New finite strain elastoplastic equations for accurately and explicitly simulating pseudoelastic-to-plastic transition effects of shape memory alloys

doi:10.1007/s10483-020-2659-7

Abstract

Abstract: A new finite strain elatoplastic J₂-flow model with coupling effects of both isotropic and anisotropic hardening is proposed with the co-rotational logarithmic rate. In terms of certain single-variable shape functions representing uniaxial loading and unloading curves, explicit multi-axial expressions for the three hardening quantities incorporated in the new model proposed are derived in unified forms for the purpose of automatically and accurately simulating complex pseudoelastic-to-plastic transition effects of shape memory alloys (SMAs) under multiple loading-unloading cycles. Numerical examples show that with only a single parameter of direct physical meaning for each cycle, accurate and explicit simulations may be achieved for extensive data from multiple cycle tests.

Key words: shape memory alloy (SMA), finite deformation, pseudo-elasticity, plasticity, cyclic loading, transition effect, elastoplastic equation, explicit and accurate approach

2010 MSC Number:

74A99

Siyu WANG, Lin ZHAN, Huifeng XI, Heng XIAO. New finite strain elastoplastic equations for accurately and explicitly simulating pseudoelastic-to-plastic transition effects of shape memory alloys. Applied Mathematics and Mechanics (English Edition), 2020, 41(10): 1583-1596.

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References

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