Second-order two-scale computational method for damped dynamic thermo-mechanical problems of quasi-periodic composite materials

DOI10.1016/j.cam.2018.05.009OpenAlexW2806763115WikidataQ129754004 ScholiaQ129754004MaRDI QIDQ1643877

Hao Dong, Zihao Yang, Jun-Zhi Cui, Yu-Feng Nie

Publication date: 20 June 2018

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2018.05.009

zbMATH Keywords

convergence resultSOTS numerical algorithmdamped dynamic thermo-mechanical problemsquasi-periodic composite materials

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Thermal effects in solid mechanics (74F05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Homogenization in equilibrium problems of solid mechanics (74Q05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (4)

Multi-scale computational method for nonlinear dynamic thermo-mechanical problems of composite materials with temperature-dependent properties ⋮ Multi-scale computational method for dynamic thermo-mechanical performance of heterogeneous shell structures with orthogonal periodic configurations ⋮ Multiscale computational method for dynamic thermo-mechanical problems of composite structures with diverse periodic configurations in different subdomains ⋮ Computationally efficient higher-order three-scale method for nonlocal gradient elasticity problems of heterogeneous structures with multiple spatial scales

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Multi-scale method for the quasi-periodic structures of composite materials
• Multiscale asymptotic expansions and numerical algorithms for the wave equations of second order with rapidly oscillating coefficients
• Asymptotic analysis for a weakly damped wave equation with application to a problem arising in elasticity
• Solution of quasi-periodic fracture problems by the representative cell method
• Asymptotic expansions and numerical algorithms of eigenvalues and eigenfunctions of the Dirichlet problem for second order elliptic equations in perforated domains
• Chaotic and bifurcation dynamics for a simply supported rectangular plate of the thermo-mechanical coupling in large deflection.
• Chaotic [motion and bifurcation for a simply-supported thermo-mechanical coupling circular plate with variable thickness]
• Deterministic homogenization of weakly damped nonlinear hyperbolic-parabolic equations
• Chaotic and bifurcation dynamic behavior of a simply supported rectangular orthotropic plate with thermo-mechanical coupling
• Multiscale asymptotic expansion and finite element methods for the mixed boundary value problems of second order elliptic equation in perforated domains
• Comparison of Four Multiscale Methods for EllipticProblems
• On the Homogenization of a Damped Wave Equation
• Multiscale Computation and Convergence for Coupled Thermoelastic System in Composite Materials
• Finite Elemente

This page was built for publication: Second-order two-scale computational method for damped dynamic thermo-mechanical problems of quasi-periodic composite materials