Continuum theory of dilatant transformation toughening in ceramics

Budiansky, Bernard; Hutchinson, J.W.; Lambropoulos, John C.

doi:10.1016/0020-7683(83)90031-8

Cited by 554 publications

(179 citation statements)

References 4 publications

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“…Recent theoretical explanations of these phenomena have focused on the role of domain switching in the toughening process. Kolleck et al [6] and Yang et al [9] treat domain switching with the concepts developed for transformation toughening in partially stabilized zirconia [10,11] to analyze the fracture toughening behavior. Kreher [12] proposed a fracture model based on the balance of energy supplied by the driving forces and the total energy either dissipated by domain switching, stored in the crack wake region or consumed by the formation of new fracture surface.…”

Section: Introductionmentioning

confidence: 99%

On the fracture toughness of ferroelectric ceramics with electric field applied parallel to the crack front

Wang

Landis

2004

Acta Materialia

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Mode I steady crack growth is analyzed to determine the toughening due to domain switching in ferroelectric ceramics with electric field applied parallel to the crack front. A multi-axial, electromechanically coupled, incremental constitutive theory is applied to model the material behavior of the ferroelectric ceramic. The constitutive law is then implemented within the finite element method to study steady crack growth. The effects of electric field on the fracture toughness of both initially unpoled and poled materials are investigated. Results for the predicted fracture toughness, remanent strain and remanent polarization distributions, and domain switching zone shapes and sizes are presented. The effects of the plane-strain constraint are also established. Finally, the model predictions are discussed in comparison to recent experimental observations.

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Section: Introductionmentioning

confidence: 99%

On the fracture toughness of ferroelectric ceramics with electric field applied parallel to the crack front

Wang

Landis

2004

Acta Materialia

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“…Previous FE analysis investigated a range of transformation variants which gave a volumetric expansion of ~6% and a shear strain of ~16%, both of which are well within the ranges defined in literature (Bailey, 1964;Budiansky, 1983;Heuer and Rühle, 1985;Qingping et al, 1990;Stam et al, 1994). The impact of variant selection and anisotropic material properties are not the main focus of this work, therefore for simplicity, the phase transformation has been simulated as a dilatational volumetric expansion.…”

Section: Phase Transformation Volumetric Expansionmentioning

confidence: 98%

“…In engineering ceramics this mechanism is referred to as transformation toughening because of the resulting retardation of crack growth by the tetragonal to monoclinic phase change and its associated increase in volume (Budiansky, 1983;Evans and Heuer, 1980;Kelly and Francis Rose, 2002). Oxides formed on zirconium alloys in autoclave and reactor undergo a transition and acceleration in the corrosion kinetics that has previously been linked with the formation of a network of lateral cracks close to the metal-oxide interface (Bossis et al, 2001;Polatidis et al, 2013;Yilmazbayhan et al, 2006).…”

Section: Introductionmentioning

confidence: 99%

Peridynamic simulations of the tetragonal to monoclinic phase transformation in zirconium dioxide

Platt

Mella

DeMaio

et al. 2017

Computational Materials Science

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Whether present as a manufactured stabilised ceramic, or as an oxide layer on zirconium alloys, mechanical degradation in zirconia is influenced by the tetragonal to monoclinic phase transformation.Peridynamic theory was implemented within the Abaqus finite element framework to understand how the tetragonal to monoclinic phase transformation can itself cause fracture in zirconia. In 2D these simulations represent a single grain, transforming via an isometric dilational expansion, surrounded by a homogenous monoclinic oxide. The effect of transformation time, applied bi-axial pressure, and the fracture strain were assessed using the change in strain energy and the amount of damage in the oxide surrounding the transformed grain. Reducing the applied compressive stress or applying a tensile stress reduces the transformation strain energy. The introduction of a fracture strain leads to damage in the surrounding oxide region largely in the form of cracks, and reduces the transformation strain energy further by reducing the constraint on the transforming grain. The extent of the fracture, and reduction in constraint on the transformed grain, is more significant with the application of a biaxial tensile pressure.

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“…The material constants calibrated in Section 3 are used in the calculation. ceramics [28,29]. , is 0.12.…”

Section: Phase Transformation and Plastic Deformation At The Tip Of Amentioning

confidence: 99%

Theoretical modelling of the effect of plasticity on reverse transformation in superelastic shape memory alloys

Yan

Wang

Zhang

et al. 2003

Materials Science and Engineering: A

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Stimulated by recent experimental results on superelastic NiTi shape memory alloy, a theoretical study is carried out to quantify the effect of plasticity on stress-induced martensite transformation, using a constitutive model that combines phase transformation and plasticity. A constraint equation is introduced to quantify the phenomenon of the stabilization of plasticity on stress-induced martensite. The stabilized martensite volume fraction is determined by the equivalent plastic strain. The transformation constitutive model is adopted from a generalized plastic model with Drucker-Prager type phase transformation functions, which are pressure sensitive, while the plasticity is described by the von Mises isotropic hardening model.The martensite volume fraction is chosen as the internal variable to represent the transformation state and it is determined by the consistency transformation condition. An approach to calibrate model parameters from uniaxial tensile tests is explored, as well as the issue of elastic mismatch between austenite and martensite is discussed. Based on the proposed constitutive model, the influence of hydrostatic stress on transformation is examined. As an example of application, this new constitutive model is employed to numerically study the transformation field and the plastic deformation field near a crack tip.

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Continuum theory of dilatant transformation toughening in ceramics

Cited by 554 publications

References 4 publications

On the fracture toughness of ferroelectric ceramics with electric field applied parallel to the crack front

On the fracture toughness of ferroelectric ceramics with electric field applied parallel to the crack front

Peridynamic simulations of the tetragonal to monoclinic phase transformation in zirconium dioxide

Theoretical modelling of the effect of plasticity on reverse transformation in superelastic shape memory alloys

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