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arXiv 1503.04078cond-mat.mtrl-sci
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热-机械载荷作用下具有理想和非理想粘结及脱层的多层宽板和梁的显式解

Explicit solutions for multi-layered wide plates and beams with perfect and imperfect bonding and delaminations under thermo-mechanical loading

M. Pelassa, R. Massabo

摘要:

为了便于工程应用,本文导出了受稳态热载荷和机械载荷作用的简支多层宽板和梁的广义位移和应力的显式表达式。该表达式是通用的,适用于由任意数量的层组成的板,具有任意厚度和弹性/热性能,并且层之间的界面可能不完美并允许相对滑动。使用多尺度均质化模型,仅依赖于三个位移变量,并克服了计算昂贵的离散层模型的基础上,目前的方法的局限性,获得了封闭形式的解决方案。预测的高度复杂和不连续的字段,其特征厚和高度各向异性板层间损伤和分层的响应的表达式的准确性进行了验证,使用精确的2D热弹性解决方案。该模型/解决方案的渐近极限对应的问题的一个完整的和一个多脱层板。它们是使用微扰技术,这也解释了多尺度依赖的模型上的参数。

英文摘要:

Explicit expressions, for efficient application in engineering practice, are derived for generalized displacements and stresses in simply supported multi-layered wide plates and beams subjected to steady-state thermal and mechanical loading. The expressions are general and apply to plates composed of an arbitrary number of layers, of arbitrary thickness and elastic/thermal properties, and where the interfaces between the layers may be imperfect and allow relative sliding. The closed-form solutions are obtained using a multiscale homogenized model which depends on only three displacement variables and overcomes limitations of current approaches based on computationally expensive discrete-layer models. The accuracy of the expressions in predicting the highly complex and discontinuous fields, which characterize the response of thick and highly anisotropic plates with interlayer damage and delaminations, is verified using exact 2D thermo-elasticity solutions. The asymptotic limits of the model/solution correspond to the problems of an intact and a multiply delaminated plate. They are derived using a perturbation technique, which also explains the multiscale dependence of the model on the parameters.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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