A Computerized Boundary Element Models for Coupled, Uncoupled and Generalized Thermoelasticity Theories of Functionally Graded Anisotropic Rotating Plates

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A Computerized Boundary Element Models for Coupled, Uncoupled and Generalized Thermoelasticity Theories of Functionally Graded Anisotropic Rotating Plates

November 28, 2019 Mathematics and Computer Science 0

The aim of this book, which consists of four chapters, is to study two dimensional generalized thermoelastic problems for rotating functionally graded anisotropic plates (FGAPs). A dual-reciprocity boundary element method (DRBEM) is implemented for solving the problems. The accuracy of the proposed method was examined and confirmed by comparing the obtained results with those known previously. These problems are solved under special conditions of the governing equations of generalized thermo-elasticity. This book has a lot of applications in many engineering fields such as modern aeronautics, astronautics, earthquake engineering, soil dynamics, mining engineering, nuclear reactor design, high energy particle accelerators, geothermal engineering, geophysics, plasma physics etc. The results of this thesis show the difference between the four theories of thermo-elasticity Green and Lindsay (G-L) theory, Lord and Shulman (L-S) theory, classical coupled theory of thermo-elasticity (CCTE) and classical uncoupled theory of thermo-elasticity (CUTE) in rotating FGAPs. It can be seen in the figures of this book that the dual reciprocity boundary element method (DRBEM) results are in excellent agreement with the finite element method (FEM) results.

In chapter one, a computerized boundary element model was implemented for solving the two-dimensional problem of the Green and Lindsay (G-L) theory of thermo-elasticity in functionally graded anisotropic (FGA) rotating plates. The accuracy of the proposed dual reciprocity boundary element method (DRBEM) was examined and confirmed by comparing the DRBEM obtained results of the temperature and displacements distributions with the FEM results known previously.

 In chapter two, a computerized boundary element model was implemented for solving the two-dimensional problem of the Lord and Shulman (L-S) theory of thermo-elasticity in FGA rotating plates. The accuracy of the proposed method was examined and confirmed by comparing the DRBEM obtained results of the temperature and displacements distributions with the FEM results known previously.

In chapter three, a computerized boundary element model was implemented for solving the two-dimensional problem of the classical coupled theory of thermo-elasticity (CCTE) in FGA rotating plates. The accuracy of the proposed method was examined and confirmed by comparing the DRBEM obtained results of the temperature and displacements distributions with the FEM results known previously.

In chapter four, a computerized boundary element model was implemented for solving the two-dimensional problem of the classical uncoupled theory of thermo-elasticity (CUTE) in FGA rotating plates. The accuracy of the proposed method was examined and confirmed by comparing the DRBEM obtained results of the temperature and displacements distributions with the FEM results known previously.

For more information contact author

Mohamed Abdelsabour Fahmy
Jamoum University College, Umm Al-Qura University, Alshohdaa 25371, Jamoum, Makkah, Saudi Arabia.
Faculty of Computers and Informatics, Suez Canal University, New Campus, 4.5 Km, Ring Road, El Salam District, 41522 Ismailia, Egypt.
E-mail: [email protected], [email protected]

View Book: http://bp.bookpi.org/index.php/bpi/catalog/book/99

 

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