TY - JOUR
T1 - The Static Solution for the Layered Piezoelectric Bounded Domain with Side Face Load by the Modified SBFEM
AU - Lu , Shan
AU - Liu , Jun
AU - Lin , Gao
AU - Zhang , Zihua
AU - Zhang , Pengchong
JO - Advances in Applied Mathematics and Mechanics
VL - 1
SP - 209
EP - 241
PY - 2018
DA - 2018/10
SN - 10
DO - http://doi.org/10.4208/aamm.OA-2016-0063
UR - https://global-sci.org/intro/article_detail/aamm/10508.html
KW - Modified scaled boundary finite element method, piezoelectric medium, side face load, layered bounded domain.
AB - <p style="text-align: justify;">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 concise. The novel displacement and electric governing equations
of the modified SBFEM are given together for 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 is discussed in detail.</p>