A Calculation Method of Macroscopically Equivalent Elastic Modulus of Gradient Materials

Abstract

The invention relates to the technical field of gradient material mechanical analysis, in particular to a calculation method of a gradient material macro equivalent elastic modulus, and the problem that the acquisition efficiency of an existing gradient material macro equivalent elastic modulus is low is solved. The calculation method comprises the steps that relation expressions of the average stress sigma bar of a homogeneous medium layer and the internal stress of materials of all phases are obtained; a relation expression of a disturbance strain difference epsilon' of an inclusion phase and equivalent eigen strain epsilon* is obtained; a disturbance stain difference sigma', disturbance stress sigma bar of a primary phase and disturbance stain epsilon bar of the primary phase are obtained; relation expressions of the homogeneous medium layer average stress sigma bar and the average strain epsilon bar are determined; equivalent moduli L of all homogeneous medium layers are obtained; equivalent bulk moduli K and equivalent shear moduli G of all the homogeneous medium layers are obtained. According to the calculation method of the gradient material macro equivalent elastic modulus, macro equivalent elastic models and the Poisson ratio can be obtained, the material property distribution situation in the gradient region can be obtained to conduct detail stress analysis conveniently, and the modeling workload for conducting detail analysis on the gradient region can be greatly reduced.

Description

technical field [0001] The invention relates to the technical field of mechanical analysis of gradient materials, in particular to a calculation method for the macroscopic equivalent elastic modulus of gradient materials. Background technique [0002] Additive manufacturing technology is a rapid prototyping technology, which uses three-dimensional design data to produce products by accumulating materials layer by layer. Compared with traditional material removal (cutting) technology, it is a "bottom-up" Materials Cumulative Manufacturing Technology. When using additive manufacturing techniques, a gradient material is formed in the transition zone between two different materials. [0003] Additive manufacturing technology reduces manufacturing costs and shortens preparation time, but it also brings challenges to engineering analysis; especially for structural analysis, it is required to input mechanical parameters such as elastic modulus of materials, but gradient materials ...

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Problems solved by technology

[0004] The purpose of the present invention is to provide a calculation method for the macroscopic equivalent elastic modulus of gradient materials, so as to solve the problem of low acquisition efficiency of the macroscopic equivalent elastic modulus of existing gradient materials

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