Abstract

A boundary value problem is considered in a functionally graded elastic strip. A three-term asymptotic expansion of a transfer function is obtained for the Poincaré–Steklov operator that maps normal stresses to normal displacements on a part of the strip boundary. Padé approximations are determined for the obtained asymptotic series. An approach to computing the transfer function using the asymptotic series and the Padé approximations is proposed, which reduces computational costs.

中文翻译：

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计算功能梯度弹性条的 Poincaré-Steklov 算子的传递函数

摘要

在功能梯度弹性条中考虑边值问题。对于 Poincaré-Steklov 算子，获得了传递函数的三项渐近展开式，该算子将法向应力映射到带状边界一部分上的法向位移。确定所获得的渐近级数的 Padé 近似值。提出了一种使用渐近级数和Padé近似来计算传递函数的方法，该方法降低了计算成本。