ELIZA

return kwic search for model out of >500 occurrences
469466 occurrences (No.35 in the rank) during 5 years in the PubMed. [no cache] 500 found

80) It is shown that for incompressible materials, the modification does not alter the mechanical behaviour described by the original constitutive model.

--- ABSTRACT ---

PMID:23895255 DOI:10.1080/10255842.2013.818662

2015 Computer methods in biomechanics and biomedical engineering

* On modelling large deformations of heterogeneous biological tissues using a mixed finite element formulation.

- This study addresses the issue of modelling material heterogeneity of incompressible bodies. It is seen that when using a mixed (displacement-pressure) finite element formulation, the basis functions used for pressure field may not be able to capture the nonlinearity of material parameters, resulting in pseudo-residual stresses. This problem can be resolved by modifying the constitutive relation using Flory's decomposition of the deformation gradient. A two-parameter Mooney-Rivlin constitutive relation is used to demonstrate the methodology. It is shown that for incompressible materials, the modification does not alter the mechanical behaviour described by the original constitutive model. In fact, the modified constitutive equation shows a better predictability when compared against analytical solutions. Two strategies of describing the material variation (i.e. linear and step change) are explained, and their solutions are evaluated for an ideal two-material interfacing problem. When compared with the standard tied coupling approach, the step change method exhibited a much better agreement because of its ability to capture abrupt changes of the material properties. The modified equation in conjunction with integration point-based material heterogeneity is then used to simulate the deformations of heterogeneous biological structures to illustrate its applications.

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[frequency of next (right) word to model]

(1)63 of	(12)7 as	(23)3 assessment	(34)2 demonstrated
(2)55 null	(13)6 are	(24)3 fit	(35)2 it
(3)35 for	(14)6 system	(25)3 revealed	(36)2 joints
(4)28 was	(15)5 a	(26)3 showed	(37)2 may
(5)26 to	(16)5 selection	(27)3 systems	(38)2 not
(6)16 and	(17)5 which	(28)3 were	(39)2 results
(7)16 in	(18)5 will	(29)2 allows	(40)2 species
(8)16 is	(19)4 can	(30)2 analyses	(41)2 such
(9)16 with	(20)4 parameters	(31)2 appropriate	(42)2 used
(10)12 that	(21)4 using	(32)2 biological
(11)8 the	(22)4 we	(33)2 consists

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--- WordNet output for model --- =>模型, 作る, 形に表わす, 模範, モデル, 型, 模型の, 模範となる, かたどる, 手本, モデルをする, 手本となる Overview of noun model The noun model has 9 senses (first 7 from tagged texts) 1. (19) model, theoretical account, framework -- (a hypothetical description of a complex entity or process; "the computer program was based on a model of the circulatory and respiratory systems") 2. (11) model -- (a type of product; "his car was an old model") 3. (6) model, poser -- (a person who poses for a photographer or painter or sculptor; "the president didn't have time to be a model so the artist worked from photos") 4. (4) model, simulation -- (representation of something (sometimes on a smaller scale)) 5. (3) exemplar, example, model, good example -- (something to be imitated; "an exemplar of success"; "a model of clarity"; "he is the very model of a modern major general") 6. (1) model, role model -- (someone worthy of imitation; "every child needs a role model") 7. (1) model, example -- (a representative form or pattern; "I profited from his example") 8. mannequin, manikin, mannikin, manakin, fashion model, model -- (a woman who wears clothes to display fashions; "she was too fat to be a mannequin") 9. model, modelling, modeling -- (the act of representing something (usually on a smaller scale)) Overview of verb model The verb model has 6 senses (first 2 from tagged texts) 1. (1) model, pattern -- (plan or create according to a model or models) 2. (1) model, mold, mould -- (form in clay, wax, etc; "model a head with clay") 3. model, pose, sit, posture -- (assume a posture as for artistic purposes; "We don't know the woman who posed for Leonardo so often") 4. model -- (display (clothes) as a mannequin; "model the latest fashion") 5. model, simulate -- (create a representation or model of; "The pilots are trained in conditions simulating high-altitude flights") 6. model, mock up -- (construct a model of; "model an airplane") Overview of adj model The adj model has 1 sense (first 1 from tagged texts) 1. (1) exemplary, model -- (worthy of imitation; "exemplary behavior"; "model citizens") --- WordNet end ---