A meshfree formulation for large deformation analysis of flexoelectric structures accounting for the surface effects

DOI10.1016/j.enganabound.2020.07.021zbMath1464.74425arXiv1911.06553OpenAlexW3088912941MaRDI QIDQ2209389

Xiaoying Zhuang, S. S. Nanthakumar, Timon Rabczuk

Publication date: 31 October 2020

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.06553

zbMATH Keywords

geometric nonlinearitysurface effectsmeshfree methodnonlinear flexoelectricity

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Electromagnetic effects in solid mechanics (74F15) Numerical and other methods in solid mechanics (74S99) Numerical radial basis function approximation (65D12)

Related Items (6)

Computational Modelling of Flexoelectricity: State-of-the-art and Challenges ⋮ Size dependent torsional electro-mechanical analysis of flexoelectric micro/nanotubes ⋮ A mixed finite element method for large deformation of flexoelectric materials ⋮ Weak enforcement of interface continuity and generalized periodicity in high‐order electromechanical problems ⋮ Conservation and accuracy studies of the LESCM for incompressible fluids ⋮ Analytical and meshless numerical approaches to unified gradient elasticity theory

Cites Work

• A theory of flexoelectricity with surface effect for elastic dielectrics
• On the possibility of piezoelectric nanocomposites without using piezoelectric materials
• Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
• A level-set based IGA formulation for topology optimization of flexoelectric materials
• A numerical framework for modeling flexoelectricity and Maxwell stress in soft dielectrics at finite strains
• A novel three-variable shear deformation plate formulation: theory and isogeometric implementation
• Surface effects on shape and topology optimization of nanostructures
• An efficient computational approach for size-dependent analysis of functionally graded nanoplates
• An extended finite element/level set method to study surface effects on the mechanical behavior and properties of nanomaterials
• Exact imposition of essential boundary condition and material interface continuity in Galerkin‐based meshless methods
• Mixed finite-element formulations in piezoelectricity and flexoelectricity

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