Local minima and gradients of stiffness and conductivity as indicators of strength reduction of brittle-elastic materials

International Journal of Fracture

Volumn 164, Issue 1, 2010, Pages 147-154

  Sevostianov, Igor ^a   Kachanov, Mark ^b  

^a New Mexico State University   (United States)

^b Tufts University   (United States)

Author keywords

Cluster; Elastic properties; Fracture; Microdefects

Indexed keywords

CLUSTER; DEFECT CLUSTER; EFFECTIVE ELASTIC PROPERTY; ELASTIC MATERIALS; ELASTIC PROPERTIES; ELASTIC STIFFNESS; KEY PARAMETERS; LOCAL MINIMUMS; MICRO-DEFECTS; MINIMAL VALUE; SPATIAL GRADIENTS; STIFFNESS LOSS; STRENGTH REDUCTION;

CRACKS; FRACTURE; STIFFNESS;

ELASTICITY;

EID: 77953760081     PISSN: 03769429     EISSN: 15732673     Source Type: Journal    
DOI: 10.1007/s10704-010-9485-6     Document Type: Article

References (18)

1. D. Bristow 1960 Microcracks and the static and dynamic elastic constants of annealed heavily cold-worked metals British Journal of Applied Physics 11 81 85 10.1088/0508-3443/11/2/309 1:CAS:528:DyaF3cXntlyguw%3D%3D 1960BJAP.11.81B
2. Caiulo, A. and Kachanov, M (2010) On absence of quantitative correlations between strength and stiffness in microcracking materials. International Journal of Fracture, DOI 10.1007/s10704-010-9486-5 (This issue).
3. B. Cotterell J.R. Rice 1980 Slightly curved or kinked cracks International Journal of Fracture 16 2 155 169 10.1007/BF00012619
4. Kachanov, L. M. (1958) Rupture time under creep conditions, Izvestija Academii Nauk SSSR, 8: 26-31 (Reprinted in International Journal of Fracture, 97, 11-18).
5. M. Kachanov 1994 On the concept of damage in creep and in the brittle-elastic range International Journal of Damage Mechanics 3 329 337 10.1177/105678959400300402
6. D. Krajcinovic 1989 Damage mechanics Mechanics of Materials 8 117 197 10.1016/0167-6636(89)90011-2
7. V.I. Kushch S.V. Shmegera I. Sevostianov 2009 SIF statistics in micro cracked solids: effect of crack density, orientation and clustering International Journal of Engineering Science 47 192 208 10.1016/j.ijengsci.2008. 09.014 1:CAS:528:DC%2BD1MXhsVCrs74%3D 2498972
8. V.I. Kushch I. Sevostianov L. Mishnaevsky 2009 Effect of crack orientation statistics on effective stiffness of mircocracked solid International Journal of Solids and Structures 46 1574 1588 10.1016/j.ijsolstr. 2008.11.023
9. Maugin, G.R. (1992). The Thermomechanics of Plasticity and Fracture. Cambridge University Press.
10. Murakami Y. (ed.) (1987) Stress Intensity Factors Handbook. Pergamon Press.
11. T.K. O'Brien K.L. Reifsnider 1977 Fatigue damage: Stiffness/strength comparison for composite materials Journal of Testing and Evaluation 5 384 393 10.1520/JTE10547J
12. Reifsnider, K. and Stinchcomb, W. (1983) Stiffness change as a fatigue damage parameter for composite laminates. In: Advances in Aerospace Structures, Materials and Dynamics, ASME (Ed. U.Yuceoglu et al), 1-6. (Pubitemid 14459543)
13. Rice, J. R. (1975) Continuum mechanics and thermodynamics of plasticity in relation to microscale deformation mechanisms. In: Constitutive Equations in Plasticity (Ed. A. Argon), MIT Press, 171-190.
14. I. Sevostianov M. Kachanov 2002 Explicit cross-property correlations for anisotropic two-phase composite materials Journal of the Mechanics and Physics of Solids 50 253 282 1008.74003 10.1016/S0022-5096(01)00051-5 1892978 2002JMPSo.50.253S (Pubitemid 34201045)
15. Sevostianov, I. and Kachanov, M. (2008) Connections between elastic and conductive properties of heterogeneous materials. In: Advances in Applied Mechanics (Ed. by Van der Giessen), vol. 42, 69-252.
16. I. Sevostianov V.I. Kushch 2009 Effect of pore clusters on the statistics of peak stress and overall properties of porous material International Journal of Solids and Structures 46 4419 4429 1176.74151 10.1016/j.ijsolstr.2009.09.002
17. Sevostianov, I., Zagrai, A., Kruse, W.A., Hardee, H.C. (2010) Connection between strength reduction, electric resistance and electro-mechanical impedance in materials with fatigue damage, International Journal of Fracture, DOI 10.1007/s10704-010-9487-4 (This issue).
18. I. Tsukrov M. Kachanov 1997 Stress concentrations and microfracturing patterns in a brittle-elastic solid with interacting pores of diverse shapes International Journal of Solids and Structures 34 22 2887 2904 0939.74589 10.1016/S0020-7683(96)00202-8