Introduction to finite elements in engineering /
Chandrupatla, Tirupathi R., 1944-
Introduction to finite elements in engineering / by Tirupathi R. Chandrupatla, Ashok D. Belegundu. - 4th ed. - U.P : Pearson, 2017c. - 512 p. : ill. ; 25 cm.
This work provides an integrated approach to finite element methodologies. The development of finite element theory is combined with examples and exercises involving engineering applications.
Historical Background --
Outline of Presentation --
Stresses and Equilibrium --
Boundary Conditions --
Strain-Displacement Relations --
Stress-Strain Relations --
Special Cases --
Temperature Effects --
Potential Energy and Equilibrium; The Rayleigh-Ritz Method --
Potential Energy [Pi] --
Rayleigh-Ritz Method --
Galerkin's Method --
Saint Venant's Principle --
Von Mises Stress --
Computer Programs --
Historical References --
Matrix Algebra and Gaussian Elimination --
Matrix Algebra --
Row and Column Vectors --
Addition and Subtraction --
Multiplication by a Scalar --
Matrix Multiplication --
Transposition --
Differentiation and Integration --
Square Matrix --
Diagonal Matrix --
Identity Matrix --
Symmetric Matrix --
Upper Triangular Matrix --
Determinant of a Matrix --
Matrix Inversion --
Eigenvalues and Eigenvectors --
Positive Definite Matrix --
Cholesky Decomposition --
Gaussian Elimination --
General Algorithm for Gaussian Elimination --
Symmetric Matrix --
Symmetric Banded Matrices --
Solution with Multiple Right Sides --
Gaussian Elimination with Column Reduction --
Skyline Solution --
Frontal Solution --
Conjugate Gradient Method for Equation Solving --
Conjugate Gradient Algorithm --
Program Listings --
One-Dimensional Problems --
Finite Element Modeling --
Element Division --
Numbering Scheme --
Coordinates and Shape Functions --
The Potential-Energy Approach --
Element Stiffness Matrix --
Force Terms --
The Galerkin Approach --
Element Stiffness --
Force Terms.
9789332551824 (pbk)
Finite element method.
Engineering mathematics.
620.00151535 / CHA-I 2017 10897
Introduction to finite elements in engineering / by Tirupathi R. Chandrupatla, Ashok D. Belegundu. - 4th ed. - U.P : Pearson, 2017c. - 512 p. : ill. ; 25 cm.
This work provides an integrated approach to finite element methodologies. The development of finite element theory is combined with examples and exercises involving engineering applications.
Historical Background --
Outline of Presentation --
Stresses and Equilibrium --
Boundary Conditions --
Strain-Displacement Relations --
Stress-Strain Relations --
Special Cases --
Temperature Effects --
Potential Energy and Equilibrium; The Rayleigh-Ritz Method --
Potential Energy [Pi] --
Rayleigh-Ritz Method --
Galerkin's Method --
Saint Venant's Principle --
Von Mises Stress --
Computer Programs --
Historical References --
Matrix Algebra and Gaussian Elimination --
Matrix Algebra --
Row and Column Vectors --
Addition and Subtraction --
Multiplication by a Scalar --
Matrix Multiplication --
Transposition --
Differentiation and Integration --
Square Matrix --
Diagonal Matrix --
Identity Matrix --
Symmetric Matrix --
Upper Triangular Matrix --
Determinant of a Matrix --
Matrix Inversion --
Eigenvalues and Eigenvectors --
Positive Definite Matrix --
Cholesky Decomposition --
Gaussian Elimination --
General Algorithm for Gaussian Elimination --
Symmetric Matrix --
Symmetric Banded Matrices --
Solution with Multiple Right Sides --
Gaussian Elimination with Column Reduction --
Skyline Solution --
Frontal Solution --
Conjugate Gradient Method for Equation Solving --
Conjugate Gradient Algorithm --
Program Listings --
One-Dimensional Problems --
Finite Element Modeling --
Element Division --
Numbering Scheme --
Coordinates and Shape Functions --
The Potential-Energy Approach --
Element Stiffness Matrix --
Force Terms --
The Galerkin Approach --
Element Stiffness --
Force Terms.
9789332551824 (pbk)
Finite element method.
Engineering mathematics.
620.00151535 / CHA-I 2017 10897