Justification of Paris-type Fatigue Laws from Cohesive Forces Model via a Variational Approach

Jaubert, A.; Marigo, J.
August 2006
Continuum Mechanics & Thermodynamics;Aug2006, Vol. 18 Issue 1/2, p23
Academic Journal
By using a principle of least energy and a surface energy of the Dugdale-Barenblatt type which is supplemented by an irreversibility condition, we build a debonding model of thin films valid for a monotone loadings as well as for cyclic loadings. When the internal length of the Dugdale model is small in comparison to the characteristic length of the film, we show that the growth of the debonding follows Griffith’s law under a monotone loading and a Paris-type law under a cyclic loading.


Related Articles

  • Ab initio study on fracture toughness of Ti0.75X0.25C ceramics. Chen, Kuiying; Bielawski, Mariusz // Journal of Materials Science;Dec2007, Vol. 42 Issue 23, p9713 

    Ab initio density functional theory calculations have been performed to evaluate the fracture toughness for selected Ti0.75X0.25C ceramics (X = Ta, W, Mo, Nb and V). The calculated Young’s modulus E, surface energy γ and fracture toughness K IC of pure TiC are in a good agreement with...

  • Effect of surface energy on the plastic behavior of crystalline thin films under plane strain constrained shear. Gan-Yun Huang; Svendsen, Bob // International Journal of Fracture;Nov2010, Vol. 166 Issue 1/2, p173 

    In this work, a new continuum dislocation based model for crystal plasticity with surface energy effect is proposed. Based on the model, a thin film under plane constrained shear is considered. From the perspective of energy, the yield strength as a function of film thickness has been calculated...

  • Alteration of Structure and Properties of Thin Polyimide Films and Coatings by Plasma and Thermal Treatment. Agapov, O. A.; Babaevskii, P. G.; Zhukov, A. A.; Korneeva, G. A.; Korovina, I. Yu.; Chetverov, Yu. S. // High Energy Chemistry;Mar/Apr2004, Vol. 38 Issue 2, p124 

    The influence of alternating radiofrequency-plasma and heat treatment on the structure and bulk properties of polyimide films and coatings with a thickness of 3.5 �m was studied. It was shown that plasma treatment leads to the enhancement of the specific surface energy due to the polar...

  • Patterned growth of pentacene. Steudel, Soeren; Janssen, Dimitri; Verlaak, Stijn; Genoe, Jan; Heremans, Paul // Applied Physics Letters;12/6/2004, Vol. 85 Issue 23, p5550 

    We propose a way of patterning organic small molecule thin films without requiring a hardmask and therefore more compatible with printing technologies. Active and passive areas for transistors are predefined by different surface chemistries. The subsequent growth takes place under conditions...

  • Surface reactivity and electrophoretic deposition of ZrO2—MgO mechanical mixture. Castro, Ricardo H. R.; Marcos, Paulo J. B.; Sakamoto, Eduardo K.; Gouvêa, Douglas // Journal of Materials Science;Aug2007, Vol. 42 Issue 16, p6946 

    Electrophoretic deposition (EPD) is a precision technique useful for obtaining high quality ceramic bodies with controlled dimensions and smooth coatings. The electrophoretic deposition rate is highly dependent on the surface chemistry of the powders, especially when dealing with multi-component...

  • Study on the free surface energy per unit area of aluminium nanodrops using the schommers potential. Sdobnyakov, N. Yu.; Bazulev, A. N.; Samsonov, V. M.; Kul'pin, D. A.; Sokolov, D. N. // Journal of Structural Chemistry;Dec2009, Vol. 50 Issue 6, p1171 

    Based on thermodynamic perturbation theory, we calculate the surface tension for aluminium nanodrops of various radii. The size dependence obtained with the Schommers potential is compared with the results corresponding to other effective pair potentials. It is stated that the asymptotic value...

  • Recalcitrant bubbles. Shanahan, Martin E. R.; Sefiane, Khellil // Scientific Reports;4/18/2014, p1 

    We demonstrate that thermocapillary forces may drive bubbles against liquid flow in 'anomalous' mixtures. Unlike 'ordinary' liquids, in which bubbles migrate towards higher temperatures, we have observed vapour bubbles migrating towards lower temperatures, therefore against the flow. This...

  • Microfluidic manipulation via Marangoni forces. Farahi, R.H.; Passian, A.; Ferrell, T.L.; Thundat, T. // Applied Physics Letters;11/1/2004, Vol. 85 Issue 18, p4237 

    A convective flow system is engendered when two liquid droplets, or a liquid droplet and a solid surface, are maintained at different temperatures. Such flows give rise to Marangoni forces which under proper conditions prevent droplet coalescence, cause fluid motion, and dewetting. We present a...

  • Extreme value analysis of ductile fracture surface by dimpled rupture associated with fracture behavior of tensile specimens. Ohashi, M. // Journal of Materials Science;Dec2007, Vol. 42 Issue 23, p9877 

    The extreme value analysis of the ductile fracture surface by dimpled rupture was performed associated with the fracture behavior of spheroidal graphite cast iron. A wide variation in the sizes of dimples is commonly observed on the ductile fracture surfaces of most materials. A statistical...


Read the Article


Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics