https://www.scipedia.com/wd/index.php?action=history&feed=atom&title=Igumnov_et_al_2021b 2026-04-22T21:45:37Z Revision history for this page on the wiki MediaWiki 1.27.0-wmf.10 https://www.scipedia.com/wd/index.php?title=Igumnov_et_al_2021b&diff=219376&oldid=prev 2021-03-11T16:15:57Z

<p>Scipediacontent moved page <a href="/public/Draft_Content_593438051" class="mw-redirect" title="Draft Content 593438051">Draft Content 593438051</a> to <a href="/public/Igumnov_et_al_2021b" title="Igumnov et al 2021b">Igumnov et al 2021b</a></p> <table class="diff diff-contentalign-left" data-mw="interface"> <tr style='vertical-align: top;' lang='en'> <td colspan='1' style="background-color: white; color:black; text-align: center;">← Older revision</td> <td colspan='1' style="background-color: white; color:black; text-align: center;">Revision as of 16:15, 11 March 2021</td> </tr><tr><td colspan='2' style='text-align: center;' lang='en'><div class="mw-diff-empty">(No difference)</div> </td></tr></table>

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<p>Created page with &quot;== Abstract == We discuss the various applications of the surface elasticity to determination of effective properties of materials and some related phenomena as surface wave...&quot;</p> <p><b>New page</b></p><div>== Abstract ==<br /> <br /> We discuss the various applications of the surface elasticity to determination of<br /> effective properties of materials and some related phenomena as surface wave propagation. In<br /> the frame of surface elasticity in addition to the constitutive relations in the bulk we<br /> independently introduce constitutive relations at the surface. Nowadays the most popular<br /> models of surface elasticity relates to the models by Gurtin and Murdoch and by Steigmann<br /> and Ogden. First we discuss some useful surface elasticity models. The corresponding<br /> boundary dynamic boundary conditions are derived at the smooth parts of the boundary as<br /> well as at edges and corner points. Let us underline that these conditions include also dynamic<br /> terms. As a result, we have here a dynamic generalization of the Laplace-Young equation<br /> known from the theory of capillarity. Second, we discuss the influence of the surface stresses at the effective stiffness parameters of layered plates and shallow shells. For small<br /> deformations we derived the exact formulae for modified tangent and bending stiffness<br /> parameters of the plates and shells. The influence of residual surface stresses is also<br /> discussed. Unlike to previous case where surface stresses are slightly changing the material<br /> properties, there is another example of essential influence of surface properties. This example<br /> relates to the propagation of anti-plane surface waves. We discuss some peculiarities of the<br /> wave propagation.<br /> <br /> == Full document ==<br /> &lt;pdf&gt;Media:Draft_Content_593438051p3343.pdf&lt;/pdf&gt;</div>

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