Finite strains of viscoelastic muscle tissue
type: Item
instance of: scholarly article
title: Finite strains of viscoelastic muscle tissue
zbMATH Open document ID: 0661.73025
DOI: 10.1016/0021-8928(87)90111-0
author: V. I. Kondaurov
author: L. V. Nikitin
published in: Journal of Applied Mathematics and Mechanics
publication date: 1987-01-01T00:00:00Z
review text: The mechanical behaviour of muscle tissue whose characteristic feature is the capacity to contract under the effect of factors of non-mechanical nature has been investigated. This work is the development of the phenomenological model of biologically active behaviour of a material under the joint action of mechanical forces and a signal of electrochemical nature in the finite strain case. The authors used a relaxation type of relationship for both viscous and biological strain components. As a result, the current state of the muscle is determined by the prehistory of strain and stimulation. The authors then studied the isothermal approximation for a one component transversally isotropic homogeneous medium. This work might be very useful for those researchers working on the mechanical modelling of muscle contractions.
Mathematics Subject Classification ID: 74B20
Mathematics Subject Classification ID: 74L15
Mathematics Subject Classification ID: 74D05
Mathematics Subject Classification ID: 74D10
zbMATH DE Number: 4081047
zbMATH Keywords: contraction
zbMATH Keywords: stimulation
zbMATH Keywords: isothermal approximation
zbMATH Keywords: one component transversally isotropic homogeneous medium
reviewed by: Hilmi Demiray
MaRDI profile type: Publication
full work available at URL: 0021-8928(87)90111-0
OpenAlex ID: W2000533386
cites work: Wave effects in collapsible biovessels
cites work: Q4110663
cites work: The boundary value problem of the theory of viscoelastic plasticity of a growing body subject to aging
cites work: Q4743816
cites work: Relaxation-type equations for viscoelastic media with finite deformations
cites work: Wave motions of a liquid in tubes of viscoelastic material. Waves of small amplitude
description: scientific article; zbMATH DE number 4081047