Advanced topics in finite element analysis of structures : with mathematica and MATLAB computations / M. Asghar Bhatti
Bhatti, M. Asghar
Advanced topics in finite element analysis of structures : with mathematica and MATLAB computations / M. Asghar Bhatti - Hoboken, N.J. : John Wiley & Sons, 2006 - XVI, 590 p. : il. ; 24 cm.
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 and MATLAB 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. Índice: Essential Background. 1.1 Steps in a Finite Element Solution. 1.1.1 Two Node Uniform Bar Element. 1.2 Interpolation Functions. 1.2.1 Lagrange interpolation. 1.2.2 Hermite interpolation for fourth--order problems. 1.2.3 Lagrange interpolation for rectangular elements. 1.2.4 Triangular elements. 1.3 Integration by Parts. 1.4 Numerical Integration Using Gauss Quadrature. 1.5 Mapped Elements. Problems. Analysis of Elastic Solids. 2.1 Governing Equations. 2.1.1 Stresses. 2.1.2 Strains. 2.1.3 Constitutive equations. 2.1.4 Temperature effects and initial strains. 2.1.5 Stress equilibrium equations. 2.2 General Fo... Etc.
0-471-64807-8
MATLAB
Matemáticas para ingenieros--Proceso de datos
Advanced topics in finite element analysis of structures : with mathematica and MATLAB computations / M. Asghar Bhatti - Hoboken, N.J. : John Wiley & Sons, 2006 - XVI, 590 p. : il. ; 24 cm.
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 and MATLAB 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. Índice: Essential Background. 1.1 Steps in a Finite Element Solution. 1.1.1 Two Node Uniform Bar Element. 1.2 Interpolation Functions. 1.2.1 Lagrange interpolation. 1.2.2 Hermite interpolation for fourth--order problems. 1.2.3 Lagrange interpolation for rectangular elements. 1.2.4 Triangular elements. 1.3 Integration by Parts. 1.4 Numerical Integration Using Gauss Quadrature. 1.5 Mapped Elements. Problems. Analysis of Elastic Solids. 2.1 Governing Equations. 2.1.1 Stresses. 2.1.2 Strains. 2.1.3 Constitutive equations. 2.1.4 Temperature effects and initial strains. 2.1.5 Stress equilibrium equations. 2.2 General Fo... Etc.
0-471-64807-8
MATLAB
Matemáticas para ingenieros--Proceso de datos