ELIZA

return kwic search for used to out of >500 occurrences
298981 occurrences (No.78 in the rank) during 5 years in the PubMed. [cache]

314) 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.

--- 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 used to]

(1)28 assess	(20)5 design	(39)3 establish	(58)2 find
(2)28 identify	(21)5 increase	(40)3 observe	(59)2 fit
(3)23 evaluate	(22)5 inform	(41)3 prevent	(60)2 form
(4)20 study	(23)5 obtain	(42)3 solve	(61)2 further
(5)17 estimate	(24)5 quantify	(43)3 validate	(62)2 gain
(6)17 measure	(25)5 reconstruct	(44)2 accurately	(63)2 help
(7)16 determine	(26)4 calculate	(45)2 address	(64)2 improve
(8)16 examine	(27)4 characterize	(46)2 amplify	(65)2 make
(9)12 explore	(28)4 confirm	(47)2 avoid	(66)2 match
(10)10 treat	(29)4 construct	(48)2 be	(67)2 optimize
(11)9 analyze	(30)4 illustrate	(49)2 conduct	(68)2 perform
(12)8 develop	(31)4 reduce	(50)2 create	(69)2 prepare
(13)8 investigate	(32)4 screen	(51)2 demonstrate	(70)2 produce
(14)8 predict	(33)4 simulate	(52)2 derive	(71)2 promote
(15)7 collect	(34)4 verify	(53)2 describe	(72)2 recruit
(16)7 compare	(35)3 classify	(54)2 distinguish	(73)2 represent
(17)7 test	(36)3 compute	(55)2 explain	(74)2 select
(18)6 analyse	(37)3 control	(56)2 extrapolate
(19)6 detect	(38)3 define	(57)2 facilitate

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--- WordNet output for used --- =>1.〜に慣れて, 2.用いられた, 中古の Overview of verb use The verb use has 6 senses (first 3 from tagged texts) 1. (603) use, utilize, utilise, apply, employ -- (put into service; make work or employ for a particular purpose or for its inherent or natural purpose; "use your head!"; "we only use Spanish at home"; "I can't use this tool"; "Apply a magnetic field here"; "This thinking was applied to many projects"; "How do you utilize this tool?"; "I apply this rule to get good results"; "use the plastic bags to store the food"; "He doesn't know how to use a computer") 2. (12) use, habituate -- (take or consume (regularly or habitually); "She uses drugs rarely") 3. (8) use, expend -- (use up, consume fully; "The legislature expended its time on school questions") 4. use -- (seek or achieve an end by using to one's advantage; "She uses her influential friends to get jobs"; "The president's wife used her good connections") 5. practice, apply, use -- (avail oneself to; "apply a principle"; "practice a religion"; "use care when going down the stairs"; "use your common sense"; "practice non-violent resistance") 6. use -- (habitually do something (use only in the past tense); "She used to call her mother every week but now she calls only occasionally"; "I used to get sick when I ate in that dining hall"; "They used to vacation in the Bahamas") Overview of adj used The adj used has 3 senses (first 3 from tagged texts) 1. (4) used -- (employed in accomplishing something; "the principle of surprise is the most used and misused of all the principles of war"- H.H.Arnold & I.C.Eaker) 2. (1) exploited, ill-used, put-upon, used, victimized, victimised -- (of persons; taken advantage of; "after going out of his way to help his friend get the job he felt not appreciated but used") 3. (1) secondhand, used -- (previously used or owned by another; "bought a secondhand (or used) car") --- WordNet end ---