Numerical simulation of 2D crack growth with frictional contact in brittle materials

This paper is concerned with the development of a macroscopic theory of crack growth in fairly brittle materials. Average characteristics of the cracks are described in terms of an additional vector-valued variable in the macroscopic theory, which is determined by an additional momentum-like balance law associated with the rate of increase of the area of the cracks and includes the effects of forces maintaining the crack growth and the inertia of microscopic particles surrounding the cracks. The basic developments represent an idealized characterization of inelastic behaviour in the presence of crack growth, which accounts for energy dissipation without explicit use of macroscopic plasticity effects. A physically plausible constraint on the rate of crack growth is adopted to simplify the theory. To ensure that the results of the theory are physically reasonable, the constitutive response of the dependent variables are significantly restricted by consideration both of the energetic effects and of the microscopic processes that give rise to crack growth. These constitutive developments are in conformity with many of the standard results and observations reported in the literature on fracture mechanics. The predictive nature of the theory is illustrated with reference to two simple examples concerning uniform extensive and compressive straining.

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Automated Control of Stable Crack Growth for R-Curve Measurements in Brittle Materials

Experimental Mechanics ◽

10.1007/s11340-012-9622-4 ◽

2012 ◽

Vol 53 (2) ◽

pp. 163-170 ◽

Cited By ~ 14

Author(s):

H. Jelitto ◽

F. Hackbarth ◽

H. Özcoban ◽

G. A. Schneider

Keyword(s):

Crack Growth ◽

Brittle Materials ◽

Stable Crack Growth ◽

Automated Control

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Numerical Simulation of Contact Pressure Evolution in Fretting

Journal of Tribology ◽

10.1115/1.2927205 ◽

1994 ◽

Vol 116 (2) ◽

pp. 247-254 ◽

Cited By ~ 64

Author(s):

L. Johansson

Keyword(s):

Numerical Simulation ◽

Contact Pressure ◽

Stability Criterion ◽

Frictional Contact ◽

Elastic Bodies ◽

Numerical Instabilities ◽

Archard’S Law Of Wear ◽

Pressure Evolution

In the present paper an algorithm for frictional contact between two elastic bodies is presented. The algorithm is applied to the calculation of the evolution of contact pressure between two elastic bodies when material is being removed by fretting. To this end Archard’s law of wear is implemented into the algorithm. It is noticed that the calculated pressures after a period of fretting differ considerably from the initial Hertz type pressures. Further, it is noted that numerical instabilities can occur in explicit type wear calculations, and a stability criterion is suggested.

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Study on Ductile Fracture Including Shear-Lip Fracture under Mixed Mode Loading Condition

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.33-37.23 ◽

2008 ◽

Vol 33-37 ◽

pp. 23-28

Author(s):

Masanori Kikuchi ◽

Shougo Sannoumaru

Keyword(s):

Numerical Simulation ◽

Crack Growth ◽

Fracture Zone ◽

Mixed Mode ◽

Loading Condition ◽

Growth Direction ◽

Dimple Fracture ◽

Shear Lip ◽

Crack Growth Direction ◽

Fracture Tests

Dimple fracture tests are conducted under mode I and mixed mode lading conditions. Dimple fracture zone and shear-lip fracture zone are observed by scanning electron microscope precisely. It is found that crack growth direction is affected largely by the change of loading condition. It is also found that the differences of fracture pattern between mid-plane and at free surface are very large. Void diameter and crack growth direction are measured. Numerical simulation is conducted to simulate fracture tests in three-dimensional field. Gurson’s constitutive equation is used and large deformation analyses are conducted. It is assumed that void nucleation is controlled by both plastic strain and stress. Numerical results are compared with those of experiments. It is found that results of numerical simulation agree well with those of experiment qualitatively.

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