纤维压电材料的计算均匀化
Computational homogenization of fibrous piezoelectric materials
摘要：
由聚合物材料制成的柔性压电器件广泛用于微机电系统和纳米机电系统。特别地，许多最近的应用涉及能量收集。由于计算建模的重要性，以了解微观几何形状和本构变量施加的宏观行为的影响，在这里开发的数值方法的多尺度和多物理场建模的薄压电片的聚合物纳米纤维的排列阵列，通过静电纺丝制造。在微观尺度上，代表性的体积元素包括在压电聚合物纳米纤维，假设具有压电弹性行为，并受到机电接触约束。后者被纳入虚功方程制定适当的电，机械和耦合电位和约束的强制执行，通过使用惩罚方法。从微尺度边值问题的解决方案，一个合适的规模过渡过程导致识别的宏观薄压电壳元的性能。
英文摘要：
Flexible piezoelectric devices made of polymeric materials are widely used for micro- and nano-electro-mechanical systems. In particular, numerous recent applications concern energy harvesting. Due to the importance of computational modeling to understand the influence that microscale geometry and constitutive variables exert on the macroscopic behavior, a numerical approach is developed here for multiscale and multiphysics modeling of thin piezoelectric sheets made of aligned arrays of polymeric nanofibers, manufactured by electrospinning. At the microscale, the representative volume element consists in piezoelectric polymeric nanofibers, assumed to feature a piezoelastic behavior and subjected to electromechanical contact constraints. The latter are incorporated into the virtual work equations by formulating suitable electric, mechanical and coupling potentials and the constraints are enforced by using the penalty method. From the solution of the micro-scale boundary value problem, a suitable scale transition procedure leads to identifying the performance of a macroscopic thin piezoelectric shell element.
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