The present paper is devoted to the study of longitudinal traction problem of a composite beam with debonded fibers but in contact with the matrix. We show, using the behavior results of” debonded” composites obtained in [Berrehili, Y. and J.-J. Marigo, 2013, The homogenized behavior of unidirectional fiber-reinforced composite materials in the case of debonded fibers, Mathematics and Mechanics of Complex Systems sous presse.] and some intuitive remarks on the symmetry of the problem, that when the period of the microstructure is small enough, the displacement field solution is approximated, in the first order, by a explicit displacement field depending on the fineness of the microstructure. Moreover, unlike that found in the literature, this field depends not only on classical homogenized tensor but also new homogenized tensors characterizing the ”debonded” composite.
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机译:本文致力于研究具有脱粘纤维但与基体接触的复合梁的纵向牵引问题。我们使用[Berrehili,Y. and J.-J. and J. Marigo,2013年,单向纤维增强复合材料在脱粘纤维情况下的均质化行为,复杂系统的数学和力学,按压力。]和一些关于该问题对称性的直观评论,即当微结构的周期为足够小,则根据微观结构的精细度,通过显式位移场对位移场解进行一阶近似。此外,与文献中发现的不同,该领域不仅取决于经典的均质张量,而且取决于表征“脱粘”复合材料的新型均质张量。
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