<abstract xml:lang="en" xmlns="http://www.w3.org/1999/xhtml"><p>On the basis of modified Hooke's law for multiaxial stress in viscoelastic solids, threedimensional constitutive equations for strains have been derived. It is shown that after application or removal of triaxial static load, normal and shear strain components vary in course of time proportionally to each other and that in-phase stress components produce in-phase strain components. Harmonic out-of-phase stress as well as multiaxial periodic and stationary random stresses are also considered. The matrix of dynamical flexibility of viscoelastic materials is determined which depends on three material constants (Young modulus, Poisson's ratio and coefficient of viscous damping of normal strain) and load circular frequency.</p></abstract>

On the basis of modified Hooke's law for multiaxial stress in viscoelastic solids, threedimensional constitutive equations for strains have been derived. It is shown that after application or removal of triaxial static load, normal and shear strain components vary in course of time proportionally to each other and that in-phase stress components produce in-phase strain components. Harmonic out-of-phase stress as well as multiaxial periodic and stationary random stresses are also considered. The matrix of dynamical flexibility of viscoelastic materials is determined which depends on three material constants (Young modulus, Poisson's ratio and coefficient of viscous damping of normal strain) and load circular frequency.

On the behaviour of viscoelastic solids under multiaxial loads

Naval Academy of Gdynia, Gdańsk University of Technology

Polish Maritime Research

{"article-title":"On the behaviour of viscoelastic solids under multiaxial loads"}

On the basis of modified Hooke's law for multiaxial stress in viscoelastic solids, threedimensional constitutive equations for strains have been derived. It is...

On the behaviour of viscoelastic solids under multiaxial loads

Published Online: Nov 18, 2008

Page range: 12 - 17

DOI: https://doi.org/10.2478/v10012-007-0078-x

Keywords
viscoelastic material, multiaxial stress, constitutive equations, static load, vibratory load

This content is open access.

On the behaviour of viscoelastic solids under multiaxial loads

Published Online: Nov 18, 2008

Page range: 12 - 17

DOI: https://doi.org/10.2478/v10012-007-0078-x

Keywordsviscoelastic material, multiaxial stress, constitutive equations, static load, vibratory load

This content is open access.

Keywords
viscoelastic material, multiaxial stress, constitutive equations, static load, vibratory load