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The Resource Finite Element Concepts : A ClosedForm Algebraic Development, by Gautam Dasgupta, (electronic resource)
Finite Element Concepts : A ClosedForm Algebraic Development, by Gautam Dasgupta, (electronic resource)
Resource Information
The item Finite Element Concepts : A ClosedForm Algebraic Development, by Gautam Dasgupta, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.This item is available to borrow from all library branches.
Resource Information
The item Finite Element Concepts : A ClosedForm Algebraic Development, by Gautam Dasgupta, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.
This item is available to borrow from all library branches.
 Summary
 This text presents a highly original treatment of the fundamentals of FEM, developed using computer algebra, based on undergraduatelevel engineering mathematics and the mechanics of solids. The book is divided into two distinct parts of nine chapters and seven appendices. The first chapter reviews the energy concepts in structural mechanics with bar problems, which is continued in the next chapter for truss analysis using Mathematica programs. The Courant and Clough triangular elements for scalar potentials and linear elasticity are covered in chapters three and four, followed by fournode elements. Chapters five and six describe Taig’s isoparametric interpolants and Iron’s patch test. Rayleigh vector modes, which satisfy pointwise equilibrium, are elaborated on in chapter seven along with successful patch tests in the physical (x,y) Cartesian frame. Chapter eight explains pointwise incompressibility and employs (MoorePenrose) inversion of rectangular matrices. The final chapter analyzes patchtests in all directions and introduces fivenode elements for linear stresses. Curved boundaries and higher order stresses are addressed in closed algebraic form. Appendices give a short introduction to Mathematica, followed by truss analysis using symbolic codes that could be used in all FEM problems to assemble element matrices and solve for all unknowns. All Mathematica codes for theoretical formulations and graphics are included with extensive numerical examples
 Language
 eng
 Extent
 XXXVI, 333 p. 45 illus.
 Contents

 1. Bar
 2. Trusses
 3. 2D Llinear Interpolation
 4. Triangular Elements
 5. Taig’s Convex Quadrilateral Elements
 6. Irons patch test
 7. Eight DOFs
 8. Incompressibility
 9. Conclusions
 Isbn
 9781493974238
 Label
 Finite Element Concepts : A ClosedForm Algebraic Development
 Title
 Finite Element Concepts
 Title remainder
 A ClosedForm Algebraic Development
 Statement of responsibility
 by Gautam Dasgupta
 Subject

 Civil Engineering
 Mechanical Engineering
 Civil Engineering
 Differential equations, Partial
 Mechanical engineering
 Computer science  Mathematics
 Mechanical engineering
 Electronic resources
 Mechanical Engineering
 Civil engineering
 Mechanical Engineering
 Mathematical and Computational Engineering
 Engineering
 Civil engineering
 Computer science  Mathematics
 Differential equations, Partial
 Partial Differential Equations
 Engineering
 Civil Engineering
 Engineering
 Mechanical engineering
 Computational Science and Engineering
 Civil engineering
 Language
 eng
 Summary
 This text presents a highly original treatment of the fundamentals of FEM, developed using computer algebra, based on undergraduatelevel engineering mathematics and the mechanics of solids. The book is divided into two distinct parts of nine chapters and seven appendices. The first chapter reviews the energy concepts in structural mechanics with bar problems, which is continued in the next chapter for truss analysis using Mathematica programs. The Courant and Clough triangular elements for scalar potentials and linear elasticity are covered in chapters three and four, followed by fournode elements. Chapters five and six describe Taig’s isoparametric interpolants and Iron’s patch test. Rayleigh vector modes, which satisfy pointwise equilibrium, are elaborated on in chapter seven along with successful patch tests in the physical (x,y) Cartesian frame. Chapter eight explains pointwise incompressibility and employs (MoorePenrose) inversion of rectangular matrices. The final chapter analyzes patchtests in all directions and introduces fivenode elements for linear stresses. Curved boundaries and higher order stresses are addressed in closed algebraic form. Appendices give a short introduction to Mathematica, followed by truss analysis using symbolic codes that could be used in all FEM problems to assemble element matrices and solve for all unknowns. All Mathematica codes for theoretical formulations and graphics are included with extensive numerical examples
 http://library.link/vocab/creatorName
 Dasgupta, Gautam
 Image bit depth
 0
 LC call number

 TA329348
 TA640643
 Literary form
 non fiction
 http://library.link/vocab/relatedWorkOrContributorName
 SpringerLink
 http://library.link/vocab/subjectName

 Engineering
 Differential equations, Partial
 Computer science
 Mechanical engineering
 Civil engineering
 Engineering
 Mathematical and Computational Engineering
 Partial Differential Equations
 Computational Science and Engineering
 Mechanical Engineering
 Civil Engineering
 Label
 Finite Element Concepts : A ClosedForm Algebraic Development, by Gautam Dasgupta, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 1. Bar  2. Trusses  3. 2D Llinear Interpolation  4. Triangular Elements  5. Taig’s Convex Quadrilateral Elements  6. Irons patch test  7. Eight DOFs  8. Incompressibility  9. Conclusions
 Dimensions
 unknown
 Extent
 XXXVI, 333 p. 45 illus.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9781493974238
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9781493974238
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9781493974238
 Label
 Finite Element Concepts : A ClosedForm Algebraic Development, by Gautam Dasgupta, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 1. Bar  2. Trusses  3. 2D Llinear Interpolation  4. Triangular Elements  5. Taig’s Convex Quadrilateral Elements  6. Irons patch test  7. Eight DOFs  8. Incompressibility  9. Conclusions
 Dimensions
 unknown
 Extent
 XXXVI, 333 p. 45 illus.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9781493974238
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9781493974238
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9781493974238
Subject
 Civil Engineering
 Civil Engineering
 Civil Engineering
 Civil engineering
 Civil engineering
 Civil engineering
 Computational Science and Engineering
 Computer science  Mathematics
 Computer science  Mathematics
 Differential equations, Partial
 Differential equations, Partial
 Electronic resources
 Engineering
 Engineering
 Engineering
 Mathematical and Computational Engineering
 Mechanical Engineering
 Mechanical Engineering
 Mechanical Engineering
 Mechanical engineering
 Mechanical engineering
 Mechanical engineering
 Partial Differential Equations
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