Structural Transition from Helices to Hemihelices
Publication Date
April 23, 2014
Journal
PLOS ONE
Authors
Jia Liu, Jiangshui Huang, Tianxiang Su, Katia Bertoldi, et al
Volume
9
Issue
4
Pages
e93183
DOI
https://dx.plos.org/10.1371/journal.pone.0093183
Publisher URL
http://journals.plos.org/plosone/article?id=10.1371%2Fjournal.pone.0093183
PubMed
http://www.ncbi.nlm.nih.gov/pubmed/24759785
PubMed Central
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3997338
Europe PMC
http://europepmc.org/abstract/MED/24759785
Web of Science
000335298200007
Scopus
84899766749
Mendeley
http://www.mendeley.com/research/structural-transition-helices-hemihelices
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Mendeley | Further Information

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Scopus | Further Information

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Figshare

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  • {"files"=>["https://ndownloader.figshare.com/files/1472769"], "description"=>"<p>For a small ratio, the critical end-to-end distances for different modes are very close to one another and difficult to distinguish. Increasing the aspect ratio by increasing the thickness decreases the critical buckling load as well as separating the individual modes. To illustrate this behavior results for four modes and the helix are shown.</p>", "links"=>[], "tags"=>["Mechanical engineering", "Materials Science", "Material properties", "Mechanical properties", "Materials by structure", "polymers", "elastomers", "Materials physics", "mathematics", "Applied mathematics", "Finite element analysis", "physics", "Classical mechanics", "dynamics", "loads", "buckling"], "article_id"=>1005978, "categories"=>["Biological Sciences"], "users"=>["Jia Liu", "Jiangshui Huang", "Tianxiang Su", "Katia Bertoldi", "David R. Clarke"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0093183.g006", "stats"=>{"downloads"=>0, "page_views"=>8, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_The_critical_loads_for_different_buckling_modes_/1005978", "title"=>"The critical loads for different buckling modes.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2014-04-23 15:39:07"}
  • {"files"=>["https://ndownloader.figshare.com/files/1472763"], "description"=>"<p>The data indicates that there is a transition between the formation of helixes at larger aspect ratios and hemihelices at smaller aspect ratios. The precise phase boundary cannot be determined with any precision experimentally and so is shown shaded but there is evidently only a weak dependence on the value of the pre-strain. In some cases, bistrips made the same way produce either one or the other of the two perversion numbers indicated.</p>", "links"=>[], "tags"=>["Mechanical engineering", "Materials Science", "Material properties", "Mechanical properties", "Materials by structure", "polymers", "elastomers", "Materials physics", "mathematics", "Applied mathematics", "Finite element analysis", "physics", "Classical mechanics", "dynamics", "perversions", "observed", "prestrain", "cross-section"], "article_id"=>1005972, "categories"=>["Biological Sciences"], "users"=>["Jia Liu", "Jiangshui Huang", "Tianxiang Su", "Katia Bertoldi", "David R. Clarke"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0093183.g003", "stats"=>{"downloads"=>0, "page_views"=>9, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_The_number_of_perversions_observed_as_a_function_of_both_the_prestrain_and_the_cross_section_aspect_ratio_/1005972", "title"=>"The number of perversions observed as a function of both the prestrain and the cross-section aspect ratio, .", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2014-04-23 15:39:07"}
  • {"files"=>["https://ndownloader.figshare.com/files/1472760"], "description"=>"<p>The scale bar is 5 cm, and is the same for each image. These different shapes were all produced in the same way as shown in <a href=\"http://www.plosone.org/article/info:doi/10.1371/journal.pone.0093183#pone-0093183-g002\" target=\"_blank\">figure 2</a> with the same value of pre-strain but with decreasing values of the height-to-width ratio of the bi-strip's cross-section. , , ).