Mathematical modelling of physically/geometrically non-linear micro-shells with account of coupling of temperature and deformation fields

DOI10.1016/j.chaos.2017.09.008zbMath1380.74025OpenAlexW2761140303MaRDI QIDQ1694127

Peng Zhang

Publication date: 1 February 2018

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2017.09.008

zbMATH Keywords

finite difference methoda priori estimatesexistence of solutionsLyapunov exponentsRunge-Kutta type methodsFaedo-Galerkin methodcoupled thermoelasticitymicroshells

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Thermal effects in solid mechanics (74F05) Finite difference methods applied to problems in solid mechanics (74S20)

Related Items (4)

Identifying inclusions in a non-uniform thermally conductive plate under external flows and internal heat sources using topological optimization ⋮ Mathematical modeling (Faedo-Galerkin method, solution existence theorem) of nonlinear dynamics for MEMS/NEMS devices elements (micropolar theory) in the rectangular shells form in plane, taking into account the temperature and deformation fields connection ⋮ Mathematical modeling of physically nonlinear 3D beams and plates made of multimodulus materials ⋮ Nonlinear dynamics of flexible meshed cylindrical panels in the white noise's field

Cites Work

• On the contact interaction between two rectangular plates
• Determining Lyapunov exponents from a time series
• The boundary value problems of mathematical physics. Transl. from the Russian by Jack Lohwater
• Picard successive approximation method for solving differential equations arising in fractal heat transfer with local fractional derivative
• A practical method for calculating largest Lyapunov exponents from small data sets
• Nonlinear deformations of spherical panels subjected to transversal load action
• Chaotic dynamics of flexible Euler-Bernoulli beams
• Deterministic Chaos in One-Dimensional Continuous Systems
• Coupled thermo-mechanical analysis of one-layered and multilayered isotropic and composite shells
• Thermoelasticity and Irreversible Thermodynamics
• Dynamic Buckling of Conical Shells with Imperfections
• Fourier, hyperbolic and relativistic heat transfer equations: a comparative analytical study
• Thermo-Dynamics of Plates and Shells
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