Construction and justification of Paris-like fatigue laws from Dugdale-type cohesive models

被引：10

作者：

Abdelmoula R. ^{[1
]}

Marigo J.-J. ^{[2
]}

Weller T. ^{[3
]}

机构：

[1] LPMTM (UPR-CNRS 9001), Université Paris XIII

[2] Laboratoire de Mécanique des Solides (UMR 7649), Ecole Polytechnique

[3] LMGC (UMR 5508), Université Montpellier II, Montpellier Cedex

来源：

Annals of Solid and Structural Mechanics | 2010年 / 1卷 / 03期

关键词：

Cohesive force; Complex analysis; Cyclic loading; Fatigue; Fracture mechanics; Variational approach;

D O I：

10.1007/s12356-010-0011-3

中图分类号：

学科分类号：

摘要：

We propose a construction of fatigue laws from cohesive forces models in the case of a crack submitted to a mode I cyclic loading. Taking the cumulated opening as the memory variable and the surface energy density associated with Dugdale's model, we explicitly construct the fatigue law which gives the crack growth rate by cycle dl/dN in terms of the stress intensity factor KI. In particular, we recover a Paris law with an exponent 4, i.e., dl/dN = CKI4, when KI is small, the coefficient C being explicitly expressed in terms of the material parameters. Furthermore, the law can be applied in the full range of values of KI and can be extended to non simple cycles. © 2010 Springer-Verlag.

引用

页码：139 / 158

页数：19

共 36 条

[1]

Abdelmoula R., Marigo J.-J., Weller T., Construction des lois de fatigue à partir de modèles de forces cohésives: cas de fissures en mode I, Comptes Rendus Mécanique, 337, 3, pp. 166-172, (2009)

[2]

Abdelmoula R., Marigo J.-J., Weller T., Construction d'une loi de fatigue à partir d'un modèle de forces cohésives: cas d'une fissure en mode III, Comptes Rendus Mécanique, 337, 1, pp. 53-59, (2009)

[3]

Abdul-Baqi A., Schreurs P.J.G., Geers M.G.D., Fatigue damage modeling in solder interconnects using a cohesive zone approach, Int J Sol Struct, 42, pp. 927-942, (2005)

[4]

Barenblatt G.I., The mathematical theory of equilibrium cracks in brittle fracture, Adv Appl Mech, pp. 55-129, (1962)

[5]

Bourdin B., Francfort G.A., Marigo J.-J., The variational approach to fracture, J Elast, 91, 1-3, pp. 5-148, (2008)

[6]

Bui H.D., Mécanique de la rupture fragile, (1978)

[7]

Charlotte M., Laverne J., Marigo J.-J., Initiation of cracks with cohesive force models: a variational approach, Eur J Mech A-Solid, 25, 4, pp. 649-669, (2006)

[8]

Cherepanov G.P., Mechanics of Brittle Fracture, (1979)

[9]

Dal Maso G., Francfort G.A., Toader R., Quasistatic crack growth in nonlinear elasticity, Arch Ration Mech Anal, 176, 2, pp. 165-225, (2005)

[10]

Dal Maso G., Toader R., A model for the quasi-static growth of brittle fractures: existence and approximation results, Arch Ration Mech Anal, 162, pp. 101-135, (2002)

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