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   <subfield code="a">10.1007/s12541-013-0187-7</subfield>
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   <subfield code="a">Cho</subfield>
   <subfield code="D">Hee-Keun</subfield>
   <subfield code="u">Department of Mechanical Engineering Education, Andong National University, 1375 Gyeongdong-ro, Andong-si, 760-749, Gyeongsangbuk-do, South Korea</subfield>
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   <subfield code="a">Design optimization of laminated composite plates with static and dynamic considerations in hygrothermal environments</subfield>
   <subfield code="h">[Elektronische Daten]</subfield>
   <subfield code="c">[Hee-Keun Cho]</subfield>
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   <subfield code="a">Motivated by needs such as those in the aerospace industry, this paper develops and demonstrates a method for optimizing laminated composite shell components considering the natural frequency, damping and deflection subjected to a concentrated load on the center of the plate in hygrothermal environments by manipulating individual ply angles and thicknesses. Optimization is performed by synergizing an FEA with a gradient-based modified feasible direction optimization algorithm. The objective is to minimize the weight of the plates within the given design space via the constraint of the first natural frequency, dampings of the first vibration modes and deflections caused by the applied hygro-thermo-mechanical loads. Illustrative applications involve six-ply symmetric rectangular laminated panels simply supported along four edges, although the method is applicable to more complicated laminates, geometries and boundary conditions. The panel geometry is discretized into specially-developed, 3D-degenerated eight-node shell isoparametric layered composite elements. Through a numerical example, it is shown that hygro-thermal effects play an important role in the optimal design of laminated composites.</subfield>
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  <datafield tag="540" ind1=" " ind2=" ">
   <subfield code="a">Korean Society for Precision Engineering and Springer-Verlag Berlin Heidelberg, 2013</subfield>
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  <datafield tag="690" ind1=" " ind2="7">
   <subfield code="a">Laminate</subfield>
   <subfield code="2">nationallicence</subfield>
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  <datafield tag="690" ind1=" " ind2="7">
   <subfield code="a">Composite</subfield>
   <subfield code="2">nationallicence</subfield>
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   <subfield code="a">Optimization</subfield>
   <subfield code="2">nationallicence</subfield>
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  <datafield tag="690" ind1=" " ind2="7">
   <subfield code="a">FEA</subfield>
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  <datafield tag="690" ind1=" " ind2="7">
   <subfield code="a">Hygrothermal</subfield>
   <subfield code="2">nationallicence</subfield>
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  <datafield tag="690" ind1=" " ind2="7">
   <subfield code="a">er, es, et : shell element directional unit vectors</subfield>
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   <subfield code="a">N k : shape function</subfield>
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   <subfield code="a">V n k : normal vector to the shell mid-surface</subfield>
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   <subfield code="a">[ C sh ] : shell element material stiffness matrix</subfield>
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  <datafield tag="690" ind1=" " ind2="7">
   <subfield code="a">[ T sh ] : shell element transformation matrix</subfield>
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  <datafield tag="690" ind1=" " ind2="7">
   <subfield code="a">α xx : x-direction thermal expansion coefficient</subfield>
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  <datafield tag="690" ind1=" " ind2="7">
   <subfield code="a">β xx : x-direction hygro coefficient</subfield>
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   <subfield code="a">R I : thermally induced equivalent nodal force</subfield>
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   <subfield code="a">ɛ th : thermal strain</subfield>
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   <subfield code="a">ɛ hy : hygro strain</subfield>
   <subfield code="2">nationallicence</subfield>
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  <datafield tag="690" ind1=" " ind2="7">
   <subfield code="a">Ψ : damping capacity</subfield>
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   <subfield code="a">U e : total strain energy</subfield>
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   <subfield code="a">[ K s ] : static stiffness matrix</subfield>
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  <datafield tag="690" ind1=" " ind2="7">
   <subfield code="a">[ K th ] : temperature stiffness matrix</subfield>
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   <subfield code="a">[ K hy ] : moisture stiffness matrix</subfield>
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   <subfield code="a">[ B ] : strain-displacement matrix</subfield>
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   <subfield code="a">[ M ] : mass matrix</subfield>
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   <subfield code="t">International Journal of Precision Engineering and Manufacturing</subfield>
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   <subfield code="g">14/8(2013-08-01), 1387-1394</subfield>
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