A New General Solution of Axisymmetric Elastic Space Problem in Pavement Engineering
The general solution of the axial symmetry elastic space problem in cement concrete pavement is an elementary question. Combining the Love method and the Southwell method, the Southwell operator was used in the variable selection process, the displacement function was introduced to express the displ...
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| Veröffentlicht in: | Mathematical problems in engineering 2023-01, Vol.2023 (1) |
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| creator | Lei, Sun |
| description | The general solution of the axial symmetry elastic space problem in cement concrete pavement is an elementary question. Combining the Love method and the Southwell method, the Southwell operator was used in the variable selection process, the displacement function was introduced to express the displacement component by the Love method, the expression of stress indicated by the displacement function was obtained by combining the displacement components, geometric equations, and physical equations, then the stress was substituted into the equilibrium equation, the biharmonic equation of displacement function was obtained by mathematical operation, and finally, a new general solution of the axisymmetric elastic space problem in cement concrete pavement was obtained. According to the proposed general solution, mechanical calculation for a cement concrete pavement slab on Winkler foundation was carried out, the displacement curve at the top surface of the slab and the stress curve at the top, middle, and bottom surface of the slab were derived, and the results showed that the method is feasible in the calculation of cement concrete pavement. The general solution provided a new method for solving the axisymmetric elastic space problem of cement concrete pavement. |
| doi_str_mv | 10.1155/2023/5308832 |
| format | Article |
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Combining the Love method and the Southwell method, the Southwell operator was used in the variable selection process, the displacement function was introduced to express the displacement component by the Love method, the expression of stress indicated by the displacement function was obtained by combining the displacement components, geometric equations, and physical equations, then the stress was substituted into the equilibrium equation, the biharmonic equation of displacement function was obtained by mathematical operation, and finally, a new general solution of the axisymmetric elastic space problem in cement concrete pavement was obtained. According to the proposed general solution, mechanical calculation for a cement concrete pavement slab on Winkler foundation was carried out, the displacement curve at the top surface of the slab and the stress curve at the top, middle, and bottom surface of the slab were derived, and the results showed that the method is feasible in the calculation of cement concrete pavement. The general solution provided a new method for solving the axisymmetric elastic space problem of cement concrete pavement.</description><identifier>ISSN: 1024-123X</identifier><identifier>EISSN: 1563-5147</identifier><identifier>DOI: 10.1155/2023/5308832</identifier><language>eng</language><publisher>New York: Hindawi</publisher><subject>Biharmonic equations ; Boundary conditions ; Cement ; Concrete pavements ; Concrete slabs ; Displacement ; Engineering ; Equilibrium equations ; Mathematical analysis ; Operators (mathematics) ; Shear strain</subject><ispartof>Mathematical problems in engineering, 2023-01, Vol.2023 (1)</ispartof><rights>Copyright © 2023 Sun Lei.</rights><rights>Copyright © 2023 Sun Lei. This is an open access article distributed under the Creative Commons Attribution License (the “License”), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. https://creativecommons.org/licenses/by/4.0</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c1392-28281d39d27ab8760c27be22078d601d1d1dde8474b26f54965f4ea541c86d4c3</cites><orcidid>0000-0003-0726-6461</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>315,781,785,27929,27930</link.rule.ids></links><search><contributor>Xue, Binghan</contributor><contributor>Binghan Xue</contributor><creatorcontrib>Lei, Sun</creatorcontrib><title>A New General Solution of Axisymmetric Elastic Space Problem in Pavement Engineering</title><title>Mathematical problems in engineering</title><description>The general solution of the axial symmetry elastic space problem in cement concrete pavement is an elementary question. Combining the Love method and the Southwell method, the Southwell operator was used in the variable selection process, the displacement function was introduced to express the displacement component by the Love method, the expression of stress indicated by the displacement function was obtained by combining the displacement components, geometric equations, and physical equations, then the stress was substituted into the equilibrium equation, the biharmonic equation of displacement function was obtained by mathematical operation, and finally, a new general solution of the axisymmetric elastic space problem in cement concrete pavement was obtained. According to the proposed general solution, mechanical calculation for a cement concrete pavement slab on Winkler foundation was carried out, the displacement curve at the top surface of the slab and the stress curve at the top, middle, and bottom surface of the slab were derived, and the results showed that the method is feasible in the calculation of cement concrete pavement. The general solution provided a new method for solving the axisymmetric elastic space problem of cement concrete pavement.</description><subject>Biharmonic equations</subject><subject>Boundary conditions</subject><subject>Cement</subject><subject>Concrete pavements</subject><subject>Concrete slabs</subject><subject>Displacement</subject><subject>Engineering</subject><subject>Equilibrium equations</subject><subject>Mathematical analysis</subject><subject>Operators (mathematics)</subject><subject>Shear 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Combining the Love method and the Southwell method, the Southwell operator was used in the variable selection process, the displacement function was introduced to express the displacement component by the Love method, the expression of stress indicated by the displacement function was obtained by combining the displacement components, geometric equations, and physical equations, then the stress was substituted into the equilibrium equation, the biharmonic equation of displacement function was obtained by mathematical operation, and finally, a new general solution of the axisymmetric elastic space problem in cement concrete pavement was obtained. According to the proposed general solution, mechanical calculation for a cement concrete pavement slab on Winkler foundation was carried out, the displacement curve at the top surface of the slab and the stress curve at the top, middle, and bottom surface of the slab were derived, and the results showed that the method is feasible in the calculation of cement concrete pavement. The general solution provided a new method for solving the axisymmetric elastic space problem of cement concrete pavement.</abstract><cop>New York</cop><pub>Hindawi</pub><doi>10.1155/2023/5308832</doi><orcidid>https://orcid.org/0000-0003-0726-6461</orcidid><oa>free_for_read</oa></addata></record> |
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| source | EZB-FREE-00999 freely available EZB journals; Wiley Online Library (Open Access Collection); Alma/SFX Local Collection |
| subjects | Biharmonic equations Boundary conditions Cement Concrete pavements Concrete slabs Displacement Engineering Equilibrium equations Mathematical analysis Operators (mathematics) Shear strain |
| title | A New General Solution of Axisymmetric Elastic Space Problem in Pavement Engineering |
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