Plane stress dynamic plastic field near a propagating crack tip

1987 ◽  
Vol 34 (2) ◽  
pp. 111-129 ◽  
Author(s):  
Y. C. Gao
Keyword(s):  
Plane Stress ◽  
Crack Tip ◽  
Propagating Crack

Plane stress dynamic fields near a propagating crack-tip in a power-law material

1988 ◽  
Vol 4 (1) ◽  
pp. 22-34 ◽  
Author(s):  
Zhang Zimao ◽  
Gao Yuchen
Keyword(s):  
Power Law ◽  
Plane Stress ◽  
Crack Tip ◽  
Propagating Crack

scholarly journals An approach to analysis of dynamic crack growth at bimaterial interface

2009 ◽  
Vol 36 (4) ◽  
pp. 299-327 ◽  
Author(s):  
R. Nikolic ◽  
Jelena Djokovic
Keyword(s):  
Asymptotic Analysis ◽  
Strain Field ◽  
Crack Tip ◽  
Optical Data ◽  
Bimaterial Interface ◽  
Dynamic Crack ◽  
New Approach ◽  
Shear Wave Speed ◽  
Propagating Crack

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.

Governing factors of the local tensile stress in the vicinity of a rapidly propagating crack tip in elastic-viscoplastic solids

2019 ◽  
Vol 218 ◽  
pp. 106548 ◽  
Author(s):  
Fuminori Yanagimoto ◽  
Kazuki Shibanuma ◽  
Toshiyuki Matsumoto ◽  
Katsuyuki Suzuki
Keyword(s):  
Tensile Stress ◽  
Crack Tip ◽  
Propagating Crack ◽  
Viscoplastic Solids

The Asymptotic Elastic-Viscoplastic Field at Mode I Dynamic Propagating Crack-Tip

2007 ◽  
Vol 348-349 ◽  
pp. 817-820
Author(s):  
Zhen Qing Wang ◽  
Ji Bin Wang ◽  
Wen Yan Liang ◽  
Juan Su
Keyword(s):  
Crack Tip ◽  
Viscosity Coefficient ◽  
Plastic Strain Rate ◽  
Mode I ◽  
Mode I Crack ◽  
Moving Crack ◽  
Dynamic Propagating ◽  
Propagating Crack ◽  
Hardening Condition ◽  
Elastic Unloading

The viscosity of material is considered at propagating crack-tip. Under the assumption that the artificial viscosity coefficient is in inverse proportion to the power law of the plastic strain rate, an elastic-viscoplastic asymptotic analysis is carried out for moving crack-tip fields in power-hardening materials under plane-strain condition. A continuous solution is obtained containing no discontinuities. The variations of the numerical solution are discussed for mode I crack according to each parameter. It is shown that stress and strain both possess exponential singularity. The elasticity, plasticity and viscosity of material at the crack-tip only can be matched reasonably under linear-hardening condition. The tip field contains no elastic unloading zone for mode I crack.

Influence of Porosity on Plane Strain Tensile Crack-Tip Stress Fields in Elastic-Plastic Materials: Part I

1992 ◽  
Vol 59 (3) ◽  
pp. 559-567 ◽  
Author(s):  
W. J. Drugan ◽  
Y. Miao
Keyword(s):  
Stress Field ◽  
Closed Form ◽  
Normal Stress ◽  
Plane Strain ◽  
Plane Stress ◽  
Entire Range ◽  
Crack Tip ◽  
Constant Stress ◽  
Tensile Crack ◽  
Stress Discontinuity

We perform an analytical first study of the influence of a uniform porosity distribution, for the entire range of porosity level, on the stress field near a plane strain tensile crack tip in ductile material. Such uniform porosity distributions (approximately) arise in incompletely sintered or previously deformed (e.g., during processing) ductile metals and alloys. The elastic-plastic Gurson-Tvergaard constitutive formulation is employed. This model has a sound micromechanical basis, and has been shown to agree well with detailed numerical finite element solutions of, and with experiments on, voided materials. To facilitate closed-form analytical results to the extent possible, we treat nonhardening material with constant, uniform porosity. We show that the assumption of singular plastic strain in the limit as the crack tip is approached renders the governing equations statically determinate with two permissible types of near-tip angular sector: one with constant Cartesian components of stress (“constant stress”); and one with radial stress characteristics (“generalized centered fan”). The former admits an exact asymptotic closed-form stress field representation, and although we prove the latter does not, we derive a highly accurate closed-form approximate representation. We show that complete near-tip solutions can be constructed from these two sector types for the entire range of porosity. These solutions are comprised of three asymptotic sector configurations: (i) “generalized Prandtlfield”for low porosities (0 ≤ f ≤ .02979), similar to the plane strain Prandtl field of fully dense materials, with a fully continuous stress field but sector extents that vary with porosity; (ii) “plane-stress-like field” for intermediate porosities (.02979 < f < .12029), resembling the plane stress solution for fully dense materials, with a ray of radial normal stress discontinuity but sector extents that vary with porosity; (iii) two constant stress sectors for the remaining high porosity range, with a ray of radial normal stress discontinuity and fixed sector extents. Among several interesting features, the solutions show that increasing porosity causes significant modification of the angular variation of stress components, particularly for a range of angles ahead of the crack tip, while also causing a drastic reduction in maximum hydrostatic stress level.

Plane stress elastic-plastic fracture criteria and constraint intensity in crack tip regions

1990 ◽  
Vol 37 (3) ◽  
pp. 675-680 ◽  
Author(s):  
Jun Sun ◽  
Zengjie Deng ◽  
Mingjing Tu
Keyword(s):  
Plane Stress ◽  
Crack Tip ◽  
Fracture Criteria ◽  
Elastic Plastic

Large deformations near a propagating crack tip

1986 ◽  
Vol 23 (1) ◽  
pp. 183-199
Author(s):  
J.D. Achenbach ◽  
N. Nishimura
Keyword(s):  
Large Deformations ◽  
Crack Tip ◽  
Propagating Crack

Dynamic emission of screw dislocations from a propagating crack tip

1997 ◽  
Vol 81 (5) ◽  
pp. 2089-2093 ◽  
Author(s):  
Y. Z. Tsai ◽  
Sanboh Lee
Keyword(s):  
Crack Tip ◽  
Screw Dislocations ◽  
Propagating Crack
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