Fundamental formulation for transformation toughening

Ma, Lifeng

doi:10.1016/j.ijsolstr.2010.08.002

Cited by 40 publications

(17 citation statements)

References 33 publications

(41 reference statements)

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“…The Kolosov-Muskhelishvili potentials for a point-wise concentrated eigenstrain located at point s within an infinite plane solid can be expressed in terms of two principal eigenstrains and the principal direction (ε x0 , ε y0 , ψ) shown in Fig. 2 as (Ma [23]):…”

Section: The Kolosov-muskhelishvili Potentials For a Point Eigenstrainmentioning

confidence: 99%

“…The idea of the transform is to replace the inhomogeneous inclusion with a homogeneous one which has a new equivalent eigenstrain distribution that can be solved using Green's function method (Mura [10]; Ru [20]; Li and Anderson [21]; Kuvshinov [22]; Ma [23]). This approach in principle allows solving any inhomogeneous inclusion problem involving arbitrary shape and any non-uniformly distributed eigenstrain.…”

Section: Introductionmentioning

confidence: 99%

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Plane deformation of circular inhomogeneous inclusion problems with non-uniform symmetrical dilatational eigenstrain

Wang

Korsunsky

2015

Materials & Design

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Section: The Kolosov-muskhelishvili Potentials For a Point Eigenstrainmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Plane deformation of circular inhomogeneous inclusion problems with non-uniform symmetrical dilatational eigenstrain

Wang

Korsunsky

2015

Materials & Design

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“…Another finding was crack deflection that was detected in lithium disilicate crown. This could be due to incorporated crystal particles within glassy ceramic matrix that can deflect cracks dissipating fracture energy and improve fracture toughness 24 . On the other hand, crack branching was observed in monolithic zirconia crown.…”

Section: Discussionmentioning

confidence: 99%

Comparative Study of Fracture Resistance of Different Ceramic Restorations

Mogahed

Shakal

Hasaneen

2021

Egyptian Dental Journal

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Objective: Comparison of fracture resistance of different ceramic restorations.Methodology: 64 ceramic crowns were fabricated. They were divided into 4 equal groups according to the type of ceramic used (16 each). Group I: lithium disilicate, Group II: Zirconia reinforced lithium silicate, Group III: monolithic zirconia and Group IV: bilayered zirconia. Models of prepared teeth #14 were used as abutments. Eight specimens from each group were subjected to thermocycling between 55° C and 5° C. Fracture resistance was tested for the specimens. The load to fracture was recorded. Mean value for each group was calculated and differences between groups were tested for statistical significance. One fractured specimen from each group was scanned by scanning electron microscope to determine the failure mode.Results: it was found that the highest fracture resistance mean value was recorded with monolithic zirconia group followed by lithium disilicate group then bilayered zirconia group while the lowest fracture resistance mean value was recorded for zirconia reinforced lithium silicate group and this was statistically significant. The four tested groups showed lower fracture resistance mean values after thermocycling. The fractography showed that surface defects were the origin of fracture in glass ceramic groups. While monolithic zirconia showed internal surface cracks. Conclusions:Within the limitations of this study, the following conclusions can be drawn: monolithic zirconia has the highest fracture resistance among the tested groups, while zirconia reinforced lithium silicate group has the lowest fracture resistance. Thermal aging significantly reduces the fracture resistance in the four tested groups.

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“…The Kolosov-Muskhelishvili complex potentials for a point eigenstrain located at a source point = + within an infinite plane solid (in which the position vector is given by = + ) can be expressed in terms of two principal eigenstrain values and the principal direction � 0 , 0 , � as [66]:…”

Section: Figure 8 Schematic Of Eigenstrain Domain Showing Eigenstrain Source Point Vectormentioning

confidence: 99%

Full in-plane strain tensor analysis using the microscale ring-core FIB milling and DIC approach

Lunt

Salvati

et al. 2016

Journal of the Mechanics and Physics of Solids

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Full In-plane Strain Tensor (FIST) analysis at the micro-scale is crucial for improving the evaluation of residual stress and the understanding of the origins of mechanical failure in many applications ranging from civil structures to energy systems and micro-electronics. This study presents the analytical background and experimental implementation of a Focused Ion Beam (FIB) milling and Digital Image Correlation (DIC) based technique that uses material removal and strain relief monitoring to perform precise, reliable and rapid quantification of micro-scale residual stress.The nature of semi-destructive FIB milling overcomes the main limitations of X-Ray Diffraction (XRD) strain tensor quantification: unstrained lattice parameter estimates are not required, analysis is performed in within a precisely defined 3D microscale volume, both amorphous and crystalline materials can be studied and access to X-ray/neutron facilities is not required.The FIST FIB milling and DIC experimental technique is based on extending the interpretation of strain relief observed for the ring-core milling geometry to quantify the strain variation with azimuthal angle. The approach benefits from the high magnitude of strain relief, excellent precision and the simplicity of the analytical approach associated with this method. In-plane strain analysis is reported for a sample of commercial interest: a porcelain veneered Yttria Partially Stabilised Zirconia (YPSZ) dental prosthesis, for which the results were also compared with micro-beam synchrotron X-ray diffraction. Since the two methods sample different gauge volumes and mechanical states (approaching plane stress for ring-core milling and through-thickness averaging that approaches plane strain for XRD), the important matter of correlating the two sets of measurements arises and requires addressing. Complex variable and Finite Element (FE) methods are used to connect the two states, demonstrating that valid comparisons can be drawn. The analysis revealed excellent agreement between the principal stress orientation and values, led to realistic residual stress estimates which closely matched literature measurements ( ≈ 460 MPa) and produced upper and lower bounds for the (101) interplanar crystal lattice spacing of YPSZ in the range 2.9586 − 2.9596 Å, closely matching published values. Highlights• Full in-plane strain tensor measured by ring-core Focused Ion Beam (FIB) milling• Absolute strain measurement at the μm-scale for amorphous & crystalline materials• Comparative X-ray diffraction study validates experimental FIB results• Lattice parameter and stress state in Zr prosthesis sample match literature values• Surface vs bulk residual stress state relationships was identified and validated

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Fundamental formulation for transformation toughening

Cited by 40 publications

References 33 publications

Plane deformation of circular inhomogeneous inclusion problems with non-uniform symmetrical dilatational eigenstrain

Plane deformation of circular inhomogeneous inclusion problems with non-uniform symmetrical dilatational eigenstrain

Comparative Study of Fracture Resistance of Different Ceramic Restorations

Full in-plane strain tensor analysis using the microscale ring-core FIB milling and DIC approach

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