Introduction to finite elements in engineering / by Tirupathi R. Chandrupatla, Ashok D. Belegundu.

By: Chandrupatla, Tirupathi R, 1944-Contributor(s): Belegundu, Ashok D, 1956-Material type: TextTextPublication details: U.P : Pearson, 2017cEdition: 4th edDescription: 512 p. : ill. ; 25 cmISBN: 9789332551824 (pbk)Subject(s): Finite element method | Engineering mathematicsDDC classification: 620.00151535
Contents:
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-- Rayleigh-Ritz Method -- Galerkin's Method -- Saint Venant's Principle -- Von Mises Stress -- Computer Programs -- Historical References -- Matrix Algebra and Gaussian Elimination -- Matrix Algebra -- Row and Column Vectors -- Addition and Subtraction -- Multiplication by a Scalar -- Matrix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.
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Item type Current library Call number Copy number Status Date due Barcode Item holds
Books Books Namal Library
Engineering 		620.00151535 CHA-I 2017 10897 (Browse shelf (Opens below)) 1 Available 0010897
Books Books Namal Library
Engineering 		620.00151535 CHA-I 2017 10896 (Browse shelf (Opens below)) 2 Available 0010896
Books Books Namal Library
Engineering 		620.00151535 CHA-I 2017 10895 (Browse shelf (Opens below)) 3 Available 0010895
Books Books Namal Library
Engineering 		620.00151535 CHA-I 2017 10894 (Browse shelf (Opens below)) 4 Available 0010894
Reference Namal Library
Engineering 		620.00151535 CHA-I 2017 10893 (Browse shelf (Opens below)) 5 Not for loan 0010893
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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.

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