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Updated: Jul 4, 2026

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Studying Large Amplitude Oscillatory Shear Response of Soft Materials
Published on: April 25, 2019
A nonlinear theory for electroelastic shells with relatively large in-plane shear deformation and its implications in
Summary
Nonlinear vibrations in electroelastic shells are modeled using new equations. Torsional vibrations in piezoelectric shells couple with axial and circumferential extensions, highlighting the need for nonlinearity studies.
Area of Science:
- Continuum Mechanics
- Solid Mechanics
- Electroelasticity
Background:
- Derivation of nonlinear two-dimensional equations for thin electroelastic shells from 3D nonlinear electroelasticity.
- Inclusion of moderately large shear deformation in the tangent plane.
Discussion:
- Application of derived equations to study nonlinear torsional vibration of a circular cylindrical piezoelectric shell.
- Analysis of the coupling between torsion, axial extension, and circumferential extension.
Key Insights:
- Nonlinear coupling between torsional, axial, and circumferential vibrations is demonstrated.
- The study reveals complex interactions within the electroelastic shell under dynamic loading.
Outlook:
- Further investigation into nonlinear mode coupling in electroelastic shells is recommended.
- Potential for improved design and analysis of piezoelectric devices and structures.
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