Thermoelastic Contact Between a Rolling Rigid Indenter and a Damaged Elastic Body

1990 ◽  
Vol 112 (2) ◽  
pp. 382-390 ◽  
Author(s):  
T. Goshima ◽  
L. M. Keer
Keyword(s):  
Heat Transfer ◽  
Stress Intensity ◽  
Half Space ◽  
Singular Integral Equations ◽  
Elastic Half Space ◽  
Two Dimensional ◽  
Intensity Factors ◽  
Thermoelastic Contact ◽  
Surface Breaking Crack ◽  
Thermoelastic Contact Problem

The two-dimensional thermoelastic contact problem of a rolling, rigid cylinder on an elastic half space containing a surface-breaking crack is solved using complex variable techniques. The effects of heat generation and friction between the cylinder and half space and of friction and heat transfer on the faces of the crack are considered. The problem is reduced to a pair of singular integral equations which are solved numerically. Numerical results are obtained when the loading is a Hertzian distributed heat input. By consideration of combinations of parameters, stress intensity factors for which the crack is likely to grow are shown.

Elastodynamic Stress-Intensity Factors for a Crack Near a Free Surface

1981 ◽  
Vol 48 (3) ◽  
pp. 539-542 ◽  
Author(s):  
J. D. Achenbach ◽  
R. J. Brind
Keyword(s):  
Stress Intensity ◽  
Half Space ◽  
Stress Intensity Factors ◽  
Elastic Half Space ◽  
Mode I ◽  
Dimensionless Frequency ◽  
Subsurface Crack ◽  
Intensity Factors ◽  
Time Harmonic ◽  
Crack Tips

Elastodynamic Mode I and Mode II stress-intensity factors are presented for a subsurface crack in an elastic half space. The plane of the crack is normal to the surface of the half space. The half space is subjected to normal and tangential time-harmonic surface tractions. Numerical results show the variation of KI and KII at both crack tips, with the dimensionless frequency and the ratio a/b, where a and b are the distances to the surface from the near and the far crack tips, respectively. The results are compared with corresponding results for a crack in an unbounded solid.

scholarly journals Mathematical Modelling of Stationary Thermoelastic State for a Plate with Periodic System of Inclusions and Cracks

2019 ◽  
Vol 13 (1) ◽  
pp. 11-15
Author(s):  
Volodymyr Zelenyak
Keyword(s):  
Heat Conduction ◽  
Stress Intensity ◽  
Integral Equations ◽  
Periodic System ◽  
Singular Integral Equations ◽  
Stationary Problem ◽  
Two Dimensional ◽  
Intensity Factors ◽  
Mechanical Quadrature ◽  
Thermoelastic Characteristics

Abstract Two-dimensional stationary problem of heat conduction and thermoelasticity for infinite elastic body containing periodic system of inclusions and cracks is considered. Solution of the problem is constructed using the method of singular integral equations (SIEs). The numerical solution of the system integral equations are obtained by the method of mechanical quadrature for a plate heated by a heat flow, containing periodic system elliptic inclusions and thermally insulated cracks. There are obtained graphic dependences of stress intensity factors (SIFs), which characterise the distribution of intensity of stresses at the tops of a crack, depending on the length of crack, elastic and thermoelastic characteristics inclusion, relative position of crack and inclusion.

Indentation of an Anisotropic Half-Space by a Heated Flat Punch

2004 ◽  
Vol 71 (2) ◽  
pp. 266-272
Author(s):  
Yuan Lin ◽  
Timothy C. Ovaert
Keyword(s):  
Contact Problem ◽  
Half Space ◽  
Two Dimensional ◽  
Extended Version ◽  
Contact Interface ◽  
Flat Punch ◽  
Thermoelastic Contact ◽  
First Case ◽  
Stroh’S Formalism ◽  
Thermoelastic Contact Problem

The two-dimensional thermoelastic contact problem of an anisotropic half-space indented by a heated rigid flat punch is studied using the extended version of Stroh’s formalism. Two cases, where the contact interface is nonslip and frictionless, have been considered. In the first case, the contact is perfect throughout the punch face. In the second case, separation is assumed to occur at the edges of the punch.

scholarly journals Friction Effect in a Plane Problem of Punch Acting on A Half-Space Weakened by Cracks

2014 ◽  
Vol 8 (2) ◽  
pp. 107-114
Author(s):  
Adam Tomczyk
Keyword(s):  
Stress Intensity ◽  
Contact Problem ◽  
Half Space ◽  
Singular Integral ◽  
Stress Intensity Factors ◽  
Singular Integral Equations ◽  
Complex Variables ◽  
Intensity Factors ◽  
Straight Crack ◽  
Crack Tips

Abstract This work makes use of singular integral equations method to solve plane contact problem for a half-space containing cracks. This method is based on complex variables. Relationships are presented which help find the contact pressure under the punch and the value of stress intensity factors at the crack tips. A detailed solution is presented for the problem of a punch pressed to the surface of a half-space weakened by a single straight crack. It includes both a situation where the punch has a flat and parabolic base. The influence of friction and the position of the crack on the distribution of the values of stress intensity factors i in the functions of crack length and distance from the contact zone was analyzed in detail.

Analysis of Branched Interface Cracks Between Dissimilar Anisotropic Media

1989 ◽  
Vol 56 (4) ◽  
pp. 844-849 ◽  
Author(s):  
G. R. Miller ◽  
W. L. Stock
Keyword(s):  
Stress Intensity ◽  
Singular Integral ◽  
Stress Intensity Factors ◽  
Crack Problem ◽  
Singular Integral Equations ◽  
Crack Branching ◽  
Intensity Factors ◽  
Function Solution ◽  
Special Cases ◽  
Branch Crack

A solution is presented for the problem of a crack branching off the interface between two dissimilar anisotropic materials. A Green’s function solution is developed using the complex potentials of Lekhnitskii (1981) allowing the branched crack problem to be expressed in terms of coupled singular integral equations. Numerical results for the stress intensity factors at the branch crack tip are presented for some special cases, including the no-interface case which is compared to the isotropic no-interface results of Lo (1978).

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