TY - JOUR

T1 - Geometrically induced stress singularities in a piezoelectric body of revolution

AU - Huang, Chiung-Shiann

AU - Hu, C. N.

PY - 2011/9/1

Y1 - 2011/9/1

N2 - An eigenfunction expansion approach is combined with a power series solution technique to establish the asymptotic solutions for geometrically induced electroelastic singularities in a piezoelectric body of revolution, with its direction of polarization not parallel to the axis of revolution. The asymptotic solutions are obtained by directly solving the three-dimensional equilibrium and Maxwell's equations in terms of displacement components and electric potential. When the direction of polarization is not along the axis of revolution, the assumption of axisymmetric deformation that is often made in the published literature is not valid, and the direction of polarization and the circular coordinate variable can substantially affect the singularities. The numerical results related to singularity orders are shown in graphical form for bodies of revolution that comprise a single material (PZT-4 or PZT-5H) or bonded piezo/piezo (PZT-4/PZT-5H) or piezo/isotropic elastic (PZT-4/Al or PZT-5H/Al) materials. This is the first study to present results for the direction of polarization not along the axis of revolution.

AB - An eigenfunction expansion approach is combined with a power series solution technique to establish the asymptotic solutions for geometrically induced electroelastic singularities in a piezoelectric body of revolution, with its direction of polarization not parallel to the axis of revolution. The asymptotic solutions are obtained by directly solving the three-dimensional equilibrium and Maxwell's equations in terms of displacement components and electric potential. When the direction of polarization is not along the axis of revolution, the assumption of axisymmetric deformation that is often made in the published literature is not valid, and the direction of polarization and the circular coordinate variable can substantially affect the singularities. The numerical results related to singularity orders are shown in graphical form for bodies of revolution that comprise a single material (PZT-4 or PZT-5H) or bonded piezo/piezo (PZT-4/PZT-5H) or piezo/isotropic elastic (PZT-4/Al or PZT-5H/Al) materials. This is the first study to present results for the direction of polarization not along the axis of revolution.

KW - Asymptotic solutions

KW - Eigenfunction expansion approach

KW - Electroelastic singularities

KW - Piezoelectric bodies of revolution

UR - http://www.scopus.com/inward/record.url?scp=80955180583&partnerID=8YFLogxK

U2 - 10.1016/j.compstruc.2011.04.010

DO - 10.1016/j.compstruc.2011.04.010

M3 - Article

AN - SCOPUS:80955180583

SN - 0045-7949

VL - 89

SP - 1681

EP - 1696

JO - Computers and Structures

JF - Computers and Structures

IS - 17-18

ER -