Third-gradient continua: nonstandard equilibrium equations and selection of work conjugate variables
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DOI: 10.1177/10812865221098966
Abstract: This paper outlines the variational derivation of the Lagrangian equilibrium equations for the third-gradient materials, stemming from the minimization of the total potential energy functional, and the selection of suitable dual variables to represent the… read more here.
Keywords: gradient continua; continua nonstandard; work; selection ... See more keywords
A Comparison of Fourier Spectral Iterative Perturbation Method and Finite Element Method in Solving Phase-Field Equilibrium Equations
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DOI: 10.4208/cicp.oa-2016-0114
Abstract: This paper systematically compares the numerical implementation and computational cost between the Fourier spectral iterative perturbation method (FSIPM) and the finite element method (FEM) in solving partial differential equilibrium equations with inhomogeneous material coefficients and… read more here.
Keywords: spectral iterative; fourier spectral; iterative perturbation; equilibrium equations ... See more keywords
Stress finite element models for determining the frequencies of free oscillations
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DOI: 10.5862/mce.67.5
Abstract: Development of calculation methods, allowing determining the lower limits frequencies of free oscillations is actual. Such methods, in combination with the decisions by the method of finite element in displacements, will let to assess the… read more here.
Keywords: finite element; free oscillations; frequencies free; equilibrium equations ... See more keywords