Theoretical analyses and numerical simulations on the mechanical strength of multilayers subjected to ring-on-ring tests
Theoretical analyses and numerical simulations on the mechanical strength of multilayers subjected to ring-on-ring tests
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DOI：
10.1016/j.matdes.2013.03.090
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发表时间：
2013-10
影响因子：
8.4
通讯作者：
Z. Dapeng;Jianqiu Zhou;Jianqiu Zhou;Shenmin Zhang;Luling Wang;Shuhong Dong
中科院分区：
文献类型：
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作者：
Z. Dapeng;Jianqiu Zhou;Jianqiu Zhou;Shenmin Zhang;Luling Wang;Shuhong Dong
双轴弯曲试验已广泛应用于测量整体线弹性材料的强度。尽管多层复合材料的应用越来越广泛，但用双轴弯曲试验对其强度进行理论描述似乎非常困难，并且在双轴弯矩作用下多层复合材料的相对断裂载荷-双轴强度关系仍然不可用。本文推导了受双轴弯矩作用下多层薄圆盘弹性应力分布的先进解。通过环对环试验，我们发现了单层圆盘和多层圆盘之间的转换关系。为了评估解的准确性，进一步对单层、不同厚度比的双层和三层圆盘进行了有限元分析。在应力分布结果中，我们提出了在界面处存在的应力梯度，它可以协调模型中的双层体系。目前的简单封闭解可以对多层体系的双轴强度进行评估。
Biaxial flexure tests have been applied widely to measure the strength of monolithic linear elastic materials. In spite of the increasing applications of multilayered composite materials, the theoretical description on their strengths using biaxial flexure tests seems very difficult and the relative fracture load-biaxial strength relationship for multilayered discs subjected to biaxial moment is still unavailable. In this paper, the advanced solutions for the elastic stress distribution in thin multilayered discs subjected to biaxial bending moment have been derived. We find the convertible relationship between monolayered and multilayered discs subjected to ring-on-ring tests. To evaluate the accuracy of the solutions, finite element analyses (FEA) are further performed on monolayered, bilayered with different thickness ratios and trilayered discs, respectively. In stress distribution results, we present stress gradient existing at the interface, which can harmonize the bilayered systems in our model. The present simple closed-form solutions can allow the biaxial strength of multilayered systems to be evaluated.