Development of Finite Element Procedure for Smart Material Devices Focused on Extensive Variables

对于使用功能材料的传感器或致动器设备，表现出机电或磁机械耦合，我们开发了一种数值模拟程序，不仅可以预测它们的物理行为，还可以利用现有的数值程序进行工业设计。在发展过程中，我们用热力学把电磁学统一到了传统弹性力学的框架内，并使它在数学上具有一致性和合理性。本论文的主要工作是：（1）非线性压电材料弹塑性本构关系的数值研究;（2）磁致伸缩致动器结构优化方法的开发。

For sensor or actuator devices using functional materials, which exhibit elect-mechanical or magneto-mechanical coupling, we have developed a numerical simulation procedure not only to predict their physical behaviors but also to utilize the present numerical procedure for their designs in industry. In the development we haveunified electromagnetics within the framework of conventional elasticity in terms of thermo mechanics, and have also made it mathematically consistent and rational. Our main topics are(1) numerical study on elasto-plastic-type constitutive laws for nonlinear piezoelectricity and(2) development of a structural optimization procedure for magneto-strictive actuators.