软介电复合材料中嵌入梁网络的混合维机电耦合
Mixed-Dimensional Electromechanical Coupling of Embedded Beam Networks in Soft Dielectric Composites
- The University of Texas at Austin（德克萨斯大学奥斯汀分校）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
针对软电活性复合材料三维纤维网络解析计算成本高的问题，提出混合维有限元列式，通过嵌入梁与基体场采样实现双向机电耦合，结合均匀化框架可高效预测结构相关的力电响应。
AI中文摘要：
软电活性复合材料可表现出强烈依赖于结构的力学与电学响应，但在三维中显式解析致密纤维网络的计算成本极高。我们提出了一种混合维有限元列式，其中电活性纤维由嵌入可变形介电基体的几何精确梁表示。与现有电活性梁列式中电势直接定义在梁上不同，本文中的嵌入纤维由周围基体的三维电场驱动。基体场沿梁中心线采样，并直接进入梁的介电焓，无需在梁上引入独立的电势自由度即可实现双向机电耦合。梁与基体的力学行为通过投影砂浆约束耦合，机电问题采用整体求解。我们将该列式作为周期性均匀化框架中的细观模型，用于计算有效应力与电位移。验证研究量化了离散化和场采样的敏感性，随后的结构化与非结构化网络示例表明，无需采用贴合纤维的三维网格即可捕捉依赖于结构的力学与电学响应。
英文摘要：
Soft electroactive composites can exhibit strongly architecture-dependent mechanical and electrical responses, but explicitly resolving dense fiber networks in three dimensions is computationally expensive. We develop a mixed-dimensional finite-element formulation in which electroactive fibers are represented by geometrically exact beams embedded in a deformable dielectric matrix. Unlike existing electroactive beam formulations in which the electric potential is defined directly on the beam, the embedded fibers here are driven by the three-dimensional electric field of the surrounding matrix. The matrix field is sampled along the beam centerlines and enters the beam dielectric enthalpy directly, providing two-way electromechanical coupling without introducing independent electric-potential degrees of freedom on the beams. Beam and matrix mechanics are coupled through projected mortar constraints, and the electromechanical problem is solved monolithically. We use the formulation as the microscale model in a periodic homogenization framework to compute effective stress and electric displacement. Verification studies quantify discretization and field-sampling sensitivity, followed by structured and irregular network examples that demonstrate architecture-dependent mechanical and electrical responses without body-fitted three-dimensional fiber meshes.
