Phase field material point method for large deformation fracture analysis of rock-soil structure

A technology of large deformation and material point, applied in the field of computational mechanics, to overcome the incompleteness of complex mechanical behavior, reduce complexity, and simplify complexity

Active Publication Date: 2021-09-07
DALIAN UNIV OF TECH
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

However, compared with the finite element method (FEM) and other meshless methods, the material point method (MPM) is less applied to the numerical simulation of fracture damage of geote

Method used

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  • Phase field material point method for large deformation fracture analysis of rock-soil structure
  • Phase field material point method for large deformation fracture analysis of rock-soil structure
  • Phase field material point method for large deformation fracture analysis of rock-soil structure

Examples

Experimental program
Comparison scheme
Effect test

Embodiment 1

[0178] (1) Embodiment 1: single opening plate tensile failure test (attached Figure 6-8 )

[0179] Embodiment 1 is a standard numerical example for a single-opening plate tensile failure experiment, and its structural dimensions and boundary conditions are as follows Figure 6 shown. The square plate was discretized into 249,000 material points, and the corresponding background grid was discretized into 255×255 four-node rectangular units with side length h=0.004mm, and 2×2 material points were set in each grid. Apply an incremental displacement Δu=10 to the upper boundary of the structure -6 mm, and the material parameters are shown in Table 1 below.

[0180] Table 1 Material parameter list of tensile failure test of single opening plate

[0181]

[0182] Figure 8 Shown is the phase field fracture nephogram of the single-opening plate tensile failure experiment at the loading displacement u=0.005525mm, u=0.0058mm and u=0.006mm, Figure 7 The comparison results of t...

Embodiment 2

[0183] (2) Example 2: Simulation of surrounding rock stress state and plastic deformation around the horizontal borehole in the plane strain domain (attached Figures 9 to 11 )

[0184] Example 2 is to verify the effectiveness and accuracy of the Drucker-Prager cap plastic constitutive model with smooth double yield surfaces, and simulate the stress state and plastic deformation behavior of the surrounding rock surrounding the horizontal borehole in the plane strain domain. The schematic diagram of the horizontal drilling structure size and boundary conditions in the quarter plane strain domain is shown in Fig. Figure 9 As shown in (a), the drilling radius R=107.95mm, the vertical confining pressure σ V =32.1Mpa, horizontal confining pressure σ H =9Mpa. In order to simulate the confining pressure stress state and plastic deformation behavior under different drilling pressures, we set four sets of drilling pressures P = 0, 4, 6, 8 MPa. The results of fine mesh division are...

Embodiment 3

[0190] (3) Embodiment 3: plane strain compression plastic fracture failure experiment (attached Figures 12 to 18 )

[0191] Example 3 is a plane strain compression experiment under different confining pressures to verify the elastoplastic fracture behavior of rock and soil materials. Figure 12 A schematic diagram of the structural size and boundary conditions of the rock specimen is given. The circle in the figure is the weakened area that guides the non-uniform deformation of the structure, and the cohesion strength C of all material points in the circle is set to be 98% of other areas. The specimen is discretized into 120×300 material points, and the corresponding background grid is discretized into 70×152 four-node rectangular units with side length h=0.5mm, and 2×2 material points are set in each grid. Set seven groups of boundary confining pressure σ c =5, 20, 40, 60, 100, 150, 200MPa, apply a downward displacement increment Δu=10 on the upper boundary of the structur...

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Abstract

The invention belongs to the field of computational mechanics, and provides a phase field material point method for large deformation fracture analysis of a rock-soil structure, which considers the complex fracture phenomenon of brittleness-to-plasticity transformation of a high-porosity rock-soil material under the action of complex external factors, and widens the application range of the material point method in the field of solid material fracture. According to the method, a phase field fracture model is adopted as a damage function, so that a complex crack propagation path can be accurately and efficiently captured, and a smooth double-yield-surface Drucker-Prager cap plastic constitutive model is adopted to accurately and comprehensively describe complex mechanical behaviors of the pressure-sensitive geotechnical material; and the coupling effect of the phase field fracture model and the plastic constitutive model is realized by introducing the phase field effective stress. In addition, a CPDI interpolation method is adopted to improve the numerical stability and the boundary application accuracy, and an interlaced iteration solution strategy is implemented to improve the calculation efficiency and reduce the numerical implementation complexity.

Description

technical field [0001] The invention belongs to the field of computational mechanics, and in particular relates to a phase field material point method for large deformation fracture analysis of rock and soil structures. Background technique [0002] The deformation process of many geotechnical engineering structures such as landslides, bridge collapses, foundation settlements, and dam failures involves complex fracture failure problems, such as brittle / plastic fracture failure, multi-physics field coupling fracture failure, etc. For the study of the fracture failure mechanism of large-scale geotechnical engineering structures, it is not only difficult and expensive to implement through experimental means, but also it is difficult to consider the influence of multiple external factors on its fracture failure at the same time. Numerical simulation method, as an emerging high-performance numerical computing technology, provides a feasible solution for in-depth exploration of th...

Claims

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Application Information

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IPC IPC(8): G06F30/13G06F30/25G06F111/04G06F111/10G06F119/14
CPCG06F30/13G06F30/25G06F2111/04G06F2111/10G06F2119/14
Inventor 胡志强郑勇刚刘宇叶宏飞张涵博郑章成刘振海
Owner DALIAN UNIV OF TECH
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