The present study is concerned with the dynamic response of an anisotropic composite structure due to a normal moving load on its irregular rough surface. The composite structure is comprised of an irregular incompressible heterogeneous transversely isotropic fluid-saturated poroelastic layer lying over a transversely isotropic substrate. The mathematical formulation of this structure gives rise to a boundary value problem with specified boundary conditions, and the perturbation method has been used to tackle the irregular surface problem. The expressions for the induced shear and normal stresses in layer and substrate of the composite structure are derived analytically in closed form due to the moving load. As a special case of the problem, the deduced expressions of the induced stresses are validated with the pre-established and standard results. The effect of several substantial parameters such as vertical depth, heterogeneity parameter, porosity parameter, frictional coefficient, irregularity depth, and irregularity factor on the induced shear as well as normal stresses of the layer and substrate has been delineated graphically by the numerical computation. Moreover, a comparative study of the various types of irregularity, namely rectangular irregularity, parabolic irregularity and no irregularity (regular boundary surface) on the induced shear and normal stresses in the layer and, substrate, is carried out by means of graphs, and some considerable peculiarities are outlined.

中文翻译：

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法向移动荷载作用下不规则异质各向异性多孔弹性复合结构的动力响应

本研究涉及各向异性复合结构由于其不规则粗糙表面上的法向移动载荷而引起的动态响应。该复合结构由位于横向各向同性基底上的不规则不可压缩异质横向各向同性流体饱和多孔弹性层组成。这种结构的数学公式产生了具有指定边界条件的边值问题，而微扰方法已被用于解决不规则表面问题。 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 由于移动载荷，复合结构的层和基底中的诱导剪切和法向应力的表达式以闭合形式解析导出。作为该问题的一个特例，诱导应力的推导表达式通过预先建立的标准结果进行验证。垂直深度、非均质性参数、孔隙度参数、摩擦系数、不规则深度和不规则因子等几个重要参数对层和基底的诱导剪切和法向应力的影响已通过数值计算以图形方式描绘出来。此外，通过图表对各种类型的不规则性进行了比较研究，即矩形不规则性、抛物线不规则性和非规则性边界面（规则边界面）在层和基底中的诱导剪切应力和法向应力，以及一些概述了相当多的特点。诱导剪切的不规则因子以及层和基底的法向应力已通过数值计算以图形方式描绘出来。此外，通过图表对各种类型的不规则性进行了比较研究，即矩形不规则性、抛物线不规则性和非规则性边界面（规则边界面）在层和基底中的诱导剪切应力和法向应力，以及一些概述了相当多的特点。诱导剪切的不规则因子以及层和基底的法向应力已通过数值计算以图形方式描绘出来。此外，通过图表对各种类型的不规则性进行了比较研究，即矩形不规则性、抛物线不规则性和非规则性边界面（规则边界面）在层和基底中的诱导剪切应力和法向应力，以及一些概述了相当多的特点。