Document Zbl 1414.74015

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Math. Phys.</a> <a href="/?q=in%3A433305" title="Articles in this Issue">60, No. 4, 041506, 14 p. (2019)</a>. </div> <div class="abstract">Summary: The one-dimensional full von Kármán beam is stabilized using the dissipative effect through heat conduction acting on the longitudinal component and the al damping acting on the transversal component of the beam.{<br class="zbmathjax-paragraph">©2019 American Institute of Physics}</div> <div class="clear"></div> <br> <div class="citations"><div class="clear"><a href="/?q=rf%3A7060250">Cited in <strong>9</strong> Documents</a></div></div> <div class="classification"> <h3>MSC:</h3> <table><tr> <td> <a class="mono" href="/classification/?q=cc%3A74K10" title="MSC2020">74K10</a> </td> <td class="space"> Rods (beams, columns, shafts, arches, rings, etc.) </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A74A55" title="MSC2020">74A55</a> </td> <td class="space"> Theories of friction (tribology) </td> </tr><tr> <td class="mono"> 80A20 </td> <td class="space"> Heat and mass transfer, heat flow (MSC2010) </td> </tr></table> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1414.74015" data-ciurl="/ci/07060250" data-biburl="/bibtex/07060250.bib" data-amsurl="/amsrefs/07060250.bib" data-xmlurl="/xml/07060250.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07060250.pdf" title="Zbl 1414.74015 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1063/1.5043615" aria-label="DOI for “Exponential stabilization of the full von Kármán beam by a thermal effect and a frictional damping and distributed delay”" title="10.1063/1.5043615">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> <div class="references"> <h3>References:</h3> <table><tr> <td>[1]</td> <td class="space">Horn, M. 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M., Thermoelasticity without energy dissipation, J. Elasticity, 31, 189-208 (1993) · <a href="/0784.73009" class="nowrap">Zbl 0784.73009</a> · <a href="https://doi.org/10.1007/bf00044969" class="nowrap">doi:10.1007/bf00044969</a></td> </tr><tr> <td>[18]</td> <td class="space">Green, A. E.; Naghdi, P. M., A unified procedure for construction of theories of deformable media. III. Mixtures of interacting continua, Proc. R. Soc. London, Ser. A, 448, 379-388 (1995) · <a href="/0868.73013" class="nowrap">Zbl 0868.73013</a> · <a href="https://doi.org/10.1098/rspa.1995.0022" class="nowrap">doi:10.1098/rspa.1995.0022</a></td> </tr><tr> <td>[19]</td> <td class="space">Lagnese, J. E., Boundary Stabilization of Thin Plates, viii+176 (1989) · <a href="/0696.73034" class="nowrap">Zbl 0696.73034</a></td> </tr><tr> <td>[20]</td> <td class="space">Lagnese, J. E., Uniform asymptotic energy estimates for solutions of the equations of dynamic plane elasticity with nonlinear dissipation at the boundary, Nonlinear Anal., 16, 35-54 (1991) · <a href="/0726.73014" class="nowrap">Zbl 0726.73014</a> · <a href="https://doi.org/10.1016/0362-546x(91)90129-o" class="nowrap">doi:10.1016/0362-546x(91)90129-o</a></td> </tr><tr> <td>[21]</td> <td class="space">Lagnese, J. E.; Leugering, G., Uniform stabilization of a nonlinear beam by nonlinear boundary feedback, J. Differ. 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