Thermo‐elastic analysis of functionally graded multilayered two‐dimensional decagonal quasicrystal plates
Functionally graded materials have been extensively used as thermal barrier materials and composite laminates to resist high temperatures and reduce the thermal stresses. In this paper, an analytical solution is presented to investigate the response of functionally graded multilayered two‐dimensiona...
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| Published in | Zeitschrift für angewandte Mathematik und Mechanik Vol. 98; no. 9; pp. 1585 - 1602 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
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01.09.2018
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| Abstract | Functionally graded materials have been extensively used as thermal barrier materials and composite laminates to resist high temperatures and reduce the thermal stresses. In this paper, an analytical solution is presented to investigate the response of functionally graded multilayered two‐dimensional thermoelastic decagonal quasicrystal plates. The general solution for a functionally graded simply supported plate with the material properties being assumed to be exponentially distributed along the thickness direction is derived by using the pseudo‐Stroh formalism, and the solution for the corresponding multilayered case is obtained in terms of the propagator matrix method. Numerical results show the influences of functionally graded exponential factor, phonon‐phason coupling coefficient and the thickness of functionally graded quasicrystal layer on the phonon, phason and thermal fields of the plates under the steady‐state thermal load. The obtained results should be useful for future analysis and design of functionally graded layered thermoelastic quasicrystal plates.
Functionally graded materials have been extensively used as thermal barrier materials and composite laminates to resist high temperatures and reduce the thermal stresses. In this paper, an analytical solution is presented to investigate the response of functionally graded multilayered two‐dimensional thermoelastic decagonal quasicrystal plates. The general solution for a functionally graded simply supported plate with the material properties being assumed to be exponentially distributed along the thickness direction is derived by using the pseudo‐Stroh formalism, and the solution for the corresponding multilayered case is obtained in terms of the propagator matrix method. Numerical results show the influences of functionally graded exponential factor, phonon‐phason coupling coefficient and the thickness of functionally graded quasicrystal layer on the phonon, phason and thermal fields of the plates under the steady‐state thermal load. The obtained results should be useful for future analysis and design of functionally graded layered thermoelastic quasicrystal plates. |
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| AbstractList | Functionally graded materials have been extensively used as thermal barrier materials and composite laminates to resist high temperatures and reduce the thermal stresses. In this paper, an analytical solution is presented to investigate the response of functionally graded multilayered two‐dimensional thermoelastic decagonal quasicrystal plates. The general solution for a functionally graded simply supported plate with the material properties being assumed to be exponentially distributed along the thickness direction is derived by using the pseudo‐Stroh formalism, and the solution for the corresponding multilayered case is obtained in terms of the propagator matrix method. Numerical results show the influences of functionally graded exponential factor, phonon‐phason coupling coefficient and the thickness of functionally graded quasicrystal layer on the phonon, phason and thermal fields of the plates under the steady‐state thermal load. The obtained results should be useful for future analysis and design of functionally graded layered thermoelastic quasicrystal plates. Functionally graded materials have been extensively used as thermal barrier materials and composite laminates to resist high temperatures and reduce the thermal stresses. In this paper, an analytical solution is presented to investigate the response of functionally graded multilayered two‐dimensional thermoelastic decagonal quasicrystal plates. The general solution for a functionally graded simply supported plate with the material properties being assumed to be exponentially distributed along the thickness direction is derived by using the pseudo‐Stroh formalism, and the solution for the corresponding multilayered case is obtained in terms of the propagator matrix method. Numerical results show the influences of functionally graded exponential factor, phonon‐phason coupling coefficient and the thickness of functionally graded quasicrystal layer on the phonon, phason and thermal fields of the plates under the steady‐state thermal load. The obtained results should be useful for future analysis and design of functionally graded layered thermoelastic quasicrystal plates. Functionally graded materials have been extensively used as thermal barrier materials and composite laminates to resist high temperatures and reduce the thermal stresses. In this paper, an analytical solution is presented to investigate the response of functionally graded multilayered two‐dimensional thermoelastic decagonal quasicrystal plates. The general solution for a functionally graded simply supported plate with the material properties being assumed to be exponentially distributed along the thickness direction is derived by using the pseudo‐Stroh formalism, and the solution for the corresponding multilayered case is obtained in terms of the propagator matrix method. Numerical results show the influences of functionally graded exponential factor, phonon‐phason coupling coefficient and the thickness of functionally graded quasicrystal layer on the phonon, phason and thermal fields of the plates under the steady‐state thermal load. The obtained results should be useful for future analysis and design of functionally graded layered thermoelastic quasicrystal plates. |
| Author | Yang, Lianzhi Gao, Yang Li, Yang |
| Author_xml | – sequence: 1 givenname: Yang orcidid: 0000-0001-5142-8785 surname: Li fullname: Li, Yang organization: Yingkou Institute of Technology – sequence: 2 givenname: Lianzhi surname: Yang fullname: Yang, Lianzhi organization: University of Science and Technology Beijing – sequence: 3 givenname: Yang surname: Gao fullname: Gao, Yang email: gaoyangg@gmail.com organization: China Agricultural University |
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| Cites_doi | 10.1016/j.ijengsci.2016.05.008 10.1146/annurev.matsci.38.060407.130318 10.1016/S0020-7683(03)00288-9 10.1007/978-3-642-14643-5 10.1016/j.apm.2008.11.001 10.1002/zamm.200510270 10.1007/s00707-016-1657-7 10.1016/j.compstruct.2006.08.009 10.1016/j.compstruct.2014.09.070 10.1002/zamm.201300095 10.1177/1081286512442437 10.1098/rspa.2013.0023 10.1177/1081286512463572 10.1016/j.ijengsci.2004.09.006 10.1002/zamm.19690490802 10.1016/j.tafmec.2017.03.013 10.1016/j.ijsolstr.2007.07.023 10.1007/s00707-016-1620-7 10.1016/j.compositesb.2015.12.014 10.1103/PhysRevB.34.3345 10.1016/j.compstruct.2016.05.089 10.1115/1.4035106 10.1177/1045389X05050530 10.1103/PhysRevLett.53.2477 10.1016/j.ijsolstr.2017.04.036 10.1088/0964-1726/22/3/035003 10.1088/0964-1726/15/5/034 10.1080/01495739.2013.869149 10.1103/PhysRevB.48.7003 10.1016/j.jsv.2010.09.026 10.1016/0020-7403(83)90093-0 10.1002/zamm.201200087 10.1103/PhysRevLett.53.1951 10.1007/BF00726930 10.1016/j.compstruct.2016.10.047 10.1103/PhysRevLett.54.1517 10.1016/S1359-8368(96)00016-9 10.1007/s00419-015-1104-6 |
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| Title | Thermo‐elastic analysis of functionally graded multilayered two‐dimensional decagonal quasicrystal plates |
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