Simple implementation method for performing gradual homogenized prediction on thermal expansion coefficient of periodic composite material

Abstract

The present invention discloses a simple implementation method for performing gradual homogenized prediction on a thermal expansion coefficient of a periodic composite material. The method comprises the following steps: establishing a single-cell finite element model by means of commercial finite element software, and setting a material parameter in the single-cell finite element model; performing finite element grid division on the single-cell finite element model to obtain nodes and unit information of the single-cell finite element model; determining an initial displacement field according to node coordinate values of the single-cell finite element model; calculating a periodic structure equivalent elastic modulus and a periodic structure equivalent thermoelastic constant; and calculating a thermal expansion coefficient of a periodic composite material. The simple implementation method for performing gradual homogenized prediction on the thermal expansion coefficient of the periodic composite material disclosed by the present invention is convenient to execute, and the method is capable of using the conventional commercial finite element software as a black box to predict the thermal expansion coefficient of the periodic composite material, so that adaptability of a homogenization method is greatly improved; and a process of resolving a strain field in original homogenization and performing integration on each unit is converted to a product of a corresponding displacement field and a node reaction field, which can be obtained in the commercial finite element software, and the process is simplified.

Description

technical field [0001] The invention relates to a new finite element formula for progressively homogenizing and predicting the thermal expansion coefficient of periodic composite materials and a realization method based on commercial finite element software. It belongs to the field of performance characterization of composite materials. Background technique [0002] Thermal expansion is the phenomenon in which the volume of a material / structure changes due to changes in ambient temperature. This temperature-induced shape change is often used in the active control design of sensors and variable body structures. On the other hand, the inherent phenomenon of thermal expansion and contraction of materials also has varying degrees of damage to the functional design of the structure, bringing huge challenges to the design. The basis for structural expansion design and precise deformation control is to construct the functional relationship between thermal expansion coefficient an...

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Problems solved by technology

[0005] According to a series of problems such as complex implementation process, low efficiency, and poor versatility in calculating the expansion coefficient of periodic structures based on the progressive homogenization theory proposed above, a simple method for predicting the thermal expansion coefficient of periodic composite materials based on commercial finite element software is proposed. Implementation

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