Asymptotic splitting in the three-dimensional problem of elasticity for non-homogeneous piezoelectric plates
From MaRDI portal
Publication:615735
DOI10.1016/j.ijsolstr.2010.09.001zbMath1202.74106OpenAlexW1981684164WikidataQ42728768 ScholiaQ42728768MaRDI QIDQ615735
Alexey Kuzin, Michael Krommer, Yu. M. Vetyukov
Publication date: 6 January 2011
Published in: International Journal of Solids and Structures (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.ijsolstr.2010.09.001
Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Plates (74K20) Inhomogeneity in solid mechanics (74E05) Electromagnetic effects in solid mechanics (74F15)
Related Items (14)
Hybrid asymptotic-direct approach to the problem of finite vibrations of a curved layered strip ⋮ Long-wave vibrations and long waves in an anisotropic plate ⋮ Long-wave oscillations and waves in anisotropic beams ⋮ Exact 3D Saint Venant type solutions for piezoelectric \(d_{15}\) shear-mode bi-morph and sandwich torsion actuation and sensing problems ⋮ Generalized Timoshenko‐Reissner models for beams and plates, strongly heterogeneous in the thickness direction ⋮ Two-dimensional linear model of elastic shell accounting for general anisotropy of material ⋮ An elastic plate bending equation of second-order accuracy ⋮ Hybrid asymptotic-direct approach to finite deformations of electromechanically coupled piezoelectric shells ⋮ Finite element modeling of Kirchhoff‐Love shells as smooth material surfaces ⋮ Surface effects on free vibration of piezoelectric functionally graded nanobeams using nonlocal elasticity ⋮ Two-dimensional linear models of multilayered anisotropic plates ⋮ Two-dimensional model of second-order accuracy for an anisotropic plate ⋮ Some Two-dimensional Non-classical Models of Anisotropic Plates ⋮ Geometrically exact shell theory from a hierarchical perspective
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonlinear theory of hard-skin plates and shells
- Boley's method for two-dimensional thermoelastic problems applied to piezoelastic structures
- Adaptive sensing of kinematic entities in the vicinity of a time-dependent geometrically nonlinear pre-deformed state
- Finite deformation of thin shells in the context of analytical mechanics of material surfaces
- A generalized higher-order theory for multi-layered, shear-deformable composite plates
- The theory of thin-walled rods of open profile as a result of asymptotic splitting in the problem of deformation of a noncircular cylindrical shell
- Variational principles of continuum mechanics. II: Applications
- Plate-like smart structures: reduced models and numerical simulations
- A three-dimensional analysis of anisotropic inhomogeneous and laminated plates
- Algorithms of the asymptotic construction of linear two-dimensional thin shell theory and the St.-Venant principle
- Three-dimensional asymptotic approach to inhomogeneous and laminated piezoelectric plates
- An asymptotic theory for nonlinear analysis of multilayered anisotropic plates
- Saint-Venant end effects in multilayered piezoelectric laminates.
- The behavior of shells composed of isotropic and composite materials
- Edge layers in thin elastic plates
- A Reissner-Mindlin-type plate theory including the direct piezoelectric and the pyroelectric effect
- The derivation of the equations of moderately thick plates by the method of successive approximations
- Modelling of finite piezoelectric patches: comparing an approximate power series expansion theory with exact theory
- A higher-order asymptotic analysis for orthotropic plates in stress edge conditions
- Three-Dimensional Solutions of Smart Functionally Graded Plates
- AN ASYMPTOTIC THEORY OF THIN PIEZOELECTRIC PLATES
- Boundary layer and its interaction with the interior state of stress of an elastic thin shell
- A new asymptotic model for a composite piezoelastic plate.
This page was built for publication: Asymptotic splitting in the three-dimensional problem of elasticity for non-homogeneous piezoelectric plates
