A novel hybrid technique to decompose in-plane thermoelastic displacement fields into thermal and structural displacement fields
Structural health monitoring techniques assess structural responses by retrieving total displacement fields encompassing thermal and structural displacement fields. However, techniques to decompose a total displacement field into individual displacement fields—thermal- and structural-load induced fi...
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| Published in: | Acta mechanica Vol. 233; no. 9; pp. 3747 - 3776 |
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| Main Authors: | , |
| Format: | Journal Article |
| Language: | English |
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Springer Vienna
01.09.2022
Springer Springer Nature B.V |
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| ISSN: | 0001-5970, 1619-6937 |
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| Abstract | Structural health monitoring techniques assess structural responses by retrieving total displacement fields encompassing thermal and structural displacement fields. However, techniques to decompose a total displacement field into individual displacement fields—thermal- and structural-load induced fields—have not been explored. To address this research gap, the present work proposes and demonstrates a novel hybrid technique—coupling a low-fidelity FEM and an analytical technique formulated using complex variables. The technique incorporates partial coarse-mesh FEM boundary data with field variables expressions—presented as Laurent series—to compute unknown constants in the series. The technique is illustrated for thermoelastic problems including circular and elliptical rings and a plate with a hole. On the other hand, non-thermoelastic problems of practical utility—a special case of thermoelastic problems—are presented to demonstrate the versatility of the technique. The individual decomposed displacement fields are plotted as contour plots over the domains and are corroborated with high-fidelity FEM.
L
2
norms indicate a very good correspondence for thermoelastic problems, indicating the efficacy of the technique. The non-thermoelastic cases show higher deviation but within reasonable limits. Subsequently, the extension of the technique to experiments and evaluation of the stress fields are briefly discussed. |
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| AbstractList | Structural health monitoring techniques assess structural responses by retrieving total displacement fields encompassing thermal and structural displacement fields. However, techniques to decompose a total displacement field into individual displacement fields-thermal- and structural-load induced fields-have not been explored. To address this research gap, the present work proposes and demonstrates a novel hybrid technique-coupling a low-fidelity FEM and an analytical technique formulated using complex variables. The technique incorporates partial coarse-mesh FEM boundary data with field variables expressions-presented as Laurent series-to compute unknown constants in the series. The technique is illustrated for thermoelastic problems including circular and elliptical rings and a plate with a hole. On the other hand, non-thermoelastic problems of practical utility-a special case of thermoelastic problems-are presented to demonstrate the versatility of the technique. The individual decomposed displacement fields are plotted as contour plots over the domains and are corroborated with high-fidelity FEM. [Formula omitted] norms indicate a very good correspondence for thermoelastic problems, indicating the efficacy of the technique. The non-thermoelastic cases show higher deviation but within reasonable limits. Subsequently, the extension of the technique to experiments and evaluation of the stress fields are briefly discussed. Structural health monitoring techniques assess structural responses by retrieving total displacement fields encompassing thermal and structural displacement fields. However, techniques to decompose a total displacement field into individual displacement fields—thermal- and structural-load induced fields—have not been explored. To address this research gap, the present work proposes and demonstrates a novel hybrid technique—coupling a low-fidelity FEM and an analytical technique formulated using complex variables. The technique incorporates partial coarse-mesh FEM boundary data with field variables expressions—presented as Laurent series—to compute unknown constants in the series. The technique is illustrated for thermoelastic problems including circular and elliptical rings and a plate with a hole. On the other hand, non-thermoelastic problems of practical utility—a special case of thermoelastic problems—are presented to demonstrate the versatility of the technique. The individual decomposed displacement fields are plotted as contour plots over the domains and are corroborated with high-fidelity FEM. L2 norms indicate a very good correspondence for thermoelastic problems, indicating the efficacy of the technique. The non-thermoelastic cases show higher deviation but within reasonable limits. Subsequently, the extension of the technique to experiments and evaluation of the stress fields are briefly discussed. Structural health monitoring techniques assess structural responses by retrieving total displacement fields encompassing thermal and structural displacement fields. However, techniques to decompose a total displacement field into individual displacement fields—thermal- and structural-load induced fields—have not been explored. To address this research gap, the present work proposes and demonstrates a novel hybrid technique—coupling a low-fidelity FEM and an analytical technique formulated using complex variables. The technique incorporates partial coarse-mesh FEM boundary data with field variables expressions—presented as Laurent series—to compute unknown constants in the series. The technique is illustrated for thermoelastic problems including circular and elliptical rings and a plate with a hole. On the other hand, non-thermoelastic problems of practical utility—a special case of thermoelastic problems—are presented to demonstrate the versatility of the technique. The individual decomposed displacement fields are plotted as contour plots over the domains and are corroborated with high-fidelity FEM. L 2 norms indicate a very good correspondence for thermoelastic problems, indicating the efficacy of the technique. The non-thermoelastic cases show higher deviation but within reasonable limits. Subsequently, the extension of the technique to experiments and evaluation of the stress fields are briefly discussed. |
| Audience | Academic |
| Author | Gotkhindi, Tejas P. Thube, Yogesh S. |
| Author_xml | – sequence: 1 givenname: Yogesh S. surname: Thube fullname: Thube, Yogesh S. organization: Department of Mechanical, Materials and Aerospace Engineering, Indian Institute of Technology Dharwad – sequence: 2 givenname: Tejas P. orcidid: 0000-0002-9244-6290 surname: Gotkhindi fullname: Gotkhindi, Tejas P. email: tejaspg@iitdh.ac.in organization: Department of Mechanical, Materials and Aerospace Engineering, Indian Institute of Technology Dharwad |
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| Cites_doi | 10.1016/S0020-7683(96)00123-0 10.1115/1.2789045 10.1016/0020-7683(91)90075-Q 10.1016/S0020-7683(98)00342-4 10.1007/s11340-016-0218-2 10.1016/j.enganabound.2015.11.006 10.1115/1.1410367 10.1080/01495739.2013.788903 10.1016/S0020-7683(99)00111-0 10.1007/s11012-020-01254-7 10.1080/01495739.2018.1527736 10.1007/BF01177673 10.1186/s40712-019-0115-4 10.1080/01495730590932706 10.1080/01495739.2018.1428504 10.1177/0021998318795279 10.1016/j.ast.2021.106914 10.1016/0020-7683(91)90020-G 10.1007/s11012-015-0146-8 10.1016/j.acme.2017.10.005 10.1007/s11340-013-9818-2 10.1080/01495739.2016.1216038 10.1088/0957-0233/20/6/062001 10.1115/1.2788962 10.1080/01495739308946240 10.1111/str.12306 10.1007/s10483-009-1002-x 10.1061/(ASCE)0733-9399(1999)125:6(684) 10.1007/978-981-16-6738-1_33 |
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