</p>", "links"=>[], "tags"=>["Mechanical engineering", "Materials Science", "Material properties", "Mechanical properties", "Materials by structure", "polymers", "elastomers", "Materials physics", "mathematics", "Applied mathematics", "Finite element analysis", "physics", "Classical mechanics", "dynamics", "helix", "hemihelix", "perversion", "marked", "perversions"], "article_id"=>1005969, "categories"=>["Biological Sciences"], "users"=>["Jia Liu", "Jiangshui Huang", "Tianxiang Su", "Katia Bertoldi", "David R. Clarke"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0093183.g001", "stats"=>{"downloads"=>0, "page_views"=>15, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Illustration_of_a_helix_top_a_hemihelix_with_one_perversion_marked_by_an_arrow_middle_and_a_hemihelix_with_multiple_perversions_bottom_/1005969", "title"=>"Illustration of a helix (top), a hemihelix with one perversion marked by an arrow (middle) and a hemihelix with multiple perversions (bottom).", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2014-04-23 15:39:07"}
  • {"files"=>["https://ndownloader.figshare.com/files/1472771"], "description"=>"<p>The growth rates are calculated for . Black dotted lines show the boundaries between modes with different number of perversions , while the red line corresponds to and separates hemihelices (on its left) from helices (on its right). For clarity not all the higher modes are shown.</p>", "links"=>[], "tags"=>["Mechanical engineering", "Materials Science", "Material properties", "Mechanical properties", "Materials by structure", "polymers", "elastomers", "Materials physics", "mathematics", "Applied mathematics", "Finite element analysis", "physics", "Classical mechanics", "dynamics"], "article_id"=>1005980, "categories"=>["Biological Sciences"], "users"=>["Jia Liu", "Jiangshui Huang", "Tianxiang Su", "Katia Bertoldi", "David R. Clarke"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0093183.g008", "stats"=>{"downloads"=>1, "page_views"=>17, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Contour_plots_showing_the_value_of_for_which_the_growth_rate_is_maximum_as_function_to_and_/1005980", "title"=>"Contour plots showing the value of for which the growth rate is maximum as function to and .", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2014-04-23 15:39:07"}
  • {"files"=>["https://ndownloader.figshare.com/files/1472767"], "description"=>"<p>Coordinate system used in the Kirchhoff analysis together with the dimensions and of the cross-section.</p>", "links"=>[], "tags"=>["Mechanical engineering", "Materials Science", "Material properties", "Mechanical properties", "Materials by structure", "polymers", "elastomers", "Materials physics", "mathematics", "Applied mathematics", "Finite element analysis", "physics", "Classical mechanics", "dynamics", "kirchhoff", "dimensions"], "article_id"=>1005976, "categories"=>["Biological Sciences"], "users"=>["Jia Liu", "Jiangshui Huang", "Tianxiang Su", "Katia Bertoldi", "David R. Clarke"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0093183.g005", "stats"=>{"downloads"=>0, "page_views"=>11, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Coordinate_system_used_in_the_Kirchhoff_analysis_together_with_the_dimensions_and_of_the_cross_section_/1005976", "title"=>"Coordinate system used in the Kirchhoff analysis together with the dimensions and of the cross-section.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2014-04-23 15:39:07"}
  • {"files"=>["https://ndownloader.figshare.com/files/1472765"], "description"=>"<p>The colors represent the local values of the computed von Mises stress. The prestrain was the same in all three cases. , , (A) , (B) , (C) . The images are taken when the end to end distances are . Gravity was included in the simulations and acts from left to right in these images.</p>", "links"=>[], "tags"=>["Mechanical engineering", "Materials Science", "Material properties", "Mechanical properties", "Materials by structure", "polymers", "elastomers", "Materials physics", "mathematics", "Applied mathematics", "Finite element analysis", "physics", "Classical mechanics", "dynamics", "recorded", "finite", "illustrating", "hemihelix", "perversion", "12"], "article_id"=>1005974, "categories"=>["Biological Sciences"], "users"=>["Jia Liu", "Jiangshui Huang", "Tianxiang Su", "Katia Bertoldi", "David R. Clarke"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0093183.g004", "stats"=>{"downloads"=>0, "page_views"=>7, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Snapshots_recorded_from_the_finite_element_simulations_illustrating_the_formation_of_A_a_helix_B_a_hemihelix_with_single_perversion_and_C_a_hemihelix_with_12_perversions_/1005974", "title"=>"Snapshots recorded from the finite element simulations, illustrating the formation of (A) a helix, (B) a hemihelix with single perversion and (C) a hemihelix with 12 perversions.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2014-04-23 15:39:07"}
