Multi-patch isogeometric analysis for smart plates with distributed piezoelectric patches

IF 5.7 1区工程技术 Q1 ENGINEERING, CIVIL

Thin-Walled Structures Pub Date : 2025-01-15 DOI:10.1016/j.tws.2025.112937

Tao Liu , Xiangrong Sun , Jinde Zheng , Lu Wang , Qingyun Liu , Tinh Quoc Bui

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引用次数: 0

Abstract

The previous isogeometric analysis (IGA) on piezoelectric smart structures mainly focused on plates and shells that were fully covered with piezoelectric materials. However, the piezoelectric materials in smart structures commonly exist in the form of patches that are locally attached to the substrate structures, in practical engineering applications. Thus, this paper aims to apply IGA to analyze the electro-mechanical coupled behaviors of distributed piezoelectric smart plates. The Nitsche-based non-conforming multi-patch technology is adopted to deal with the precision limitations associated with single-patch IGA for distributed piezoelectric smart plates. In accordance with first-order shear deformation theory (FSDT) and NURBS-based IGA, the non-conforming multi-patch governing equations for piezoelectric smart plates are then derived. In particular, the Nitsche’s method is adopted for addressing the non-conforming meshes and ensuring the continuity of the field variables on the coupling boundary between two adjacent patches. The developed methodology is further extended to analyze the fully-covered and distributed piezoelectric smart plates. Meanwhile, to enhance the general applicability of the method, the piezoelectric smart plates integrated with traditional piezoelectric ceramics and macro-fiber composite (MFC) materials are designed in numerical examples. Finally, comprehensive assessments for natural frequency and static response of piezoelectric smart plates are carried out and then compared with the existing reference solutions or the results calculated by ABAQUS software to demonstrate the effectiveness and accuracy of the developed method. These numerical examples validate that the proposed method is capable of addressing the limited accuracy of single-patch IGA in distributed piezoelectric smart structures.

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来源期刊

Thin-Walled Structures 工程技术-工程：土木

CiteScore

9.60

自引率

20.30%

发文量

801

审稿时长

66 days

期刊介绍： Thin-walled structures comprises an important and growing proportion of engineering construction with areas of application becoming increasingly diverse, ranging from aircraft, bridges, ships and oil rigs to storage vessels, industrial buildings and warehouses. Many factors, including cost and weight economy, new materials and processes and the growth of powerful methods of analysis have contributed to this growth, and led to the need for a journal which concentrates specifically on structures in which problems arise due to the thinness of the walls. This field includes cold– formed sections, plate and shell structures, reinforced plastics structures and aluminium structures, and is of importance in many branches of engineering. The primary criterion for consideration of papers in Thin–Walled Structures is that they must be concerned with thin–walled structures or the basic problems inherent in thin–walled structures. Provided this criterion is satisfied no restriction is placed on the type of construction, material or field of application. Papers on theory, experiment, design, etc., are published and it is expected that many papers will contain aspects of all three.