On the energy condition for fracture of solids

Dunaev, I. M.; Dunaev, V.I.

doi:10.1134/1.171745

“…The critical stresses (25) at tension and compression are different and obviously depend on T 0 and α 0 . In [9], the solution similar to (25) was obtained for a defect in the form of a crack. In [10], using condition (23), a curve of fracture in the form of an ellipse in the space of principle stresses P 1 , P 2 has been obtained with additional limitations imposed upon the physical and mathematical models of the defect, conditions of isotropy and convexity…”

Section: Energy Condition For Fracture Using Two Models For An Isolat...mentioning

confidence: 84%

Analysis of the thermodynamic conditions for brittle fracture

Dunaev

¹

,

Dunaev

²

2004

Comptes Rendus Mecanique

0

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The analysis of the thermodynamic conditions for brittle fracture is given for the two known models of an isolated defect. In the first model the stresses on the external surface of the solid remain the same as before and after formation of a defect. In the second model the displacements on the external surface of the solid at a defect formation remain the same as in the solid without a defect. It is shown that the first model in the isothermal case of deformation leads to Griffith condition and the second model leads to the other proposed energy condition of fracture which, unlike the Griffith condition, contains an increment of the entropy component of the internal energy which is not zero in a general case. To cite this article:

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Analysis of the thermodynamic conditions for brittle fracture

Dunaev

¹

,

Dunaev

²

2004

Comptes Rendus. Mécanique

0

View full text Add to dashboard Cite

The analysis of the thermodynamic conditions for brittle fracture is given for the two known models of an isolated defect. In the first model the stresses on the external surface of the solid remain the same as before and after formation of a defect. In the second model the displacements on the external surface of the solid at a defect formation remain the same as in the solid without a defect. It is shown that the first model in the isothermal case of deformation leads to Griffith condition and the second model leads to the other proposed energy condition of fracture which, unlike the Griffith condition, contains an increment of the entropy component of the internal energy which is not zero in a general case. To cite this article:

show abstract