Method for simulating effective time varying and super-elastic responses of SMA polymer base material

Abstract

The invention provides a method for simulating effective time varying and super-elastic responses of an SMA polymer base material.The method comprises the steps that increment constitutive equations of a component material are set up, wherein the constitutive equation of a linear heat-viscoelastic polymer within a time domain and the three-dimension increment heat-force coupling constitutive equation of SMA are set up; an SMA polymer base material uniform increment constitutive equation is set up; a micro-mechanical model for solving the effective material attributes and a wave function of the SMA polymer base material is set up based on the theory of variational asymptotic homogenization; a local field reconstitution relationship is set up based on the wave function and the overall responses; finally, the effective time varying and super-elastic behavior characteristics of the SMA polymer base material are described.According to the method, the non-obligatory boundary conditions are adopted, the attributes of different materials in different directions can be obtained simply through one solving process, and compared with a method repeatedly operated under different loading conditions, the method is simpler, more convenient, more efficient and faster.

Description

technical field [0001] The invention relates to the field of mechanical performance analysis of materials, in particular to a simulation method for effective time-varying and hyperelastic responses of SMA polymer-based materials. Background technique [0002] SMA (short for asphalt mastic macadam mixture) polymer-based material is a new type of smart material formed by embedding SMA fibers, particles or thin layers into a polymer matrix. The two main phenomena related to SMA are: (1) superelasticity (pseudoelasticity, PE), that is, in a hysteresis loop, a large nonlinear elastic strain is generated under loading, which can be fully restored after unloading; (2) single One-way or two-way shape memory effect. This ability of SMA satisfies some special requirements in aerospace and ship structures well, and it is a promising new material. Utilizing the above characteristics of SMA in structural design can effectively increase the damping and seismic performance of the system,...

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Problems solved by technology

[0005] In view of the above-mentioned deficiencies in the prior art, the patent of the present invention provides an efficient and reliable simulation method for the effective time-varying and hyperelastic response of SMA polymer-based materials, which solves the thermal-mechanical coupling of SMA polymer-based materials in the prior art Insufficient analysis efficiency and poor precision exist in the research, especially the problem of insufficient prediction accuracy of macroscopic viscoelastic response

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