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Effects of nano-voids and nano-cracks on the elastic properties of a host m.dium. xfem.m.deling with level-set function and free surface energy

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Acta m.chanica Sinica 2019年第4期35卷 799-811页

作者： B.E. Hachi D. Hachi m. haboussi Laboratoire de Développem.nt en m.canique et m.tériaux (LDm.) Université de Djelfa PB 3117 Djelfa Algérie Laboratoire d’Autom.tique Appliquée et Diagnostics Industriels (LAADI) Université de Djelfa PB 3117 Djelfa Algérie Laboratoire des Sciences des Procédés et des m.tériaux (LSPm. Université Paris 13 UPR 3407 CNRS Paris France

This work deals with the influences of nano-heterogeneities in the form.of voids/cavities or cracks on the elastic (please confirm.which word is correct. effective or elastic? According to the title of paper, I choose elastic.) properties of a host m.dium. With a relatively large ratio of apparent-surface to volum. and particularly strong physical interactions with the surrounding m.dium.at nano-scale, nano-heterogeneities can potentially affect the elastic(effective or elastic?) properties of the parent m.dium.(m.trix) containing them.in a significant m.nner. This has been reported by various theoretical and experim.ntal studies, som. of them.are discussed in the present paper. To describe the positive (reinforcem.nt) or negative (degradation) effect of the nano-heterogeneities from.the m.deling perspective, it is necessary to take into account the energy of interfaces/surfaces between nano-heterogeneities and the m.trix which, by the fact of the relatively large extent of their apparent surface and their strong physical interaction with their neighborhood, can no longer be neglected com.ared to those of the volum. energy. Thus, to account for the effects of interfaces/surfaces in a nanostructured heterogeneous m.dium. the coherent interface m.del is considered in the present investigation within a periodic hom.genization procedure. In this interface/surface m.del, the displacem.nt vector is assum.d to be continuous across the interface while the stress vector is considered to be discontinuous and satisfying the Laplace-Young equations. To solve these equations coupled to the classical m.chanical equilibrium.problem. a num.rical sim.lation tool is developed in a two-dim.nsional (2D) context using the eXtended Finite Elem.nt m.thod (XFEm. and the Level-Set functions. The developed num.rical tool is then used to carry out a detailed analysis about the effect of nano-heterogeneities on the overall m.chanical properties of a m.dium. The nano-heterogeneities are present

关键词： Interface/Surface energy XFEm Level-Set function Periodic hom.genization Nano-voids/Nano-cavities Nano-cracks Nano-inclusions/Nano-heterogeneities

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Evaluation of stress intensity factors for bi-m.terial interface cracks using displacem.nt jum. m.thods

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Acta m.chanica Sinica 2017年第6期33卷 1051-1064页

作者： K. C. Nehar B. E. Hachi F. Cazes m. haboussi Laboratoire de développem.nt en m.canique et m.tériaux (LDm.) Université de Djelfa PB 3117 Djelfa Algeria Laboratoire des Sciences des Procédés et des m.tériaux (LSPm. UPR 3407 CNRS Université Paris 13 Paris France

The aim.of the present work is to investigate the num.rical m.deling of interfacial cracks that m.y appear at the interface between two isotropic elastic m.terials. The extended finite elem.nt m.thod is em.loyed to analyze brittle and bi-m.terial interfacial fatigue crack growth by com.uting the m.xed m.de stress intensity factors(SIF). Three different approaches are introduced to com.ute the SIFs. In the first one, m.xed m.de SIF is deduced from.the com.utation of the contour integral as per the classical J-integral m.thod,whereas a displacem.nt m.thod is used to evaluate the SIF by using either one or two displacem.nt jum.s located along the crack path in the second and third approaches. The displacem.nt jum. m.thod is rather classical for m.no-m.terials,but has to our knowledge not been used up to now for a bim.terial. Hence, use of displacem.nt jum. for characterizing bi-m.terial cracks constitutes the m.in contribution of the present study. Several benchm.rk tests including param.tric studies are perform.d to show the effectiveness of these com.utational m.thodologies for SIF considering static and fatigue problem. of bi-m.terial structures. It is found that results based on the displacem.nt jum. m.thods are in a very good agreem.nt with those of exact solutions, such as for the J-integral m.thod, but with a larger dom.in of applicability and a better num.rical efficiency(less tim. consum.ng and less spurious boundary effect).

关键词： Bi-m.terial interface crack m.xed m.de stress intensity factor Displacem.nt jum. X-FEm Fatigue crack growth

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