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Static and Dynamic Analyses of Layered Composite Plates with Multiphase Coupling and Nonlocal Effects

Waksmanski, Natalie P
http://rave.ohiolink.edu/etdc/view?acc_num=akron1478775596863257

Abstract Details

2016, Doctor of Philosophy, University of Akron, Engineering.
In this research, analytical solutions are developed to understand the static and dynamic behavior of layered composite plates under simply supported lateral boundary conditions. Composite materials are composed of two or more constituent materials with significantly different properties that can be tuned to provide better engineering properties. Materials with coupling properties can be utilized in composites so that the different phases can interact and create an optimal response. Quasicrystal (QC) and magneto-electro-elastic (MEE) materials exhibit coupling between different phases and are considered in this research. When analyzing QCs, classical linear elasticity theory is extended to higher dimensions to include the phason displacement fields of QCs. At the nanoscale, quantum size effects significantly alter the mechanical properties of QC and MEE materials and the size effect cannot be neglected. Thus, classical linear elasticity is inapplicable and Eringen’s nonlocal elasticity is extended to include the multiphase coupling. To obtain the three-dimensional response, the pseudo-Stroh formulation and propagator matrix method are utilized. The derived solutions for QC and MEE materials can be reduced to the case of a homogenous elastic case for verification. Composite plates consisting of a piezoelectric phase and a piezomagnetic phase show magnetoelectric coupling, which does not exist in either constituent, and are investigated in this research. Also investigated in this research, is the interaction between crystalline and quasicrystalline phases in composite plates. The various static and dynamic analyses demonstrate interesting features associated with the stacking sequence, boundary conditions, loading frequency, nonlocal effect, and phase coupling in the layered composite plate. The presented numerical results can serve as a benchmark for various numerical methods and can be used to check the accuracy of existing or any future plate theories.
Ernian Pan, Dr. (Advisor)
Wieslaw Binienda , Dr. (Committee Member)
Qindan Huang, Dr. (Committee Member)
Xiaosheng Gao, Dr. (Committee Member)
Kevin Kreider , Dr. (Committee Member)
167 p.
Civil Engineering; Mechanics

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Citations

  • Waksmanski, N. P. (2016). Static and Dynamic Analyses of Layered Composite Plates with Multiphase Coupling and Nonlocal Effects [Doctoral dissertation, University of Akron]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=akron1478775596863257

    APA Style (7th edition)

  • Waksmanski, Natalie. Static and Dynamic Analyses of Layered Composite Plates with Multiphase Coupling and Nonlocal Effects . 2016. University of Akron, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=akron1478775596863257.

    MLA Style (8th edition)

  • Waksmanski, Natalie. "Static and Dynamic Analyses of Layered Composite Plates with Multiphase Coupling and Nonlocal Effects ." Doctoral dissertation, University of Akron, 2016. http://rave.ohiolink.edu/etdc/view?acc_num=akron1478775596863257

    Chicago Manual of Style (17th edition)

akron1478775596863257
337
© 2016, all rights reserved.
This open access ETD is published by University of Akron and OhioLINK.