Quantitative Interpretation of Crack Tip Strain Field Measurements

In this paper is presented the new approach to asymptotic analysis of the stress and strain fields around a crack tip that is propagating dynamically along a bimaterial interface. Through asymptotic analysis the problem is being reduced to solving the Riemann-Hilbert's problem, what yields the strain potential that is used for determination of the strain field around a crack tip. The considered field is that of a dynamically propagating crack with a speed that is between zero and shear wave speed of the less stiffer of the two materials, bound along the interface. Using the new approach in asymptotic analysis of the strain field around a tip of a dynamically propagating crack and possibilities offered by the Mathematica programming package, the results are obtained that are compared to both experimental and numerical results on the dynamic interfacial fracture known from the literature. This comparison showed that it is necessary to apply the complete expression obtained by asymptotic analysis of optical data and not only its first term as it was done in previous analyses.

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Numerical Analysis on Crack Tip of Fracture Splitting Groove Stress-strain Field of Main Bearing Block of Engine

Proceedings of the 2017 5th International Conference on Frontiers of Manufacturing Science and Measuring Technology (FMSMT 2017) ◽

10.2991/fmsmt-17.2017.295 ◽

2017 ◽

Author(s):

Dan Yang ◽

Yuheng Ning

Keyword(s):

Numerical Analysis ◽

Strain Field ◽

Crack Tip ◽

Main Bearing ◽

Stress Strain ◽

Fracture Splitting

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Displacement and Strain Field Measurements from SPM Images

Applied Scanning Probe Methods - NanoScience and Technology ◽

10.1007/978-3-642-35792-3_8 ◽

2004 ◽

pp. 253-276 ◽

Cited By ~ 10

Author(s):

Jürgen Keller ◽

Dietmar Vogel ◽

Andreas Schubert ◽

Bernd Michel

Keyword(s):

Strain Field ◽

Field Measurements

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Contribution of heterogeneous strain field measurements and boundary conditions modelling in inverse identification of material parameters

European Journal of Mechanics - A/Solids ◽

10.1016/j.euromechsol.2010.10.001 ◽

2011 ◽

Vol 30 (3) ◽

pp. 373-382 ◽

Cited By ~ 51

Author(s):

T. Pottier ◽

F. Toussaint ◽

P. Vacher

Keyword(s):

Boundary Conditions ◽

Strain Field ◽

Field Measurements ◽

Inverse Identification ◽

Material Parameters

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The application of Moire interferometry in the measurement of displacement field and strain field at notch-tip and crack-tip

Acta Mechanica Sinica ◽

10.1007/bf02486747 ◽

1991 ◽

Vol 7 (4) ◽

pp. 376-382 ◽

Cited By ~ 2

Author(s):

Han Jinhu ◽

Mao Tianxiang

Keyword(s):

Displacement Field ◽

Strain Field ◽

Crack Tip ◽

Moiré Interferometry ◽

Moire Interferometry ◽

Notch Tip

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An Alternative Decomposition of the Strain Gradient Tensor

Journal of Applied Mechanics ◽

10.1115/1.1430666 ◽

2001 ◽

Vol 69 (2) ◽

pp. 139-141 ◽

Cited By ~ 1

Author(s):

H. Jiang ◽

Y. Huang ◽

T. F. Guo ◽

K. C. Hwang

Keyword(s):

Strain Gradient ◽

Strain Field ◽

Numerical Study ◽

Volumetric Strain ◽

Crack Tip ◽

Square Root ◽

Crack Tip Field ◽

Gradient Tensor ◽

Classical Plasticity ◽

Square Root Singularity

An alternative decomposition of the strain gradient tensor is proposed in this paper in order to ensure that the deviatoric strain gradient vanishes for an arbitrary volumetric strain field, which is consistent with the physical picture of plastic deformation. The theory of mechanism-based strain gradient (MSG) plasticity is then modified accordingly based on this new decomposition. The numerical study of the crack-tip field based on the new theory shows that the crack tip in MSG plasticity has the square-root singularity, and the stress level is much higher than the HRR field in classical plasticity.

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