The three parameters of I1, J2 and J3 are used to express the thriple shear unified strength theory and the perfectly elasto-plastic constitutive matrix of the finite element method is obtained. This elasto-plastic constitutive model of the thriple shear theory is derived based on the associated flow rule. Taking different intermediate principal stress coefficient b represents different criterions. The thriple shear unified strength theory may be widely applied to civil, geotechnical, mechanical and other engineering.The finite element subroutine (SJMAT.F) of the thriple shear unified strength theory is designed through the subroutine USERMAT.F based on the second development platform (UPFS) of ANSYS software. The detailed steps about ANSYS software calling of the subroutine is given to call the subroutine of SJMAT.F. The theoretical of the circular tunnel and the numerical solutions of are compared based on the sattic hydrostatic pressure condition. Finally, we make sure the elasto-plastic constitutive model of the thriple shear theory and written subroutine correctly.Finally, the thriple shear unified strength theory is applied to the slope stability problems in geotechnical engineering to calculate the stability factor of the slope...
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