FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2967166064> ?p ?o ?g. }

• W2967166064 abstract "There is a class of planar 1D-continua which can be described exclusively by their placement functions which in turn are curves in a two-dimensional space. In contrast to the Elastica for which the deformation energy depends on the projection of the second gradient to the normal vector of the placement function, i.e. the material curvature, the proposed continuum does also depend on the projection onto the tangent vector, introduced as the stretch gradient. Thus, the deformation energy takes into account the complete second gradient of the placement function. In such a model, non-standard boundary conditions and more generalized forces such as double forces do appear. The deformation energy of the continuum is obtained by applying a heuristic homogenization procedure to a family of slender discrete pantographic structures constituted by extensional and rotational springs. Within the homogenization process, the overall length of the system is kept fixed, the number of the periodically appearing sub-systems, called cells, is increased, and the stiffnesses are appropriately scaled. For two examples, we numerically compare the family of discrete systems with the continuum. The analysis shows that the continuum represents the behaviour of the discrete system already for a relatively moderate number of cells. In particular, the behaviour of the deformation energy error between the discrete and the continuum models when the number of cells tends to infinity is determined by the homogenization process." @default.
• W2967166064 created "2019-08-22" @default.
• W2967166064 creator A5026589468 @default.
• W2967166064 creator A5032736785 @default.
• W2967166064 creator A5082636805 @default.
• W2967166064 creator A5090428322 @default.
• W2967166064 date "2019-08-16" @default.
• W2967166064 modified "2023-09-26" @default.
• W2967166064 title "Pantographic beam: a complete second gradient 1D-continuum in plane" @default.
• W2967166064 cites W1597552203 @default.
• W2967166064 cites W1963966586 @default.
• W2967166064 cites W2014074045 @default.
• W2967166064 cites W202281819 @default.
• W2967166064 cites W2027239222 @default.
• W2967166064 cites W2038274370 @default.
• W2967166064 cites W2045899662 @default.
• W2967166064 cites W2050236916 @default.
• W2967166064 cites W2085850678 @default.
• W2967166064 cites W2093635407 @default.
• W2967166064 cites W2099883008 @default.
• W2967166064 cites W2101983404 @default.
• W2967166064 cites W2103659527 @default.
• W2967166064 cites W2182059685 @default.
• W2967166064 cites W2253997481 @default.
• W2967166064 cites W2340298472 @default.
• W2967166064 cites W2343937162 @default.
• W2967166064 cites W2346305477 @default.
• W2967166064 cites W2384825574 @default.
• W2967166064 cites W2473475469 @default.
• W2967166064 cites W2499460642 @default.
• W2967166064 cites W2519673253 @default.
• W2967166064 cites W2520041521 @default.
• W2967166064 cites W2520625992 @default.
• W2967166064 cites W2559003750 @default.
• W2967166064 cites W2593703652 @default.
• W2967166064 cites W2618531634 @default.
• W2967166064 cites W2624633237 @default.
• W2967166064 cites W2777647218 @default.
• W2967166064 cites W2777853506 @default.
• W2967166064 cites W2790110885 @default.
• W2967166064 cites W2790518842 @default.
• W2967166064 cites W2791353966 @default.
• W2967166064 cites W2791364528 @default.
• W2967166064 cites W2794309870 @default.
• W2967166064 cites W2801724291 @default.
• W2967166064 cites W2802189671 @default.
• W2967166064 cites W2804908211 @default.
• W2967166064 cites W2811019914 @default.
• W2967166064 cites W3017593532 @default.
• W2967166064 cites W3103240506 @default.
• W2967166064 cites W3106471168 @default.
• W2967166064 cites W4302570161 @default.
• W2967166064 cites W881878678 @default.
• W2967166064 doi "https://doi.org/10.1007/s00033-019-1181-4" @default.
• W2967166064 hasPublicationYear "2019" @default.
• W2967166064 type Work @default.
• W2967166064 sameAs 2967166064 @default.
• W2967166064 citedByCount "61" @default.
• W2967166064 countsByYear W29671660642019 @default.
• W2967166064 countsByYear W29671660642020 @default.
• W2967166064 countsByYear W29671660642021 @default.
• W2967166064 countsByYear W29671660642022 @default.
• W2967166064 countsByYear W29671660642023 @default.
• W2967166064 crossrefType "journal-article" @default.
• W2967166064 hasAuthorship W2967166064A5026589468 @default.
• W2967166064 hasAuthorship W2967166064A5032736785 @default.
• W2967166064 hasAuthorship W2967166064A5082636805 @default.
• W2967166064 hasAuthorship W2967166064A5090428322 @default.
• W2967166064 hasBestOaLocation W29671660642 @default.
• W2967166064 hasConcept C121332964 @default.
• W2967166064 hasConcept C121684516 @default.
• W2967166064 hasConcept C130217890 @default.
• W2967166064 hasConcept C134306372 @default.
• W2967166064 hasConcept C134786449 @default.
• W2967166064 hasConcept C138187205 @default.
• W2967166064 hasConcept C18903297 @default.
• W2967166064 hasConcept C195065555 @default.
• W2967166064 hasConcept C2524010 @default.
• W2967166064 hasConcept C2778722038 @default.
• W2967166064 hasConcept C33923547 @default.
• W2967166064 hasConcept C41008148 @default.
• W2967166064 hasConcept C74650414 @default.
• W2967166064 hasConcept C86803240 @default.
• W2967166064 hasConceptScore W2967166064C121332964 @default.
• W2967166064 hasConceptScore W2967166064C121684516 @default.
• W2967166064 hasConceptScore W2967166064C130217890 @default.
• W2967166064 hasConceptScore W2967166064C134306372 @default.
• W2967166064 hasConceptScore W2967166064C134786449 @default.
• W2967166064 hasConceptScore W2967166064C138187205 @default.
• W2967166064 hasConceptScore W2967166064C18903297 @default.
• W2967166064 hasConceptScore W2967166064C195065555 @default.
• W2967166064 hasConceptScore W2967166064C2524010 @default.
• W2967166064 hasConceptScore W2967166064C2778722038 @default.
• W2967166064 hasConceptScore W2967166064C33923547 @default.
• W2967166064 hasConceptScore W2967166064C41008148 @default.
• W2967166064 hasConceptScore W2967166064C74650414 @default.
• W2967166064 hasConceptScore W2967166064C86803240 @default.
• W2967166064 hasIssue "5" @default.
• W2967166064 hasLocation W29671660641 @default.
• W2967166064 hasLocation W29671660642 @default.

• next