In the present article, three-dimensional size dependent thermal analysis of three-layered nanoplate with porous graded core and two piezomagnetic face-sheets is studied based on nonlocal strain gradient theory considering thickness stretching effect. The sandwich nanoplate standing on an elastic foundation and face layers are exposed to electric/magnetic potentials. Porosity is evenly and unevenly repartitioned thorough thickness of the core. To predict both reduction and enhancement of stiffness in small scales, a nonlocal parameter and a strain gradient parameter is used for analysis. The governing equations are derived using the principle of virtual works based on sinusoidal shear and normal deformation theory. The small size effect is obtained exploiting Eringen’s nonlocal elasticity theory. The influences of the porosity coefficient, temperature parameters, electric/magnetic potential, boundary conditions (simply supported and clamped) and parameters of foundation on bending, electrical, and magnetic behaviors of the sandwich nanoplate are presented and discussed.

中文翻译：

---

层状纳米板的 3-D 磁电热分析，包括多孔核纳米板和压磁面板

在本文中，基于考虑厚度拉伸效应的非局部应变梯度理论，研究了具有多孔渐变核和两个压磁面板的三层纳米板的三维尺寸相关热分析。位于弹性基础上的夹心纳米板和面层暴露于电/磁势。孔隙率是均匀和不均匀地重新分配的核心厚度。为了在小尺度上预测刚度的降低和增强，使用非局部参数和应变梯度参数进行分析。利用基于正弦剪切和法向变形理论的虚功原理推导出控制方程。小尺寸效应是利用 Eringen 的非局部弹性理论获得的。孔隙度系数的影响，