Continuum modeling of strain-induced martensitic transformation at shear-band intersections

V. I. Levitas; A. V. Idesman; G. B. Olson

doi:10.1016/S1359-6454(98)00314-0

Continuum modeling of strain-induced martensitic transformation at shear-band intersections

V. I. Levitas, A. V. Idesman, G. B. Olson

Mechanical Engineering

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86 Scopus citations

Abstract

A mesoscopic continuum thermomechanical approach is applied to the problem of strain-induced martensitic transformation at shear-band intersection. A computed transformation work functional combined with a critical driving force criterion and stability analysis are employed in the solution of boundary-value problems addressing aspects of martensitic transformations in a heterogeneous plastically deforming medium. Under boundary displacement control, solutions demonstrate preferred transformation at shear-band intersections, restricted growth beyond intersections, preferred transformation during rather than after intersection process, and sequential rather than simultaneous operation of multiple intersections of identical potency. Further growth beyond intersections is favored under fixed stress boundary conditions. Mesoscopic thermomechanical considerations offer useful insights into transformation behavior in a plastic environment.

Original language	English
Pages (from-to)	219-233
Number of pages	15
Journal	Acta Materialia
Volume	47
Issue number	1
DOIs	https://doi.org/10.1016/S1359-6454(98)00314-0
State	Published - Dec 11 1998

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title = "Continuum modeling of strain-induced martensitic transformation at shear-band intersections",

abstract = "A mesoscopic continuum thermomechanical approach is applied to the problem of strain-induced martensitic transformation at shear-band intersection. A computed transformation work functional combined with a critical driving force criterion and stability analysis are employed in the solution of boundary-value problems addressing aspects of martensitic transformations in a heterogeneous plastically deforming medium. Under boundary displacement control, solutions demonstrate preferred transformation at shear-band intersections, restricted growth beyond intersections, preferred transformation during rather than after intersection process, and sequential rather than simultaneous operation of multiple intersections of identical potency. Further growth beyond intersections is favored under fixed stress boundary conditions. Mesoscopic thermomechanical considerations offer useful insights into transformation behavior in a plastic environment.",

author = "Levitas, {V. I.} and Idesman, {A. V.} and Olson, {G. B.}",

note = "Funding Information: V.I.L. and A.V.I. gratefully acknowledge the support of the Volkswagen Foundation, grant I/70283 and discussions with Professor E. Stein. Research on martensitic transformation at Northwestern University is sponsored by the National Science Foundation under Grant DMR9500122. ",

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AU - Levitas, V. I.

AU - Idesman, A. V.

AU - Olson, G. B.

N1 - Funding Information: V.I.L. and A.V.I. gratefully acknowledge the support of the Volkswagen Foundation, grant I/70283 and discussions with Professor E. Stein. Research on martensitic transformation at Northwestern University is sponsored by the National Science Foundation under Grant DMR9500122.

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AB - A mesoscopic continuum thermomechanical approach is applied to the problem of strain-induced martensitic transformation at shear-band intersection. A computed transformation work functional combined with a critical driving force criterion and stability analysis are employed in the solution of boundary-value problems addressing aspects of martensitic transformations in a heterogeneous plastically deforming medium. Under boundary displacement control, solutions demonstrate preferred transformation at shear-band intersections, restricted growth beyond intersections, preferred transformation during rather than after intersection process, and sequential rather than simultaneous operation of multiple intersections of identical potency. Further growth beyond intersections is favored under fixed stress boundary conditions. Mesoscopic thermomechanical considerations offer useful insights into transformation behavior in a plastic environment.

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Continuum modeling of strain-induced martensitic transformation at shear-band intersections

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