Determination of phase transformation surfaces around crack tip in shape memory alloys

Laydi, Mohamed Rachid; Lexcellent, Christian

doi:10.1051/matecconf/20153302010

Cited by 5 publications

(1 citation statement)

References 13 publications

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“…Some models imply the introduction of additional parameters characterizing the average structural features of the material, for which special constitutive relations are formulated. A limiting phase transformation surface in stress space can be defined similarly to yield surfaces in plasticity with the use of various criteria and correction factors (see, for example [16][17][18][19][20][21]). In particular, in [22] Irwin's plastic zone model and bilinear stress-strain relation are used to evaluate the size of the transformation region.…”

Section: Introductionmentioning

confidence: 99%

On the localization of a new phase domain in the vicinity of an elliptical hole

Kabanova,

Freidin

2023

Z Angew Math Mech

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Growth of a new phase domain induced by phase transformations in the vicinity of an elliptical hole as a stress concentrator is considered. An elastic solid is subjected to external strain at which no phase transformations occur in the absence of the stress concentrator. The evolution of the interface is described by a kinetic equation that relates the velocity of the interface with a configurational force equal to the jump of the normal component of the Eshelby stress tensor. Various scenarios of the growth of the new phase domain depending on the material parameters of the phases are demonstrated. It is studied how the parameters (Young's moduli, Poisson‘s ratios, transformation strain) affect the distribution of the configurational force along the interface as well as the localization of the new phase domain. It is studied how the new phase growth causes stress relaxation in a body.

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