Generalized Fractional Maxwell Constitutive Model for Mn-Cu Damping Alloy

doi:10.3969/j.issn.1000-1093.2021.06.020

Abstract

Abstract: A three-parameter constitutive equation based on the generalized fractional Maxwell model for Mn-Cu damping alloy is proposed. The accuracy of the constitutive model is analyzed and verified by uniaxial cyclic tensile test with constant strain rate. The applicability of the constitutive model is broadened by the mean coefficient method, and the fitting performance of the generalized fractional Maxwell model is studied. The results show that the constitutive relation of the Mn-Cu-based damping alloy has a strong nonlinearity. Its stress-strain curve is like a shuttle, and its hysteresis area increases with the increase in the maximum strain amplitude. The generalized fractal Maxwell model can well describe the nonlinear and hysteresis characteristics of the stress-strain curve of M2052 damping alloy. The mean square deviation of the fitting is between 0.468 4 and 2.651 0, and the coefficients of determination are all greater than 0.992 9. Each parameter of the proposed constitutive model can be determined by strain amplitude without a specific test. The constitutive model can better simulate the nonlinear characteristics of damping alloy compared to viscoelastic models.

Key words: Mn-Cudampingalloy, constructivemodel, generalizedfractionalMaxwellmedol, nonlinea-rity

CLC Number:

TB301.1

ZHU Rui, YANG Yuying, MAO Baoquan, HAN Xiaoping, WANG Zhiqian, ZHAO Qijin. Generalized Fractional Maxwell Constitutive Model for Mn-Cu Damping Alloy[J]. Acta Armamentarii, 2021, 42(6): 1290-1302.

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