The Resource Finite Element Concepts : A Closed-Form Algebraic Development, by Gautam Dasgupta, (electronic resource)

Finite Element Concepts : A Closed-Form Algebraic Development, by Gautam Dasgupta, (electronic resource)

Label
Finite Element Concepts : A Closed-Form Algebraic Development
Title
Finite Element Concepts
Title remainder
A Closed-Form Algebraic Development
Statement of responsibility
by Gautam Dasgupta
Creator
Contributor
Author
Provider
Subject
Language
eng
Summary
This text presents a highly original treatment of the fundamentals of FEM, developed using computer algebra, based on undergraduate-level 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 four-node elements. Chapters five and six describe Taig’s isoparametric interpolants and Iron’s patch test. Rayleigh vector modes, which satisfy point-wise equilibrium, are elaborated on in chapter seven along with successful patch tests in the physical (x,y) Cartesian frame. Chapter eight explains point-wise incompressibility and employs (Moore-Penrose) inversion of rectangular matrices. The final chapter analyzes patch-tests in all directions and introduces five-node 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
  • TA329-348
  • TA640-643
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 Closed-Form Algebraic Development, by Gautam Dasgupta, (electronic resource)
Instantiates
Publication
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. 2-D 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
10.1007/978-1-4939-7423-8
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-1-4939-7423-8
Label
Finite Element Concepts : A Closed-Form Algebraic Development, by Gautam Dasgupta, (electronic resource)
Publication
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. 2-D 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
10.1007/978-1-4939-7423-8
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-1-4939-7423-8

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