A multi-scale model of martensitic transformation plasticity

Kouznetsova, V Varvara; Geers, Mgd Marc

doi:10.1016/j.mechmat.2008.02.004

Cited by 65 publications

(49 citation statements)

References 58 publications

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“…[12,13]) or C M 6 C A (e.g. [7,9,[15][16][17][18]. These effects, including differences in moduli from Hatcher et al [34] vs. Wagner et al [51], are discussed in Section 5.2.4.…”

Section: Elastic-thermal P El-thermal = {C a C M A Th-a A Th-m }mentioning

confidence: 98%

“…Variant-level models (e.g. [12][13][14][15][16][17][18][19][20]) track the volume fraction of individual martensite variants, thereby capturing effects of texture and crystal orientation. One version includes a recursive algorithm method that adjusts interactions between competing tetradomains in order to reproduce neutron diffraction data [21].…”

Section: Introductionmentioning

confidence: 99%

“…Most do not incorporate it at all [12][13][14][15][16], including the aforementioned recursive model [21,22]. Some recent efforts have included martensite plasticity, either in J2-based [18,26] or crystal-based [17] forms. However, austenite rather than martensite plasticity has been observed in recent transmission electron microscope studies of pseudoelastically deformed, solutionized 50.7 at.% Ni-Ti single crystal pillars [27] and cold-worked 50.8 at.% Ni-Ti wires [28], as well as thermally cycled, singlecrystal 50.4 at.% Ni-Ti [29].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Thermal cycling and isothermal deformation response of polycrystalline NiTi: Simulations vs. experiment

et al. 2011

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A recent microstructure-based FEM model that couples crystal-based plasticity, the B2 M B19 0 phase transformation and anisotropic elasticity at the grain scale is calibrated to recent data for polycrystalline NiTi (49.9 at.% Ni). Inputs include anisotropic elastic properties, texture and differential scanning calorimetry data, as well as a subset of recent isothermal deformation and load-biased thermal cycling data. The model is assessed against additional experimental data. Several experimental trends are captured -in particular, the transformation strain during thermal cycling monotonically increases and reaches a peak with increasing bias stress. This is achieved, in part, by modifying the martensite hardening matrix proposed by Patoor et al. [Patoor E, Eberhardt A, Berveiller M. J Phys IV 1996;6:277]. Some experimental trends are underestimated -in particular, the ratcheting of macrostrain during thermal cycling. This may reflect a model limitation that transformation-plasticity coupling is captured on a coarse (grain) scale but not on a fine (martensitic plate) scale.

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“…[12,13]) or C M 6 C A (e.g. [7,9,[15][16][17][18]. These effects, including differences in moduli from Hatcher et al [34] vs. Wagner et al [51], are discussed in Section 5.2.4.…”

Section: Elastic-thermal P El-thermal = {C a C M A Th-a A Th-m }mentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Thermal cycling and isothermal deformation response of polycrystalline NiTi: Simulations vs. experiment

et al. 2011

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“…Modelling results support that the normal part of the resolved stress calculated by equation 37 strongly influences the transformation volume fraction evolution. As stated in literature (Kouznetsova & Geers, 2008;Stringfellow et al, 1992), this is the well known hydrostatic stress dependence of the martensite transformation. The current study shows that there are four dominating transformation systems under tensile and compression loading conditions as shown in Figure 11.…”

Section: Trip Steel Deformation Modelling With the Crystal Plasticitymentioning

confidence: 82%

“…As an example in the literature (Kouznetsova & Geers, 2008;Tjahjanto, 2008), the shape strain vector and the habit plane normal vector with respect to specific carbon concentrations have been determined and listed. Because the shape strain vector and the habit plane normal vector are explicit functions of austensite and martensite lattice parameters, the components of the two vectors are irrational.…”

Section: Eigenstrain Of Phase Transformationsmentioning

confidence: 99%

Scale Bridging Modeling of Plastic Deformation and Damage Initiation in Polycrystals

Ma¹,

Hartmaier²

2012

Polycrystalline Materials - Theoretical and Practical Aspects

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Consistent modeling of the coupling between crystallographic slip and martensitic phase transformation for mechanically induced loadings

Carvalho

Bortoli

Pires

2022

Numerical Meth Engineering

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A computational framework is proposed to model anisotropic metallic polycrystals subjected to mechanically induced loadings. It enables the simulation of crystal‐plasticity‐like phenomena at finite strains. The unified framework of thermodynamically consistent constitutive equations is formulated such that it couples the crystallographic slip and martensitic transformation theories. The constitutive description for the slip plasticity evolution incorporates an anisotropic hyperelastic law with self and latent‐hardening. The mechanically induced martensite formation kinematics is based on the crystallographic theory of martensitic transformations. The complete set of highly coupled equations is expressed in a single system of equations and solved by a monolithic solution procedure. It is based on the Newton–Raphson methodology and incorporates the complete linearisation leading to asymptotic quadratic rates of convergence. The quasi‐static discretized evolution equations are integrated with a fully implicit scheme, except for the critical resolved slip stresses, which employ the generalized midpoint rule. The plastic flow is integrated with an implicit exponential integrator to exactly preserve the plastic incompressibility. Viscous regularizations for both deformation mechanisms are pursued to overcome numerical difficulties and model the behavior over a wide range of strain‐rate sensitivities. Numerical examples are presented to demonstrate the efficiency and predictive capability of the methodology.

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A multi-scale model of martensitic transformation plasticity

Cited by 65 publications

References 58 publications

Thermal cycling and isothermal deformation response of polycrystalline NiTi: Simulations vs. experiment

Thermal cycling and isothermal deformation response of polycrystalline NiTi: Simulations vs. experiment

Scale Bridging Modeling of Plastic Deformation and Damage Initiation in Polycrystals

Consistent modeling of the coupling between crystallographic slip and martensitic phase transformation for mechanically induced loadings

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