A general and unified theory is formulated to investigate static and time-harmonic field solutions induced by dislocation loops and dislocation arrays in three-dimensional multilayered structures. Each homogeneous plate consists of an orthotropic magneto-electro-elastic material including nonlocal effects. While the nonlocal constitutive relations with multi-phase coupling are treated by means of the original Eringen model using a Helmholtz-type operator, the field expressions are based on the mathematically elegant and computationally powerful Stroh formalism in matrix form, consistently combined with double Fourier series expansions and the dual variable and position technique to propagate the extended solutions among the different layers of the multilayered systems. The time-harmonic dislocation loops are represented by a discontinuity in the prescribed elastic displacement, electric potential, and magnetic potential on arbitrarily-located rectangular and elliptical surfaces in the multilayered structures, while the dislocation arrays are composed of infinitely long, straight and uniformly spaced parallel dislocations with the same local Burgers vectors. The new field solutions are first validated against existing frameworks limited to static and local elasticity theory of these two types of extrinsic and intrinsic dislocations, and subsequently applied to analyze several unexplored effects on the dislocation-induced magneto-electro-elastic fields, namely the material anisotropy, interaction with internal heterophase interfaces, multi-phase coupling, nonlocal core-spreading parameter, finite-valued driving forces, vibration frequency, and stacking sequences. The numerical outcomes indicate that each effect is significant and neglecting any one of them leads to an erroneous prediction on the extrinsic and intrinsic dislocation-induced response, thus providing a suitable route for the design of advanced magneto-electro-elastic fabrication devices for energy harvesting applications.

制定了一个通用和统一的理论来研究由三维多层结构中的位错环和位错阵列引起的静态和时谐场解。每个均质板由包括非局部效应的正交各向异性磁电弹性材料组成。虽然具有多相耦合的非局部本构关系是通过使用亥姆霍兹型算子的原始 Eringen 模型来处理的，但场表达式是基于矩阵形式的数学上优雅且计算强大的 Stroh 形式，始终与双傅里叶级数相结合扩展和双变量和位置技术在多层系统的不同层之间传播扩展的解决方案。时谐位错环由多层结构中任意位置的矩形和椭圆表面上规定的弹性位移、电势和磁势的不连续性表示，而位错阵列由无限长、直线和均匀间隔组成具有相同局部 Burgers 向量的平行位错。新的场解决方案首先针对仅限于这两种外在和内在位错的静态和局部弹性理论的现有框架进行验证，随后应用于分析对位错诱导的磁电弹性场的几种未探索的影响，即材料各向异性，与内部异相界面的相互作用，多相耦合，非局部核心扩展参数，有限值驱动力、振动频率和堆叠序列。数值结果表明，每种效应都是显着的，忽略其中任何一种都会导致对外在和内在位错引起的响应的错误预测，从而为设计用于能量收集的先进磁电弹性制造装置提供了合适的途径应用程序。