Simulation of asymmetric effects for shape memory alloys using the concept of stress mode dependent weighting functions

Mahnken, Rolf; Wilmanns, Stefan

doi:10.1016/j.msea.2007.04.128

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2011

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“…The stress tensors σ i refer to independent characteristic stress modes, which can be investigated experimentally for example in tension, compression and shear, respectively. The thermodynamic consistency of the resulting set of constitutive equations as well as the specific formulations for the plastic potential, the flow rule and the numerical implementation into the Abaqus UMAT subroutine are described in MAHNKEN and WILMANNS [4,5].…”

Section: Constitutive Equationsmentioning

confidence: 99%

Simulation of asymmetric effects for shape memory alloys

Wilmanns

Mahnken

2007

Proc Appl Math and Mech

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Experimental results of shape memory alloys show a pronounced asymmetric behaviour between tension, compression and shear. For simulation of these effects in the constitutive equations different transformation strain tensors are introduced. These are related to the different variants for the multi-variant-and detwinned-martensite as a consequence of different stress states. In the framework of plasticity the concept of stress mode dependent weighting functions is applied in order to characterize the different stress states. Verification of the proposed methodology is succeeded for simulation of the pseudoelastic behaviour of shape memory alloys with different hardening characteristics in tension, compression and shear.

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Section: Constitutive Equationsmentioning

confidence: 99%