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首页> 外文期刊>Composite Structures >Exact solution for infinite multilayer pipe bonded by viscoelastic adhesive under non-uniform load
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Exact solution for infinite multilayer pipe bonded by viscoelastic adhesive under non-uniform load

机译：在非均匀载荷下通过粘弹性粘合剂粘合无限多层管的精确解决方案

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摘要

An analytical solution is presented for an infinite multilayer pipe bonded by viscoelastic interlayer subjected to racial loads non-uniformly distributed along the circumferential direction in order to investigate its time-dependent behavior. The elasticity equations in the polar coordinate are used to describe the stresses and displacements in each pipe layer. The viscoelastic property of the interlayer is modeled by the standard linear solid model considering the strain memory effect. By means of the Fourier series expansion method, the general solution of stresses and displacements is derived out with unknown coefficients, which are further determined by using the analytical Laplace transformation method. The present solution obtained can be used as the benchmark to validate other solutions such as finite element solution for the same problem. The comparison study shows a trend of the finite element solution converging to the present one as the mesh becomes refined; however, such a finite element model is time-consuming. The influences of load distribution, geometry and material parameters on the time-dependent stress and displacement fields in the pipe are discussed detailedly.
机译：提出了一种分析解决方案，用于通过沿着圆周方向不均匀地分布的种族负载粘合的粘弹性中间层粘合的无限多层管，以便研究其时间依赖性行为。极性坐标中的弹性方程用于描述每个管道层中的应力和位移。考虑应变记忆效应的标准线性实体模型，中间层的粘弹性是模型的。借助于傅立叶级膨胀方法，应力和位移的一般解与未知系数，通过使用分析拉普拉斯变换方法进一步确定。所获得的本解决方案可以用作验证其他解决方案的基准，例如有限元解决方案。比较研究表明，随着网格变化的，将有限元溶液聚集到本发明的溶液;然而，这种有限元模型是耗时的。细节讨论了负载分布，几何和材料参数对管中的时间依赖应力和位移场的影响。

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