Hybrid Fundamental-Solution-Based FEM for Piezoelectric Materials
- Authors: Changyong Cao1, Qing Hua Qin2
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View Affiliations Hide AffiliationsAffiliations: 1 Laboratory for Soft Machines & Electronics, Departments of Mechanical Engineering, Electrical and Computer Engineering, Michigan State University, East Lansing, MI 48824, United States 2 Department of Engineering, Shenzhen MSU-BIT University, Shenzhen, Guangdong 518172, China
- Source: Trefftz and Fundamental Solution-Based Finite Element Methods , pp 312-337
- Publication Date: September 2021
- Language: English
Hybrid Fundamental-Solution-Based FEM for Piezoelectric Materials, Page 1 of 1
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This chapter deals with the hybrid fundamental-solution-based finite element method (HFS-FEM) for modeling piezoelectric materials. The linear piezoelectric theory is reviewed and applied in deriving the corresponding HFS-FEM. A modified variational functional is proposed and discussed for the new model. The assumed intra-element displacement fields are presented to satisfy a priori the governing equations of the problem using a linear combination of the fundamental solutions at a number of source points located outside the element domain. To ensure the continuity of fields over interelement boundaries, conventional shape functions are employed to construct the independent element frame displacement fields defined over the element boundary.
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