Volume 10, Issue 1
The Static Solution for the Layered Piezoelectric Bounded Domain with Side Face Load by the Modified SBFEM

Shan Lu, Jun Liu, Gao Lin, Zihua Zhang & Pengchong Zhang

Adv. Appl. Math. Mech., 10 (2018), pp. 209-241.

Published online: 2018-10

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  • Abstract

The static response of two-dimensional horizontal layered piezoelectric bounded domain with side face load was investigated. In this paper, the modified scaled boundary finite element method (SBFEM) is provided as an effective semi analytical methodology. The method is used to solve the static problem for the layered piezoelectric bounded domain. The scaling line definition extends the SBFEM to be more suitable for analyzing the multilayered piezoelectric bounded domain. It avoids the limitations of original SBFEM in modeling the horizontal layered bounded domain. The modified SBFEM governing equation with piezoelectric medium is derived by introducing Duality variable in the Hamilton system. This derivation technology makes the progress be concise. The novel displacement and electric governing equations of the modified SBFEM is given together by the first time. The node forces can be expressed as power exponent function with radial coordinate by introducing the auxiliary variable and using the eigenvalue decomposition. The novel modified SBFEM solution of layered bounded domain with piezoelectric medium is solved. The new power expansion function of layered piezoelectric medium with side face load is proposed. This technology significantly extends the application range of modified SBFEM. The novel treatment of side face load for the layered piezoelectric bounded domain is proposed. Numerical studies are conducted to demonstrate the accuracy of proposed technique in handling with the static problem of layered bounded domain with piezoelectric medium for side face load. The influence of the side face load type and depth are discussed in detail.

  • Keywords

Modified scaled boundary finite element method, piezoelectric medium, side face load, layered bounded domain.

  • AMS Subject Headings

60-08

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAMM-10-209, author = {}, title = {The Static Solution for the Layered Piezoelectric Bounded Domain with Side Face Load by the Modified SBFEM}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2018}, volume = {10}, number = {1}, pages = {209--241}, abstract = {

The static response of two-dimensional horizontal layered piezoelectric bounded domain with side face load was investigated. In this paper, the modified scaled boundary finite element method (SBFEM) is provided as an effective semi analytical methodology. The method is used to solve the static problem for the layered piezoelectric bounded domain. The scaling line definition extends the SBFEM to be more suitable for analyzing the multilayered piezoelectric bounded domain. It avoids the limitations of original SBFEM in modeling the horizontal layered bounded domain. The modified SBFEM governing equation with piezoelectric medium is derived by introducing Duality variable in the Hamilton system. This derivation technology makes the progress be concise. The novel displacement and electric governing equations of the modified SBFEM is given together by the first time. The node forces can be expressed as power exponent function with radial coordinate by introducing the auxiliary variable and using the eigenvalue decomposition. The novel modified SBFEM solution of layered bounded domain with piezoelectric medium is solved. The new power expansion function of layered piezoelectric medium with side face load is proposed. This technology significantly extends the application range of modified SBFEM. The novel treatment of side face load for the layered piezoelectric bounded domain is proposed. Numerical studies are conducted to demonstrate the accuracy of proposed technique in handling with the static problem of layered bounded domain with piezoelectric medium for side face load. The influence of the side face load type and depth are discussed in detail.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.OA-2016-0063}, url = {http://global-sci.org/intro/article_detail/aamm/10508.html} }
TY - JOUR T1 - The Static Solution for the Layered Piezoelectric Bounded Domain with Side Face Load by the Modified SBFEM JO - Advances in Applied Mathematics and Mechanics VL - 1 SP - 209 EP - 241 PY - 2018 DA - 2018/10 SN - 10 DO - http://dor.org/10.4208/aamm.OA-2016-0063 UR - https://global-sci.org/intro/aamm/10508.html KW - Modified scaled boundary finite element method, piezoelectric medium, side face load, layered bounded domain. AB -

The static response of two-dimensional horizontal layered piezoelectric bounded domain with side face load was investigated. In this paper, the modified scaled boundary finite element method (SBFEM) is provided as an effective semi analytical methodology. The method is used to solve the static problem for the layered piezoelectric bounded domain. The scaling line definition extends the SBFEM to be more suitable for analyzing the multilayered piezoelectric bounded domain. It avoids the limitations of original SBFEM in modeling the horizontal layered bounded domain. The modified SBFEM governing equation with piezoelectric medium is derived by introducing Duality variable in the Hamilton system. This derivation technology makes the progress be concise. The novel displacement and electric governing equations of the modified SBFEM is given together by the first time. The node forces can be expressed as power exponent function with radial coordinate by introducing the auxiliary variable and using the eigenvalue decomposition. The novel modified SBFEM solution of layered bounded domain with piezoelectric medium is solved. The new power expansion function of layered piezoelectric medium with side face load is proposed. This technology significantly extends the application range of modified SBFEM. The novel treatment of side face load for the layered piezoelectric bounded domain is proposed. Numerical studies are conducted to demonstrate the accuracy of proposed technique in handling with the static problem of layered bounded domain with piezoelectric medium for side face load. The influence of the side face load type and depth are discussed in detail.

Shan Lu, Jun Liu, Gao Lin, Zihua Zhang & Pengchong Zhang. (2020). The Static Solution for the Layered Piezoelectric Bounded Domain with Side Face Load by the Modified SBFEM. Advances in Applied Mathematics and Mechanics. 10 (1). 209-241. doi:10.4208/aamm.OA-2016-0063
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