Finite element concepts (Record no. 560820)
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000 -LEADER | |
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fixed length control field | 02043 a2200205 4500 |
005 - DATE AND TIME OF LATEST TRANSACTION | |
control field | 20191209132651.0 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
fixed length control field | 191203b xxu||||| |||| 00| 0 eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
ISBN | 9781493974214 |
040 ## - CATALOGING SOURCE | |
Transcribing agency | IIT Kanpur |
041 ## - LANGUAGE CODE | |
Language code of text/sound track or separate title | eng |
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
Classification number | 518.25 |
Item number | D26f |
100 ## - MAIN ENTRY--AUTHOR NAME | |
Personal name | Dasgupta, Gautam |
245 ## - TITLE STATEMENT | |
Title | Finite element concepts |
Remainder of title | a closed-form algebraic development |
Statement of responsibility, etc | Gautam Dasgupta |
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
Name of publisher | Springer |
Year of publication | 2018 |
Place of publication | New York |
300 ## - PHYSICAL DESCRIPTION | |
Number of Pages | xxxvi, 333p |
520 ## - SUMMARY, ETC. | |
Summary, etc | 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. |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Finite element method |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Mechanical engineering |
942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
Koha item type | Text Books |
Withdrawn status | Lost status | Damaged status | Not for loan | Collection code | Home library | Current library | Date acquired | Source of acquisition | Cost, normal purchase price | Full call number | Accession Number | Copy number | Uniform Resource Identifier | Cost, replacement price | Koha item type |
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TEXT | PK Kelkar Library, IIT Kanpur | PK Kelkar Library, IIT Kanpur | 09/12/2019 | 60 | 3092.18 | 518.25 D26f cop.1 | A185003 | Copy 1 | 3865.22 | Text Books | |||||
TEXT | PK Kelkar Library, IIT Kanpur | PK Kelkar Library, IIT Kanpur | 09/12/2019 | 60 | 3092.18 | 518.25 D26f cop.2 | A185004 | Copy 2 | 3865.22 | Text Books |