Dynamic energy release rate evaluation of rapid crack propagation in discrete element analysis

Abstract A finite element-based method to analyze the severity of internal cracks in cord-rubber structures is presented. The method includes materials testing to characterize rubber fatigue behavior, a global-local finite element analysis to provide the detail necessary to model explicitly an internal crack, and use of the J-integral and virtual crack closure techniques for energy release rate evaluation. Analysis of the multiaxial and cyclic fracture situation is carried out by considering the cycle of each mode of fracture separately and then combining the effect of each mode to determine the total effect. Crack growth rates in the structure are assumed to be the same as the crack growth rate in a laboratory specimen at the same level of cyclic energy release rate. Results are presented for a material change in a critical tire region.

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Effect of the Characteristic Size and Content of Graphene on the Crack Propagation Path of Alumina/Graphene Composite Ceramics

Materials ◽

10.3390/ma14030611 ◽

2021 ◽

Vol 14 (3) ◽

pp. 611

Author(s):

Benshuai Chen ◽

Guangchun Xiao ◽

Mingdong Yi ◽

Jingjie Zhang ◽

Tingting Zhou ◽

...

Keyword(s):

Crack Propagation ◽

Energy Release Rate ◽

Energy Release ◽

Release Rate ◽

Volume Content ◽

Phase Interface ◽

Average Energy ◽

Characteristic Size ◽

Composite Ceramics ◽

Graphene Composite

In this paper, the Voronoimosaic model and the cohesive element method were used to simulate crack propagation in the microstructure of alumina/graphene composite ceramic tool materials. The effects of graphene characteristic size and volume content on the crack propagation behavior of microstructure model of alumina/graphene composite ceramics under different interfacial bonding strength were studied. When the phase interface is weak, the average energy release rate is the highest as the short diameter of graphene is 10–50 nm and the long diameter is 1600–2000 nm. When the phase interface is strong, the average energy release rate is the highest as the short diameter of graphene is 50–100 nm and the long diameter is 800–1200 nm. When the volume content of graphene is 0.50 vol.%, the average energy release rate reaches the maximum. When the velocity load is 0.005 m s−1, the simulation result is convergent. It is proven that the simulation results are in good agreement with the experimental phenomena.

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Shape and energies of a dynamically propagating crack under bending

Journal of Materials Research ◽

10.1557/jmr.2003.0333 ◽

2003 ◽

Vol 18 (10) ◽

pp. 2379-2386 ◽

Cited By ~ 23

Author(s):

Dov Sherman ◽

Ilan Be'ery

Keyword(s):

Crack Propagation ◽

Energy Release Rate ◽

Energy Release ◽

Release Rate ◽

Crack Front ◽

Three Dimensional ◽

Strain Energy Release ◽

Governing Parameter ◽

Propagating Crack ◽

Front Shape

We report on the exact shape of a propagating crack in a plate with a high width/thickness ratio and subjected to bending deformation. Fracture tests were carried out with brittle solids—single crystal, polycrystalline, and amorphous. The shape of the propagating crack was determined from direct temporal crack length measurements and from the surface perturbations generated during rapid crack propagation. The shape of the crack profile was shown to be quarter-elliptical with a straight, long tail; the governing parameter of the ellipse axes is the specimen's thickness at most length of crack propagation. Universality of the crack front shape is demonstrated. The continuum mechanics approach applicable to two-dimensional problems was used in this three-dimensional problem to calculate the quasistatic strain energy release rate of the propagating crack using the formulations of the dynamic energy release rate along the crack loci. Knowledge of the crack front shape in the current geometry and loading configuration is important for practical and scientific aspects.

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Nonlinear Approach for Strain Energy Release Rate in Micro Cantilevers

Volume 10: Micro and Nano Systems ◽

10.1115/imece2010-38905 ◽

2010 ◽

Author(s):

Arash Kheyraddini Mousavi ◽

Seyedhamidreza Alaie ◽

Maheshwar R. Kashamolla ◽

Zayd Chad Leseman

Keyword(s):

Surface Roughness ◽

Crack Propagation ◽

Energy Release Rate ◽

Energy Release ◽

Release Rate ◽

Strain Energy ◽

Strain Energy Release Rate ◽

Strain Energy Release ◽

Rigid Substrate ◽

Micro Cantilever

An analytical Mixed Mode I & II crack propagation model is used to analyze the experimental results of stiction failed micro cantilevers on a rigid substrate and to determine the critical strain energy release rate (adhesion energy). Using nonlinear beam deflection theory, the shape of the beam being peeled off of a rigid substrate can be accurately modeled. Results show that the model can fit the experimental data with an average root mean square error of less than 5 ran even at relatively large deflections which happens in some MEMS applications. The effects of surface roughness and/or debris are also explored and contrasted with perfectly (atomically) flat surfaces. Herein it is shown that unlike the macro-scale crack propagation tests, the surface roughness and debris trapped between the micro cantilever and the substrate can drastically effect the energy associated with creating unit new surface areas and also leads to some interesting phenomena. The polysilicon micro cantilever samples used, were fabricated by SUMMIT V™ technology in Sandia National Laboratories and were 1000 μm long, 30 μm wide and 2.6 μm thick.

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The Dynamic Energy Release Rate for a Steadily Propagating Antiplane Shear Crack in a Linearly Viscoelastic Body

Journal of Applied Mechanics ◽

10.1115/1.3173081 ◽

1987 ◽

Vol 54 (3) ◽

pp. 635-641 ◽

Cited By ~ 14

Author(s):

J. R. Walton

Keyword(s):

Energy Release Rate ◽

Energy Release ◽

Release Rate ◽

Shear Crack ◽

Viscoelastic Body ◽

Antiplane Shear ◽

Singular Stress ◽

Crack Face ◽

Standard Linear Solid ◽

Dynamic Energy Release Rate

The steady-state propagation of a semi-infinite, antiplane shear crack is reconsidered for a general, infinite, homogeneous and isotropic linearly viscoelastic body. As with an earlier study, the inertial term in the equation of motion is retained and the shear modulus is only assumed to be positive, continuous, decreasing, and convex. A Barenblatt type failure zone is introduced in order to cancel the singular stress, and a numerically convenient expression for the dynamic Energy Release Rate (ERR) is derived for a rather general class of crack face loadings. The ERR is shown to have a complicated dependence on crack speed and material properties with significant qualitative differences between viscoelastic and elastic material. The results are illustrated with numerical calculations for both power-law material and a standard linear solid.

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