Advanced Topics in Finite Element Analysis of Structures
With Mathematica and MATLAB Computations
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This new book, resulting from the author's 22 years of teaching finite element analysis to undergraduate and graduate students, intends to strike an appropriate balance between the theory and application of the FEM. Utilizing a unique combination of live MATHEMATICA(r) and MATLAB(r) implementations, the book enables students to see behind the equations, "inside the black box", to fully understand the methods being presented and the solutions produced.
A residual approach to advanced topics in finite element analysis of solids and structures
Starting from governing differential equations, a unique and consistently weighted residual approach is used to present advanced topics in finite element analysis of structures, such as mixed and hybrid formulations, material and geometric nonlinearities, and contact problems. This book features a hands-on approach to understanding advanced concepts of the finite element method (FEM) through integrated Mathematica(r) and MATLAB(r) exercises. In ten chapters, Advanced Topics in Finite Element Analysis of Structures: with Mathematica(r) and MATLAB(r) Computations covers:
_ Essential background
_ Analysis of elastic solids
_ Solids of revolution
_ Multifield formulations for beam elements
_ Multifield formulations for analysis of elastic solids
_ Plates and shells
_ Introduction to nonlinear problems
_ Material nonlinearity
_ Geometric nonlinearity
_ Contact problems
An associated Web site (wiley.com/go/bhatti) includes expanded computational details of some of the lengthy examples in the text. It also contains live MATLAB(r) files and Mathematica(r) notebooks to overcome the tedious nature of calculations associated with finite elements.
Starting from governing differential equations, a unique and consistently weighted residual approach is used to present advanced topics in finite element analysis of structures, such as mixed and hybrid formulations, material and geometric nonlinearities, and contact problems. This book features a hands-on approach to understanding advanced concepts of the finite element method (FEM) through integrated Mathematica(r) and MATLAB(r) exercises. In ten chapters, Advanced Topics in Finite Element Analysis of Structures: with Mathematica(r) and MATLAB(r) Computations covers:
_ Essential background
_ Analysis of elastic solids
_ Solids of revolution
_ Multifield formulations for beam elements
_ Multifield formulations for analysis of elastic solids
_ Plates and shells
_ Introduction to nonlinear problems
_ Material nonlinearity
_ Geometric nonlinearity
_ Contact problems
An associated Web site (wiley.com/go/bhatti) includes expanded computational details of some of the lengthy examples in the text. It also contains live MATLAB(r) files and Mathematica(r) notebooks to overcome the tedious nature of calculations associated with finite elements.
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