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return kwic search for demonstrated out of >500 occurrences
286534 occurrences (No.87 in the rank) during 5 years in the PubMed. [cache]

252) The results were implemented into the commercial FE code ANSYS via user subroutines, and their applicability was demonstrated by an example of FE simulation with non-homogenous stress field.

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PMID:24168517 DOI:10.1080/10255842.2013.847928

2015 Computer methods in biomechanics and biomedical engineering

* Numerical implementation of constitutive model for arterial layers with distributed collagen fibre orientations.

- Several constitutive models have been proposed for the description of mechanical behaviour of soft tissues containing collagen fibres. Some of the commonly used approaches accounting for the dispersion of fibre orientations are based on the summation of (mechanical) contributions of differently oriented fibre families. This leads to the need of numerical integration on the sphere surface, and the related numerical consumption is the main disadvantage of this category of constitutive models. The paper is focused on the comparison of various numerical integration methods applied to a specific constitutive model applicable for arterial walls. Robustness and efficiency of several integration rules were tested with respect to application in finite element (FE) codes. Among all the analysed numerical integration rules, the best results were reached by Lebedev quadrature; the related parameters for the specific constitutive model are presented in the paper. The results were implemented into the commercial FE code ANSYS via user subroutines, and their applicability was demonstrated by an example of FE simulation with non-homogenous stress field.

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[frequency of next (right) word to demonstrated]

(1)158 that	(10)5 good	(19)3 excellent	(28)2 efficacy
(2)48 the	(11)5 increased	(20)3 more	(29)2 greater
(3)40 a	(12)5 significantly	(21)3 no	(30)2 how
(4)23 by	(13)4 as	(22)3 that,	(31)2 successful
(5)21 to	(14)4 better	(23)2 acceptable	(32)2 through
(6)13 in	(15)4 improved	(24)2 and	(33)2 using
(7)12 null	(16)4 its	(25)2 both
(8)11 an	(17)4 similar	(26)2 decreased
(9)8 for	(18)3 between	(27)2 differential

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--- WordNet output for demonstrated --- Overview of verb demonstrate The verb demonstrate has 4 senses (first 4 from tagged texts) 1. (24) show, demo, exhibit, present, demonstrate -- (give an exhibition of to an interested audience; "She shows her dogs frequently"; "We will demo the new software in Washington") 2. (22) prove, demonstrate, establish, show, shew -- (establish the validity of something, as by an example, explanation or experiment; "The experiment demonstrated the instability of the compound"; "The mathematician showed the validity of the conjecture") 3. (2) attest, certify, manifest, demonstrate, evidence -- (provide evidence for; stand as proof of; show by one's behavior, attitude, or external attributes; "His high fever attested to his illness"; "The buildings in Rome manifest a high level of architectural sophistication"; "This decision demonstrates his sense of fairness") 4. (1) demonstrate, march -- (march in protest; take part in a demonstration; "Thousands demonstrated against globalization during the meeting of the most powerful economic nations in Seattle") Overview of adj demonstrated The adj demonstrated has 1 sense (first 1 from tagged texts) 1. (1) demonstrated -- (having been demonstrated or verified beyond doubt) --- WordNet end ---