The invention discloses a high-precision polygon cross-order solving method and
coupling analysis application, and belongs to the technical field of
geotechnical engineering numerical analysis methods. The method comprises the following steps: S1, taking a grid, a material, a load and an output
data file as input of a calculation model; s2, acquiring node numbers contained in each unit and corresponding node position coordinates, unit types, material parameters and integral points; s3, obtaining a material constitutive matrix of each unit in the S1; s4, determining the position of an integral point of each unit, and obtaining a feature value and a
feature vector; s5, calculating a strain matrix value and a
shape function at each integral point of the polygon unit; s6, obtaining a
mass matrix and a
stiffness matrix at each
integration point; and S7, based on S1 to S6, numerical solution is carried out according to the working conditions needing to be calculated. According to the method, the combination of a cross-scale
grid analysis method and a cross-order
analysis method can be realized, and the contradiction between the solving precision and the calculation efficiency is balanced; the method can perform refined bending analysis on the polygonal unit, solves the problem of first-order unit shearing self-locking, and has relatively high analysis performance and universality.