The Mathematical Instrument Exploitation For Plastic Forming Finite Element Method

The field of numerical simulation for metal plastic forming nowadays is more active and more attractive because of its enormous importance to the economies of the industrialized countries. With the application of numerical simulation technique in product development, design periodicity is shortened, cost is reduced and quality is promoted. There is great significance to the development of mechanical manufacture industry. With the development of finite element technique, numerical simulation has gradually been the powerful tool for process analysis and optimal design. In recent years, the developments of computer hardware as well as the theory of finite element have made it possible that finite element simulation plays a very important role in the process of metal plastic forming. Therefore, it is necessary to develop special plastic forming FEM system.The paper first introduces the process for the exploitation of finite element software and has been the clear target that exploiting the mathematical instrument for solvers. The matrix class library which has been exploited to utilize the object -oriented language (C++) has realized matrix calculation and reuse for element stiffness matrix (The element form is optional) and reduced exploitation costs. Using Reference variable, dynamic memory allocation function-calloc function and inline function can increase the efficiency of element matrix calculation. The paper illustrates the high efficiency of this kind of matrix through the use of comparative examples.Through comparing several kinds of storage schemes of global stiffness matrix, it can obtain the conclusion that it is one ideal storage scheme to one-dimension compressed format of changing the band width, because of the character: symmetry, sparse, banding and singularity in global stiffness matrix. Improving storage scheme of changing the band width makes more null elements not to need to save, which saves the memory and enhances the efficiency.Equaling node load and disposing offset boundary condition can simplify global balance equation. Through comparing several kinds of solution methods of global balance equation, it can obtain the conclusion that it is one ideal method to the DSS symmetrical resolving method for solving large-scale equations, because this solution method consumes the least machine-hour and memory. The paper illustrates that it is correct to create this kind of large-scale global balance equation frame through the use of comparative examples.