of the coupled hardening model do not consider the stiffness and strength of the material affected by the surrounding pressure and relative density

[0013] Insufficiency of the boundary surface model: the relationship between the plastic hardening modulus and the density of the Sanisand model in the boundary surface model is only a linear relationship, while the relationship between the plastic hardening modulus and the density of most materials is a nonlinear relationship, such as Nanning round gravel

[0019] The midpoint Euler difference method is unconditionally stable and has second-order accuracy, but the calculation process is more complicated than other methods

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