Chapter 2
Literature Review
Abstract This chapter gives an overview of modeling and simulation techniques for
smart structures. First, the chapter starts with various through thickness hypotheses
for beam, plate and shell structures. Later, the development history of geometrically
nonlinear theories in composite thin-walled structures are discussed, which is followed by the implementation of those nonlinear shell theories in smart structures.
For the case of smart structures under strong electric fields, electroelastic materially nonlinear modeling methods are presented. In order to give a deep understanding of the multi-physics coupled phenomenon, the modeling techniques for many
recently developed types of smart structures are presented, including functionally
graded smart structures, electro-thermo-mechanically coupled structures, magnetoelectro-elastic composites, and macro-fiber composites. Finally, a literature survey
on vibration control of piezoelectric structures is discussed for the applications of
vibration and noise reduction.
2.1 Plate/Shell Hypotheses and Applications to Linear
Analysis
Smart structures are usually formed as beam, plate and shell structures with integrated smart materials. Solid elements can be employed directly for finite element
analysis of smart structures. Since there is no additional assumption on the geometry,
a relatively accurate result can be obtained. However, solid elements have large number of degrees of freedom, resulting in high computational costs. Many researchers
implemented solid elements into linear FE analysis of smart structures, e.g. Tzou
and Tseng [1], Ha et al. [2], Dube et al. [3], Kapuria and Dube [4], Ray et al. [5],
He [6], Sze et al. [7], Sze and Yao [8, 9], Kapuria and Kumari [10] among many
others. Additionally, Yi et al. [11], Klinkel and Wagner [12, 13] developed geometrically nonlinear FE models using solid elements for static and dynamic analysis of
piezoelectric smart structures.
© The Editor(s) (if applicable) and The Author(s), under exclusive license
to Springer Nature Singapore Pte Ltd. 2021
S.-Q. Zhang, Nonlinear Analysis of Thin-Walled Smart Structures, Springer Tracts
in Mechanical Engineering, https://doi.org/10.1007/978-981-15-9857-9_2
7
Literature Review
Abstract This chapter gives an overview of modeling and simulation techniques for
smart structures. First, the chapter starts with various through thickness hypotheses
for beam, plate and shell structures. Later, the development history of geometrically
nonlinear theories in composite thin-walled structures are discussed, which is followed by the implementation of those nonlinear shell theories in smart structures.
For the case of smart structures under strong electric fields, electroelastic materially nonlinear modeling methods are presented. In order to give a deep understanding of the multi-physics coupled phenomenon, the modeling techniques for many
recently developed types of smart structures are presented, including functionally
graded smart structures, electro-thermo-mechanically coupled structures, magnetoelectro-elastic composites, and macro-fiber composites. Finally, a literature survey
on vibration control of piezoelectric structures is discussed for the applications of
vibration and noise reduction.
2.1 Plate/Shell Hypotheses and Applications to Linear
Analysis
Smart structures are usually formed as beam, plate and shell structures with integrated smart materials. Solid elements can be employed directly for finite element
analysis of smart structures. Since there is no additional assumption on the geometry,
a relatively accurate result can be obtained. However, solid elements have large number of degrees of freedom, resulting in high computational costs. Many researchers
implemented solid elements into linear FE analysis of smart structures, e.g. Tzou
and Tseng [1], Ha et al. [2], Dube et al. [3], Kapuria and Dube [4], Ray et al. [5],
He [6], Sze et al. [7], Sze and Yao [8, 9], Kapuria and Kumari [10] among many
others. Additionally, Yi et al. [11], Klinkel and Wagner [12, 13] developed geometrically nonlinear FE models using solid elements for static and dynamic analysis of
piezoelectric smart structures.
© The Editor(s) (if applicable) and The Author(s), under exclusive license
to Springer Nature Singapore Pte Ltd. 2021
S.-Q. Zhang, Nonlinear Analysis of Thin-Walled Smart Structures, Springer Tracts
in Mechanical Engineering, https://doi.org/10.1007/978-981-15-9857-9_2
7