A formulation of elasticity and viscoelasticity for fibre-reinforced material at small and finite strains
type: Item
instance of: scholarly article
title: A formulation of elasticity and viscoelasticity for fibre-reinforced material at small and finite strains
zbMATH Open document ID: 0994.74016
DOI: 10.1016/S0045-7825(99)00261-3
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2002-10-07T00:00:00Z
review text: The author presents a formulation of elasticity and viscoelasticity for fibre-reinforced material at small and finite strains. The model is a unidirectional fiber-reinforced composite material. From the material point of view, such a material can be treated as a transversally isotropic elastic or viscoelastic material depending on the behavior of reinforcing fibers. The author studies the constitutive equations of linear and nonlinear transversally isotropic elastic or viscoelastic materials by collecting certain information from the literature. Then, for linear constitutive relations, the author determines material constants of certain composites existing in industrial applications. The paper is well documented and may be useful for those researchers working in the area of fiber-reinforced composite materials.
reviewed by: Hilmi Demiray
Mathematics Subject Classification ID: 74E30
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74B99
Mathematics Subject Classification ID: 74D99
zbMATH DE Number: 1488451
zbMATH Keywords: finite strains
zbMATH Keywords: small strains
zbMATH Keywords: transversally isotropic material
zbMATH Keywords: elasticity
zbMATH Keywords: viscoelasticity
zbMATH Keywords: unidirectional fiber-reinforced composite material
zbMATH Keywords: constitutive equations
author: Michael Kaliske
MaRDI profile type: Publication
cites work: Mullins' effect and the strain amplitude dependence of the storage modulus
cites work: Formulation and implementation of three-dimensional viscoelasticity at small and finite strains
cites work: Q4692333
cites work: A material point time integration procedure for anisotropic, thermorheologically simple, viscoelastic solids
cites work: Time-Temperature Dependence of Linear Viscoelastic Behavior
cites work: Q4083079
cites work: On a fully three-dimensional finite-strain viscoelastic damage model: Formulation and computational aspects
cites work: Quasi-incompressible finite elasticity in principal stretches. Continuum basis and numerical algorithms
cites work: Continuum theory of the mechanics of fibre-reinforced composites. (Lectures given at the International Centre for Mechanical Sciences in Udine, Italy, July 1981)
cites work: Three-dimensional incompressible viscoelasticity in large strains: Formulation and numerical approximation
cites work: Thermomechanical analysis of viscoelastic solids
cites work: Q4827464
cites work: Finite element implementation of incompressible, transversely isotropic hyperelasticity
cites work: Dynamic finite element analysis of viscoelastic composite plates in the time domain
cites work: A THREE-DIMENSIONAL FINITE ELEMENT FORMULATION FOR THERMOVISCOELASTIC ORTHOTROPIC MEDIA
cites work: Computational inelasticity
full work available at URL: s0045-7825(99)00261-3
OpenAlex ID: W2076880397
description: scientific article; zbMATH DE number 1488451