 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
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| S. A. Nazarov, "Damage tensor and damage measures. 3. Damage characteristics associated with an invariant integral," Mech. Solids. 36 (3), 65-73 (2001) |
| Year |
2001 |
Volume |
36 |
Number |
3 |
Pages |
65-73 |
| Title |
Damage tensor and damage measures. 3. Damage characteristics associated with an invariant integral |
| Author(s) |
S. A. Nazarov (St. Petersburg) |
| Abstract |
For an elastic body weakened by a periodic family of defects,
we introduce a fourth rank tensor of damage and the corresponding
damage measures. The measures are associated with eigenvalues
of a certain sheaf containing the tensor of damage. The tensor itself can
be restored from the values of the invariant integral M over the outer
surface of the body. The said characteristics are involved in
asymptotic formulas for the increments of strains and the potential energy,
the looseness of the body, etc. We define damage measures adapted
to a fixed stress state and, in special cases, coinciding with the classical
scalar damage function. A kinetic equation is obtained for
damage accumulation. |
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|
| Received |
16 November 1998 |
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