A finite element approach for skeletal muscle using a distributed moment model of contraction

A.W.J. Gielen; C.W.J. Oomens; P.H.M. Bovendeerd; M.G.J. Arts; J.D. Janssen

doi:10.1080/10255840008915267

A finite element approach for skeletal muscle using a distributed moment model of contraction

A.W.J. Gielen, C.W.J. Oomens, P.H.M. Bovendeerd, M.G.J. Arts, J.D. Janssen

Research output: Contribution to journal › Article › Academic › peer-review

36 Citations (Scopus)

5 Downloads (Pure)

Abstract

The present paper describes a geometrically and physically nonlinear continuum model to study the mechanical behaviour of passive and active skeletal muscle. The contraction is described with a Huxley type model. A Distributed Moments approach is used to convert the Huxley partial differential equation in a set of ordinary differential equations. An isoparametric brick element is developed to solve the field equations numerically. Special arrangements are made to deal with the combination of highly nonlinear effects and the nearly incompressible behaviour of the muscle. For this a Natural Penalty Mathod(NPM) and an Enhanced Stiffness Method (ESM) are tested. Finally an example of a contracting tibialis anterior muscle of a rat is given. The DM-method proved to be an effective tool in the numerical solution process. The ESM showed the best performance in describing the incompressible behaviour.

Original language	English
Pages (from-to)	231-244
Journal	Computer Methods in Biomechanics and Biomedical Engineering
Volume	3
Issue number	3
DOIs	https://doi.org/10.1080/10255840008915267
Publication status	Published - 2000

Access to Document

10.1080/10255840008915267

Cite this

@article{1997b2009e8a4e34b576cede395f6e0c,

title = "A finite element approach for skeletal muscle using a distributed moment model of contraction",

abstract = "The present paper describes a geometrically and physically nonlinear continuum model to study the mechanical behaviour of passive and active skeletal muscle. The contraction is described with a Huxley type model. A Distributed Moments approach is used to convert the Huxley partial differential equation in a set of ordinary differential equations. An isoparametric brick element is developed to solve the field equations numerically. Special arrangements are made to deal with the combination of highly nonlinear effects and the nearly incompressible behaviour of the muscle. For this a Natural Penalty Mathod(NPM) and an Enhanced Stiffness Method (ESM) are tested. Finally an example of a contracting tibialis anterior muscle of a rat is given. The DM-method proved to be an effective tool in the numerical solution process. The ESM showed the best performance in describing the incompressible behaviour.",

author = "A.W.J. Gielen and C.W.J. Oomens and P.H.M. Bovendeerd and M.G.J. Arts and J.D. Janssen",

year = "2000",

doi = "10.1080/10255840008915267",

language = "English",

volume = "3",

pages = "231--244",

journal = "Computer Methods in Biomechanics and Biomedical Engineering",

issn = "1025-5842",

publisher = "Informa Healthcare",

number = "3",

}

TY - JOUR

T1 - A finite element approach for skeletal muscle using a distributed moment model of contraction

AU - Gielen, A.W.J.

AU - Oomens, C.W.J.

AU - Bovendeerd, P.H.M.

AU - Arts, M.G.J.

AU - Janssen, J.D.

PY - 2000

Y1 - 2000

N2 - The present paper describes a geometrically and physically nonlinear continuum model to study the mechanical behaviour of passive and active skeletal muscle. The contraction is described with a Huxley type model. A Distributed Moments approach is used to convert the Huxley partial differential equation in a set of ordinary differential equations. An isoparametric brick element is developed to solve the field equations numerically. Special arrangements are made to deal with the combination of highly nonlinear effects and the nearly incompressible behaviour of the muscle. For this a Natural Penalty Mathod(NPM) and an Enhanced Stiffness Method (ESM) are tested. Finally an example of a contracting tibialis anterior muscle of a rat is given. The DM-method proved to be an effective tool in the numerical solution process. The ESM showed the best performance in describing the incompressible behaviour.

AB - The present paper describes a geometrically and physically nonlinear continuum model to study the mechanical behaviour of passive and active skeletal muscle. The contraction is described with a Huxley type model. A Distributed Moments approach is used to convert the Huxley partial differential equation in a set of ordinary differential equations. An isoparametric brick element is developed to solve the field equations numerically. Special arrangements are made to deal with the combination of highly nonlinear effects and the nearly incompressible behaviour of the muscle. For this a Natural Penalty Mathod(NPM) and an Enhanced Stiffness Method (ESM) are tested. Finally an example of a contracting tibialis anterior muscle of a rat is given. The DM-method proved to be an effective tool in the numerical solution process. The ESM showed the best performance in describing the incompressible behaviour.

U2 - 10.1080/10255840008915267

DO - 10.1080/10255840008915267

M3 - Article

SN - 1025-5842

VL - 3

SP - 231

EP - 244

JO - Computer Methods in Biomechanics and Biomedical Engineering

JF - Computer Methods in Biomechanics and Biomedical Engineering

IS - 3

ER -

A finite element approach for skeletal muscle using a distributed moment model of contraction

Abstract

Access to Document

Fingerprint

Cite this