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摘要:
In the finite element numerical simulation of the non-linear whole process curve of the force-displacement relation of materials, components and structures, the simulation of ultimate strength and the subsequent softening and declining curve segment are always a difficult problem not well solved. The incremental displacement control method can conveniently step over the extreme point of the force-displacement relation curve, thusly it is usually applied in solving the non-linear whole process curve of the force-displacement relation of materials, components and structures containing the softening and declining curve segment behind the ultimate strength point. But the traditional incremental displacement control method needs to rearrange the stiffness matrix of the finite element equations, and there is also a problem of solving asymmetric or non-zonal coefficient equations, consequently its popularization and application are restricted. In this paper, a new incremental displacement control method is proposed. By modifying the related diagonal coefficients in the stiffness matrix, this method conceals the displacement control conditions of the boundary and the force functional points in the finite equations, and thereby it can be solved in the same way with the finite element load control method, ensuring the symmetry and zonality of the coefficient matrix of the finite element equations in the solving processes, and it can be conveniently implemented in current commercial finite element software. The example analysis shows the effectiveness of this method.
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