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This reference explains hybrid-Trefftz finite element method (FEM). Readers are introduced to the basic concepts and general element formulations of the method. This is followed by topics on non-homogeneous parabolic problems, thermal analysis of composites, and heat conduction in nonlinear functionally graded materials. A brief summary of the fundamental solution based-FEM is also presented followed by a discussion on axisymmetric potential problems and the rotordynamic response of tapered composites. The book is rounded by chapters that cover the n-sided polygonal hybrid finite elements and analysis of piezoelectric materials.Key Features- Systematic presentation of 9 topics- Covers FEMs in two sections: 1. hybrid-Trefftz method and 2. fundamental FEM solutions- Bibliographic references- Includes solutions to problems in the numerical analysis of different material types- Includes solutions to some problems encountered in civil engineering (seepage, heat transfer, etc).This reference is suitable for scholars involved in advanced courses in mathematics and engineering (civil engineering/materials engineering). Professionals involved in developing analytical tools for materials and construction testing can also benefit from the methods presented in the book.
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