Some theorems about spectrum and finite element approach for eigenvalue problems for elastic bodies with voids

DOI10.1016/j.camwa.2007.01.003zbMath1124.74022OpenAlexW2029874652MaRDI QIDQ2459622

Andrey V. Nasedkin, Gerardo Iovane

Publication date: 7 November 2007

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2007.01.003

zbMATH Keywords

variational principleporous materialCowin-Nunziato model

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite element methods applied to problems in solid mechanics (74S05)

Related Items (4)

Analytical and numerical studies on penalized micro-dilatation (PMD) theory: macro-micro link concept ⋮ On deformation of porous plates ⋮ Modal analysis of piezoelectric bodies with voids. II. Finite element simulation ⋮ Modal analysis of piezoelectric bodies with voids. I. Mathematical approaches

Uses Software

• ANSYS

Cites Work

• Linear elastic materials with voids
• Plane waves in linear elastic materials with voids
• A nonlinear theory of elastic materials with voids
• Some results in the dynamical theory of porous elastic bodies
• Some properties of the natural frequencies of electroelastic bodies of bounded dimensions
• Reflection and transmission of transverse waves at a plane interface between two different porous elastic solid half-spaces
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