About: Arruda–Boyce model

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In continuum mechanics, an Arruda–Boyce model is a hyperelastic constitutive model used to describe the mechanical behavior of rubber and other polymeric substances. This model is based on the statistical mechanics of a material with a cubic representative volume element containing eight chains along the diagonal directions. The material is assumed to be incompressible. The model is named after Ellen Arruda and Mary Cunningham Boyce, who published it in 1993. The strain energy density function for the incompressible Arruda–Boyce model is given by

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rdfs:label	Arruda–Boyce model (en)
rdfs:comment	In continuum mechanics, an Arruda–Boyce model is a hyperelastic constitutive model used to describe the mechanical behavior of rubber and other polymeric substances. This model is based on the statistical mechanics of a material with a cubic representative volume element containing eight chains along the diagonal directions. The material is assumed to be incompressible. The model is named after Ellen Arruda and Mary Cunningham Boyce, who published it in 1993. The strain energy density function for the incompressible Arruda–Boyce model is given by (en)
foaf:depiction
dcterms:subject	Polymer chemistry Solid mechanics Continuum mechanics Elasticity (physics) Non-Newtonian fluids Rubber properties
Wikipage page ID	26984136 (xsd:integer)
Wikipage revision ID	1103980687 (xsd:integer)
Link from a Wikipage to another Wikipage	Rubber Rubber elasticity Strain energy density function Boltzmann constant Deformation gradient Continuum mechanics Ellen Arruda Solid mechanics Gent (hyperelastic model) Stress (physics) Polymer chemistry Solid mechanics Continuum mechanics Linear elasticity Probability density function Representative volume element Hyperelastic material Statistical mechanics Elasticity (physics) Kelvin Non-Newtonian fluids Rubber properties Bulk modulus Polymer Random walk Shear modulus Yeoh (hyperelastic model) Mary Cunningham Boyce Simple shear Incompressible Neo-Hookean solid Finite strain theory Mooney–Rivlin solid Affine deformation Langevin function Configurational entropy Constitutive model dbr:Boltzmann_statistical_mechanics
sameAs	Arruda–Boyce model Arruda–Boyce model Arruda–Boyce model
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thumbnail	wiki-commons:Special:FilePath/ArrudaHyperElastic.svg?width=300
has abstract	In continuum mechanics, an Arruda–Boyce model is a hyperelastic constitutive model used to describe the mechanical behavior of rubber and other polymeric substances. This model is based on the statistical mechanics of a material with a cubic representative volume element containing eight chains along the diagonal directions. The material is assumed to be incompressible. The model is named after Ellen Arruda and Mary Cunningham Boyce, who published it in 1993. The strain energy density function for the incompressible Arruda–Boyce model is given by where is the number of chain segments, is the Boltzmann constant, is the temperature in kelvins, is the number of chains in the network of a cross-linked polymer, where is the first invariant of the left Cauchy–Green deformation tensor, and is the inverse Langevin function which can be approximated by For small deformations the Arruda–Boyce model reduces to the Gaussian network based neo-Hookean solid model. It can be shown that the Gent model is a simple and accurate approximation of the Arruda–Boyce model. (en)
prov:wasDerivedFrom	wikipedia-en:Arruda–Boyce_model?oldid=1103980687&ns=0
page length (characters) of wiki page	14071 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Arruda–Boyce_model
is Link from a Wikipage to another Wikipage of	Strain energy density function Arruda-Boyce model Arruda (disambiguation) Ellen Arruda Hyperelastic material
is Wikipage redirect of	Arruda-Boyce model
is Wikipage disambiguates of	Arruda (disambiguation)
is foaf:primaryTopic of	wikipedia-en:Arruda–Boyce_model

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