Uniqueness theorem, theorem of reciprocity, and eigenvalue problems in linear theory of porous piezoelectricity
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Publication:536553
DOI10.1007/s10483-011-1432-8zbMath1213.74119OpenAlexW2032637764MaRDI QIDQ536553
Vishakha Gupta, Anil K. Vashishth
Publication date: 19 May 2011
Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10483-011-1432-8
Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Uniqueness of solutions of dynamical problems in solid mechanics (74H25)
Related Items (3)
Impact of interfacial imperfections on the reflection and transmission phenomenon of plane waves in a porous-piezoelectric model ⋮ Variational principle, uniqueness and reciprocity theorems in porous magneto-piezothermoelastic medium ⋮ Generalized Bleustein-Gulyaev type waves in layered porous piezoceramic structure
Cites Work
- Steady-state vibrations for the state of generalized plane strain in a linear piezoelectric medium
- Some theorems in the theory of microstretch thermopiezoelectricity
- Uniqueness theorem and Hamilton's principle in linear micropolar thermopiezoelectric/piezomagnetic continuum with two relaxation times
- Thermodynamic theory for porous piezoelectric materials
- Free vibrations of a piezoelectric body
- Dynamics of linear piezoelectric rods
- Flexural vibration in a finite piezoelectric circular cylinder of crystal class 6mm
- Uniqueness theorem in the linear theory of piezoelectric micropolar thermoelasticity
- Vibrations of thin piezoelectric flexural shells: Two-dimensional approximation
- An eigen expression for piezoelectrically stiffened elastic and dielectric constants based on the static theory
- Wave propagation in transversely isotropic porous piezoelectric materials
- Steady-state vibrations of an unbounded linear piezoelectric medium
- High frequency vibrations of piezoelectric crystal plates
- Reciprocity, uniqueness and minimum principles in the linear theory of piezoelectricity
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