Finite elements ("FE or FEA") is a numerical tool used for analyzing problems involving stress analysis, heat and fluid flow, resonance frequencies and mode shapes, etc. Irregular shaped domains, various materials can be incorporated. The book deals with a variety of topics in a manner that integrates theory, algorithms, modeling, and computer implementation. Many solved examples reinforce this pedagogy along with end-of-chapter problems, in-house source codes on multiple platforms, and a solutions manual for the instructor. Topics include energy and Galerkin approaches, equation solving with sparsity, elasticity, heat conduction and other scalar field problems, vibration and preand post- processing. The variety of topics dealt with enables the book to be used as a text in various engineering disciplines, at the senior-undergraduate or 1st year graduate level. The book can also serve as a learning resource for practicing engineers"--
Thoroughly updated with improved pedagogy, the fifth edition of this classic textbook continues to provide students with a clear and comprehensive introduction the fundamentals of the finite element method. New features include enhanced coverage of introductory topics in the context of simple 1D problems, providing students with a solid base from which to advance to 2D and 3D problems; expanded coverage of more advanced concepts, to reinforce students' understanding; over 30 additional solved problems; and downloadable MATLAB, Python, C, Javascript, Fortran and Excel VBA code packages, providing students with hands-on experience, and preparing them for commercial software. Accompanied by online solutions for instructors, this is the definitive text for senior undergraduate and graduate students studying a first course in the finite element method and finite element analysis, and for professional engineers keen to shore up their understanding of finite element fundamentals.
In this revised and enhanced second edition of Optimization Concepts and Applications in Engineering, the already robust pedagogy has been enhanced with more detailed explanations, an increased number of solved examples and end-of-chapter problems. The source codes are now available free on multiple platforms. It is vitally important to meet or exceed previous quality and reliability standards while at the same time reducing resource consumption. This textbook addresses this critical imperative integrating theory, modeling, the development of numerical methods, and problem solving, thus preparing the student to apply optimization to real-world problems. This text covers a broad variety of optimization problems using: unconstrained, constrained, gradient, and non-gradient techniques; duality concepts; multiobjective optimization; linear, integer, geometric, and dynamic programming with applications; and finite element-based optimization. It is ideal for advanced undergraduate or graduate courses and for practising engineers in all engineering disciplines, as well as in applied mathematics.
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