  • {"files"=>["https://ndownloader.figshare.com/files/1472762"], "description"=>"<p>Starting with two long elastomer strips of different lengths, the shorter one is stretched to be the same length as the other. While the stretching force, P, is maintained, the two strips are joined side-by-side. Then, as the force is slowly released, the bi-strip twists and bends to create either a helix or a hemihelix.</p>", "links"=>[], "tags"=>["Mechanical engineering", "Materials Science", "Material properties", "Mechanical properties", "Materials by structure", "polymers", "elastomers", "Materials physics", "mathematics", "Applied mathematics", "Finite element analysis", "physics", "Classical mechanics", "dynamics", "operations", "spontaneous", "hemihelices"], "article_id"=>1005971, "categories"=>["Biological Sciences"], "users"=>["Jia Liu", "Jiangshui Huang", "Tianxiang Su", "Katia Bertoldi", "David R. Clarke"], "doi"=>"https://dx.doi.org/10.1371/journal.pone.0093183.g002", "stats"=>{"downloads"=>3, "page_views"=>4, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Sequence_of_operations_leading_to_the_spontaneous_creation_of_hemihelices_and_helices_/1005971", "title"=>"Sequence of operations leading to the spontaneous creation of hemihelices and helices.", "pos_in_sequence"=>0, "defined_type"=>1, "published_date"=>"2014-04-23 15:39:07"}
  • {"files"=>["https://ndownloader.figshare.com/files/1472833", "https://ndownloader.figshare.com/files/1472834", "https://ndownloader.figshare.com/files/1472835", "https://ndownloader.figshare.com/files/1472836", "https://ndownloader.figshare.com/files/1472837", "https://ndownloader.figshare.com/files/1472838", "https://ndownloader.figshare.com/files/1472840", "https://ndownloader.figshare.com/files/1472841", "https://ndownloader.figshare.com/files/1472842"], "description"=>"<div><p>Helices are amongst the most common structures in nature and in some cases, such as tethered plant tendrils, a more complex but related shape, the hemihelix forms. In its simplest form it consists of two helices of opposite chirality joined by a perversion. A recent, simple experiment using elastomer strips reveals that hemihelices with multiple reversals of chirality can also occur, a richness not anticipated by existing analyses. Here, we show through analysis and experiments that the transition from a helical to a hemihelical shape, as well as the number of perversions, depends on the height to width ratio of the strip's cross-section. Our findings provides the basis for the deterministic manufacture of a variety of complex three-dimensional shapes from flat strips.</p></div>", "links"=>[], "tags"=>["Mechanical engineering", "Materials Science", "Material properties", "Mechanical properties", "Materials by structure", "polymers", "elastomers", "Materials physics", "mathematics", "Applied mathematics", "Finite element analysis", "physics", "Classical mechanics", "dynamics", "helices"], "article_id"=>1006038, "categories"=>["Biological Sciences"], "users"=>["Jia Liu", "Jiangshui Huang", "Tianxiang Su", "Katia Bertoldi", "David R. Clarke"], "doi"=>["https://dx.doi.org/10.1371/journal.pone.0093183.s001", "https://dx.doi.org/10.1371/journal.pone.0093183.s002", "https://dx.doi.org/10.1371/journal.pone.0093183.s003", "https://dx.doi.org/10.1371/journal.pone.0093183.s004", "https://dx.doi.org/10.1371/journal.pone.0093183.s005", "https://dx.doi.org/10.1371/journal.pone.0093183.s006", "https://dx.doi.org/10.1371/journal.pone.0093183.s007", "https://dx.doi.org/10.1371/journal.pone.0093183.s008", "https://dx.doi.org/10.1371/journal.pone.0093183.s009"], "stats"=>{"downloads"=>1355, "page_views"=>13660, "likes"=>0}, "figshare_url"=>"https://figshare.com/articles/_Structural_Transition_from_Helices_to_Hemihelices_/1006038", "title"=>"Structural Transition from Helices to Hemihelices", "pos_in_sequence"=>0, "defined_type"=>4, "published_date"=>"2014-04-23 15:39:07"}

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Relative Metric

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