Buckling in response to applied heat sources
We consider the problem of thermoelastic buckling of slender rods and thin plates subject to specified heat sources on their surfaces. The situation arises in experiments in which the heat sources are either distributed in space (heat produced by exothermic heterogeneous chemical reactions catalyzed...
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| Published in | Physica. D Vol. 177; no. 1; pp. 71 - 100 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier B.V
15.03.2003
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| ISSN | 0167-2789 1872-8022 |
| DOI | 10.1016/S0167-2789(02)00750-9 |
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| Abstract | We consider the problem of thermoelastic buckling of slender rods and thin plates subject to specified heat sources on their surfaces. The situation arises in experiments in which the heat sources are either distributed in space (heat produced by exothermic heterogeneous chemical reactions catalyzed on the surface of a thin elastic crystal) or are more localized (laser beam heating of the crystal). The steady heat balance equation is solved for the unbuckled rod (plate), taking into account conduction and radiation losses. The resulting temperature fields induce buckling, which is studied analytically and numerically as a bifurcation problem in the appropriate nonlinear elastostatic equilibrium equations. |
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| AbstractList | We consider the problem of thermoelastic buckling of slender rods and thin plates subject to specified heat sources on their surfaces. The situation arises in experiments in which the heat sources are either distributed in space (heat produced by exothermic heterogeneous chemical reactions catalyzed on the surface of a thin elastic crystal) or are more localized (laser beam heating of the crystal). The steady heat balance equation is solved for the unbuckled rod (plate), taking into account conduction and radiation losses. The resulting temperature fields induce buckling, which is studied analytically and numerically as a bifurcation problem in the appropriate nonlinear elastostatic equilibrium equations. |
| Author | Kevrekidis, Ioannis G. Cisternas, Jaime Holmes, Philip |
| Author_xml | – sequence: 1 givenname: Jaime surname: Cisternas fullname: Cisternas, Jaime email: jcistern@princeton.edu organization: Program in Applied and Computational Mathematics, Princeton University, Princeton, NJ 08544, USA – sequence: 2 givenname: Philip surname: Holmes fullname: Holmes, Philip organization: Program in Applied and Computational Mathematics, Princeton University, Princeton, NJ 08544, USA – sequence: 3 givenname: Ioannis G. surname: Kevrekidis fullname: Kevrekidis, Ioannis G. organization: Program in Applied and Computational Mathematics, Princeton University, Princeton, NJ 08544, USA |
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| Cites_doi | 10.1016/S0065-2156(08)70386-7 10.1007/978-3-642-69565-0 10.1007/s00332-002-0467-3 10.1002/(SICI)1097-0207(20000430)47:12<2039::AID-NME872>3.0.CO;2-1 10.1137/0729075 10.1002/nme.1620151205 10.1016/S1359-0286(98)80044-2 10.1137/S1064827595289108 10.1016/S0895-7177(02)00122-X 10.1126/science.1063597 10.1007/978-1-4612-5034-0 10.1142/S0218127491000397 10.1126/science.280.5364.717 10.1121/1.402974 10.1063/1.463629 10.1007/BF00379919 10.1063/1.462226 |
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| Keywords | Laser beam heating Applied heat sources Thermoelastic buckling |
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| SubjectTerms | Applied heat sources Laser beam heating Thermoelastic buckling |
| Title | Buckling in response to applied heat sources |
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