A truss element for modelling reversible softening in living tissues

J.J. Muñoz; V. Conte; N. Asadipour; M. Miodownik

doi:10.1016/j.mechrescom.2013.02.003

A truss element for modelling reversible softening in living tissues

J.J. Muñoz
, V. Conte
, N. Asadipour
, M. Miodownik

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

9 Citations (Scopus)

Abstract

We resort to non-linear viscoelasticity to develop a truss element able to model reversible softening in lung epithelial tissues undergoing transient stretch. Such a Maxwell truss element is built by resorting to a three-noded element whose mid-node is kinematically constrained to remain on the line connecting the end-nodes. The whole mechanical system undergoes an additive decomposition of the strains along the truss direction where the total contribution of the mid-node is accounted for by using a null-space projection and static condensation techniques. Assembling of such line-elements in 3D networks allows us to model extended regions of living tissues as well as their anisotropies.

Original language	English
Pages (from-to)	44-49
Number of pages	6
Journal	Mechanics Research Communications
Volume	49
DOIs	https://doi.org/10.1016/j.mechrescom.2013.02.003
Publication status	Published - 15 Mar 2013
Externally published	Yes

Keywords

Maxwell
Null-space
Reversible softening
Truss
Viscoelasticity

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10.1016/j.mechrescom.2013.02.003

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title = "A truss element for modelling reversible softening in living tissues",

abstract = "We resort to non-linear viscoelasticity to develop a truss element able to model reversible softening in lung epithelial tissues undergoing transient stretch. Such a Maxwell truss element is built by resorting to a three-noded element whose mid-node is kinematically constrained to remain on the line connecting the end-nodes. The whole mechanical system undergoes an additive decomposition of the strains along the truss direction where the total contribution of the mid-node is accounted for by using a null-space projection and static condensation techniques. Assembling of such line-elements in 3D networks allows us to model extended regions of living tissues as well as their anisotropies.",

keywords = "Maxwell, Null-space, Reversible softening, Truss, Viscoelasticity",

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AU - Muñoz, J.J.

AU - Conte, V.

AU - Asadipour, N.

AU - Miodownik, M.

PY - 2013/3/15

Y1 - 2013/3/15

N2 - We resort to non-linear viscoelasticity to develop a truss element able to model reversible softening in lung epithelial tissues undergoing transient stretch. Such a Maxwell truss element is built by resorting to a three-noded element whose mid-node is kinematically constrained to remain on the line connecting the end-nodes. The whole mechanical system undergoes an additive decomposition of the strains along the truss direction where the total contribution of the mid-node is accounted for by using a null-space projection and static condensation techniques. Assembling of such line-elements in 3D networks allows us to model extended regions of living tissues as well as their anisotropies.

AB - We resort to non-linear viscoelasticity to develop a truss element able to model reversible softening in lung epithelial tissues undergoing transient stretch. Such a Maxwell truss element is built by resorting to a three-noded element whose mid-node is kinematically constrained to remain on the line connecting the end-nodes. The whole mechanical system undergoes an additive decomposition of the strains along the truss direction where the total contribution of the mid-node is accounted for by using a null-space projection and static condensation techniques. Assembling of such line-elements in 3D networks allows us to model extended regions of living tissues as well as their anisotropies.

KW - Maxwell

KW - Null-space

KW - Reversible softening

KW - Truss

KW - Viscoelasticity

UR - https://www.scopus.com/pages/publications/84874868899

U2 - 10.1016/j.mechrescom.2013.02.003

DO - 10.1016/j.mechrescom.2013.02.003

M3 - Article

AN - SCOPUS:84874868899

SN - 0093-6413

VL - 49

SP - 44

EP - 49

JO - Mechanics Research Communications

JF - Mechanics Research Communications

ER -

A truss element for modelling reversible softening in living tissues

Abstract

Keywords

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