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An efficient approach for multilayered beams and wide plates with imperfect interfaces and delaminations

机译：界面和分层不完善的多层梁和宽板的有效方法

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摘要

In multilayered systems with interfacial imperfections, such as imperfect bonding of the layers or delaminations, or where the plies are separated by thin interlayers allowing relative motion, the displacement field is highly discontinuous in the thickness, with a characteristic zig-zag pattern and interfacial jumps. Stresses also have large variations, especially for highly deformable interlayers or fully debonded layers. These effects cannot be captured using classical, first- or higher-order single-layer theories. A mechanical model is formulated for the solution of multilayered beams/wide plates with an arbitrary number of imperfect interfaces/delaminations loaded dynamically. The formulation is in the framework of the discrete-layer approach and the interfaces are described through affine traction laws which relate interfacial tractions and relative displacements. Homogenization and variational techniques define novel equilibrium equations depending on only four generalized displacement functions. Comparison with 2D elasticity solutions shows that complex discontinuous fields in thick, highly-anisotropic plates with an arbitrary number of sliding-interfaces are accurately predicted. The approach extends the range of problems which can be solved analytically compared to discrete-layer models where the unknowns depend on the number of layers/interfaces. The affine traction laws describe arbitrary branches of piece-wise linear functions approximating nonlinear traction laws to represent different interfacial mechanisms.
机译：在具有界面缺陷的多层系统中，例如层或层的粘合不完善，或者层被薄的中间层隔开并允许相对运动的情况下，位移场的厚度高度不连续，具有锯齿形和界面跳变。应力也有很大的变化，特别是对于高度变形的中间层或完全脱粘的层。使用经典的，一阶或更高阶的单层理论无法捕获这些效果。制定了一种机械模型，用于求解多层梁/宽板的问题，该梁具有动态加载的任意数量的不完善界面/分层。该表述是在离散层方法的框架内进行的，并且通过仿射牵引定律描述了界面，该仿射牵引定律与界面牵引和相对位移有关。均质化和变分技术仅根据四个广义位移函数定义了新的平衡方程。与2D弹性解的比较表明，可以准确地预测具有任意数量的滑动界面的厚各向异性高板中的复杂不连续场。与离散层模型相比，该方法扩展了可以解析解决的问题范围，在离散层模型中，未知数取决于层/界面的数量。仿射牵引定律描述了分段线性函数的任意分支，近似非线性牵引定律来表示不同的界面机制。

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  • 来源
    《Composite Structures》 |2014年第sepaaocta期|311-324|共14页
  • 作者

    Roberta Massabo; Francesca Campi;

  • 作者单位

    Polytechnic School, University of Genoa, Department of Civil, Chemical and Environmental Engineering, Via Montallegro 1, 16145 Genoa, Italy;

    Polytechnic School, University of Genoa, Department of Civil, Chemical and Environmental Engineering, Via Montallegro 1, 16145 Genoa, Italy;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Composite beams; Cohesive interfaces; Delamination; Structural mechanics; Plate theories;

    机译：复合梁;内聚接口;分层;结构力学;板理论;

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