The main aim of this article is to develop an efficient boundary element method (BEM) modeling of the fractional nonlinear generalized photo thermal stress wave propagation problems in the context of functionally graded (FG) anisotropic smart semiconductors. Due to nonlinearity, fractional order heat conduction and strongly anisotropy of mechanical properties, the governing equations system of such problems is often very difficult to solve using classical analytical methods. Therefore, a reliable and efficient coupling scheme based on BEM was proposed to address this challenge, where, the Cartesian transformation method (CTM) has been implemented to calculate the domain integrals, and the generalized modified shift-splitting (GMSS) has been implemented for solving the linear systems arising from BEM. The calculation findings are depicted in graphical forms to display the impacts of temperature-dependent, anisotropy, piezoelectric, graded parameter and fractional parameter on the nonlinear photo thermal stress wave propagation in the considered structure. The numerical findings confirm the consistency and efficacy of the developed modeling methodology.

本文的主要目的是在功能梯度 (FG) 各向异性智能半导体的背景下开发一种有效的边界元方法 (BEM) 建模分数非线性广义光热应力波传播问题。由于非线性、分数阶热传导和机械性能的强烈各向异性，这些问题的控制方程组通常很难用经典的解析方法求解。因此，提出了一种基于边界元法的可靠且高效的耦合方案来解决这一挑战，其中，已实施笛卡尔变换方法 (CTM) 来计算域积分，并已实施广义修正移位分裂 (GMSS)求解由边界元法产生的线性系统。计算结果以图形形式描述，以显示温度相关、各向异性、压电、梯度参数和分数参数对所考虑结构中非线性光热应力波传播的影响。数值结果证实了所开发的建模方法的一致性和有效性。